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Mathematic Quiz

Math quiz helps us to increase our knowledge

1 / 320

Category: Mensuration - Mathematics

Find the diameter of the circle whose area is given to be 113.04 m² (take pi = 3.14)

12 m

36 m

6 m

24 m

2 / 320

Category: Mensuration - Mathematics

Find the total surface area for a cube whose volume is given to be 512 m³.

384 cm^2

644 cm^2

586 cm^2

822 cm^2

3 / 320

Category: Mensuration - Mathematics

Find the area of a parallelogram with height and breadth given to be 11 cm and 12 cm, respectively.

66 cm^2

132 cm^2

144 cm^2

121 cm^2

4 / 320

Category: Mensuration - Mathematics

1 litre = ______ cubic centimeters?

10 cm^3

10000 cm^3

100 cm^3

1000 cm^3

5 / 320

Category: Mensuration - Mathematics

What is the area of a triangle whose base is given to be 7 cm and height as 8 cm?

56 cm^2

28 cm^2

23 cm^2

21 cm^2

6 / 320

Category: Mensuration - Mathematics

Find the length of the edge of a cube whose surface area is given as 54 cm².

6 cm

9 cm

3 cm

12 cm

7 / 320

Category: Mensuration - Mathematics

What is the formula for the curved surface area of a regular cylinder?

πrh

πr^2

πr^2h

2πrh

8 / 320

Category: Mensuration - Mathematics

The area of a trapezium is 1240 m². The distance between the two pairs of parallel sides is given to be 20 m. If the length of one of the parallel sides is 60 m, find the length of the other parallel side.

68 m

54 m

64 m

70 m

9 / 320

Category: Mensuration - Mathematics

Find the perimeter of the largest circle that can fit inside a square with the side 7cm (take pi = 22/7).

14 cm

24 cm

28 cm

22 cm

10 / 320

Category: Mensuration - Mathematics

The number of pairs of identical faces in a cuboid.

11 / 320

Category: Mensuration - Mathematics

Find the radius of a circle whose circumference is given to be 95 cm (take pi= 3.14).

18.32 cm

14.91 cm

15.13 cm

15.41 cm

12 / 320

Category: Mensuration - Mathematics

Find the height of a regular cylinder whose radius is 14 cm and the total surface area is 4342 cm² is (take pi= 22/7):

33.61 cm

29.45 cm

35.34 cm

39.41 cm

13 / 320

Category: Mensuration - Mathematics

The area of a rhombus is 360 cm² and one of the diagonals is 12 cm. Find the other diagonal.

42 cm

60 cm

72 cm

54 cm

14 / 320

Category: Mensuration - Mathematics

How many cubes with an edge length of 2 cm can fit inside a cuboid with dimensions of length, breadth and height given to be 8 m, 6 m, and 10 m, respectively?

60000

60000000

600000

6000

15 / 320

Category: Mensuration - Mathematics

Find the breadth of a cuboid when the volume is given to be 64 m³ for length and height given as 8 m and 2 m, respectively.

8 m

2 m

4 m

6 m

16 / 320

Category: Mensuration - Mathematics

A cuboidal box has its length, breadth and height given to be 10 cm, 5 cm and 15 cm, respectively. Find the total surface area for the cuboid

1000 cm^2

600 cm^2

550 cm^2

800 cm^2

17 / 320

Category: Mensuration - Mathematics

Find the area of a rhombus whose diagonals are given to be of lengths 6 cm and 7 cm.

30 cm^2

21 cm^2

28 cm^2

42 cm^2

18 / 320

Category: H.C.F and L.C.M - Mathematics

The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:

19 / 320

Category: H.C.F and L.C.M - Mathematics

Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:

20 / 320

Category: H.C.F and L.C.M - Mathematics

Which of the following has the most number of divisors?

101

176

182

21 / 320

Category: H.C.F and L.C.M - Mathematics

The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:

184

364

Explanation:

L.C.M. of 6, 9, 15 and 18 is 90.

Let required number be 90k + 4, which is multiple of 7.

Least value of k for which (90k + 4) is divisible by 7 is k = 4.

Required number = (90 x 4) + 4 = 364.

22 / 320

Category: H.C.F and L.C.M - Mathematics

Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:

120

200

23 / 320

Category: H.C.F and L.C.M - Mathematics

The G.C.D. of 1.08, 0.36 and 0.9 is:

0.03

0.9

0.18

0.108

24 / 320

Category: H.C.F and L.C.M - Mathematics

The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:

25 / 320

Category: H.C.F and L.C.M - Mathematics

The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:

276

299

322

345

26 / 320

Category: H.C.F and L.C.M - Mathematics

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?

26 minutes and 18 seconds

42 minutes and 36 seconds

45 minutes

46 minutes and 12 seconds

27 / 320

Category: H.C.F and L.C.M - Mathematics

Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

28 / 320

Category: H.C.F and L.C.M - Mathematics

The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:

504

536

544

548

29 / 320

Category: H.C.F and L.C.M - Mathematics

The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:

1008

1015

1022

1032

30 / 320

Category: H.C.F and L.C.M - Mathematics

Which of the following fraction is the largest ?

7/8

13/16

31/40

63/80

31 / 320

Category: H.C.F and L.C.M - Mathematics

Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:

32 / 320

Category: H.C.F and L.C.M - Mathematics

The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:

33 / 320

Category: H.C.F and L.C.M - Mathematics

Reduce	128352	to its lowest terms.
Reduce	238368

5/13

3/4

913

7/13

34 / 320

Category: H.C.F and L.C.M - Mathematics

If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:

55/601

601/55

11/120

120/11

35 / 320

Category: H.C.F and L.C.M - Mathematics

The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:

9000

9400

9600

9800

36 / 320

Category: H.C.F and L.C.M - Mathematics

Find the highest common factor of 36 and 84.

37 / 320

Category: H.C.F and L.C.M - Mathematics

The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:

123

127

235

305

38 / 320

Category: H.C.F and L.C.M - Mathematics

What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?

196

630

1260

2520

39 / 320

Category: H.C.F and L.C.M - Mathematics

The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is:

40 / 320

Category: H.C.F and L.C.M - Mathematics

The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:

1677

1683

2523

3363

41 / 320

Category: H.C.F and L.C.M - Mathematics

The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:

279

283

308

318

42 / 320

Category: H.C.F and L.C.M - Mathematics

The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:

101

107

111

185

43 / 320

Category: H.C.F and L.C.M - Mathematics

The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is:

15 cm

25 cm

35 cm

42 cm

44 / 320

Category: H.C.F and L.C.M - Mathematics

The H.C.F. of	9	,	12	,	18	and	21	is:
	10		25		35		40

3/5

252/5

3/1400

63/700

45 / 320

Category: H.C.F and L.C.M - Mathematics

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?

46 / 320

Category: H.C.F and L.C.M - Mathematics

252 can be expressed as a product of primes as:

2 x 2 x 3 x 3 x 7

2 x 2 x 2 x 3 x 7

3 x 3 x 3 x 3 x 7

2 x 3 x 3 x 3 x 7

47 / 320

Category: H.C.F and L.C.M - Mathematics

Find the lowest common multiple of 24, 36 and 40.

120

240

360

480

48 / 320

Category: Ratio and Proportion - Mathematics

If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?

2 : 5

3 : 7

5 : 3

7 : 3

49 / 320

Category: Ratio and Proportion - Mathematics

Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:

50 / 320

Category: Ratio and Proportion - Mathematics

A and B together have ₹ 1210. If of A's amount is equal to of B's amount, how much amount does B have?

₹ 460

₹ 484

₹ 550

₹ 664

51 / 320

Category: Ratio and Proportion - Mathematics

The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?

8 : 9

17 : 18

21 : 22

Cannot be determined

52 / 320

Category: Ratio and Proportion - Mathematics

The fourth proportional to 5, 8, 15 is:

53 / 320

Category: Ratio and Proportion - Mathematics

The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:

54 / 320

Category: Ratio and Proportion - Mathematics

If Rs. 782 be divided into three parts, proportional to : : , then the first part is:

Rs. 182

Rs. 190

Rs. 196

Rs. 204

55 / 320

Category: Ratio and Proportion - Mathematics

Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?

Rs. 17,000

Rs. 20,000

Rs. 25,500

Rs. 38,000

56 / 320

Category: Ratio and Proportion - Mathematics

In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quantity of water to be further added is:

20 litres

30 litres

40 litres

60 litres

57 / 320

Category: Ratio and Proportion - Mathematics

If 0.75 : x :: 5 : 8, then x is equal to:

1.12

1.2

1.25

1.30

58 / 320

Category: Ratio and Proportion - Mathematics

Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?

2 : 3 : 4

6 : 7 : 8

6 : 8 : 9

None of these

59 / 320

Category: Ratio and Proportion - Mathematics

In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?

100

150

200

60 / 320

Category: Ratio and Proportion - Mathematics

A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets ₹ 1000 more than D, what is B's share?

₹ 500

₹ 1500

₹ 2000

None of these

61 / 320

Category: Ratio and Proportion - Mathematics

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:

2 : 5

3 : 5

4 : 5

6 : 7

62 / 320

Category: Ratio and Proportion - Mathematics

The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?

3 : 3 : 10

10 : 11 : 20

23 : 33 : 60

Cannot be determined

63 / 320

Category: Decimals - Mathematics

Find the value of 35 – 2.54.

32.46

1.46

3.246

37.54

64 / 320

Category: Decimals - Mathematics

Which of the following is smaller?

0.7

0.07

0.007

0.0007

65 / 320

Category: Decimals - Mathematics

Which of the following number can be placed in the tens column if the given number is 297.35?

66 / 320

Category: Decimals - Mathematics

What is the place value of 2 in the given decimal 924.75?

ones

tens

tenth

hundredth

67 / 320

Category: Decimals - Mathematics

Find the value of 9.756 – 6.28.

16.036

9.128

3.476

34.76

68 / 320

Category: Decimals - Mathematics

The number 0.125 can be written as fractions in lowest terms:

1/8

125/1000

25/200

5/40

69 / 320

Category: Decimals - Mathematics

The sum of 0.007 + 8.5 + 30.08 is:

38.587

3.100

18.508

385.87

70 / 320

Category: Decimals - Mathematics

5.008 can be written in words as:

Five thousand eight

Five point eight

Fifty point eight

Five point zero zero eight

71 / 320

Category: Decimals - Mathematics

What is the decimal expansion of 5/10?

0.5

5.0

0.05

0.005

72 / 320

Category: Decimals - Mathematics

Which of the following number can be placed in the tenth column if the given number is 297.35?

73 / 320

Category: Decimals - Mathematics

What is the place value of 5 in the given decimal 924.75?

ones

tens

tenth

hundredth

74 / 320

Category: Decimals - Mathematics

32.549 > 32.458 because:

Tenth part is more

Hundredth is more

Thousandth is more

Whole part of both numbers are equal

75 / 320

Category: Decimals - Mathematics

137 + 5/100 can be written in the decimal form as:

137.5

137.05

13.75

1.375

76 / 320

Category: Decimals - Mathematics

8888 m in Km can be written as:

88.88 Km

888.8 Km

8.888 Km

8888 Km

77 / 320

Category: Decimals - Mathematics

4.19 m in cm can be written as:

419 cm

41.9 cm

0.419 cm

41.09 cm

78 / 320

Category: Decimals - Mathematics

Raju bought a book for ₹ 35.65. He gave ₹ 50 to the shopkeeper. How much money did he get back from the shopkeeper?

₹ 36.15

₹ 14.35

₹ 80.65

₹ 1.435

79 / 320

Category: Decimals - Mathematics

Two tens and nine tenths in decimal form is given by:

2.9

20.09

2.09

20.9

80 / 320

Category: Decimals - Mathematics

600 + 2 + 8/10 can be written in decimal form as:

6002.8

602.8

628

none of these

81 / 320

Category: Decimals - Mathematics

Write the following as decimals: “Two ones and five-tenths”.

2.5

21.5

none of these

82 / 320

Category: Decimals - Mathematics

Which of the following point lies between 0.1 and 0.2?

0.19

1.9

10.9

1.09

83 / 320

Category: Compound Interest - Mathematics

The least number of complete years in which a sum of money put out at 20% compound interest will be more than doubled is:

84 / 320

Category: Compound Interest - Mathematics

There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate?

Rs. 2160

Rs. 3120

Rs. 3972

Rs. 6240

85 / 320

Category: Compound Interest - Mathematics

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs.) is:

625

630

640

650

86 / 320

Category: Compound Interest - Mathematics

What is the difference between the compound interests on Rs. 5000 for 1 years at 4% per annum compounded yearly and half-yearly?

Rs. 2.04

Rs. 3.06

Rs. 4.80

Rs. 8.30

87 / 320

Category: Compound Interest - Mathematics

The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time at half the rate percent per annum is:

Rs. 400

Rs. 500

Rs. 600

Rs. 800

88 / 320

Category: Compound Interest - Mathematics

What will be the compound interest on a sum of Rs. 25,000 after 3 years at the rate of 12 p.c.p.a.?

Rs. 9000.30

Rs. 9720

Rs. 10123.20

Rs. 10483.20

89 / 320

Category: Compound Interest - Mathematics

Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is:

Rs. 1550

Rs. 1650

Rs. 1750

Rs. 2000

90 / 320

Category: Compound Interest - Mathematics

The compound interest on ₹ 30,000 at 7% per annum is ₹ 4347. The period (in years) is:

2 \frac{1}{2}

91 / 320

Category: Compound Interest - Mathematics

Albert invested an amount of Rs. 8000 in a fixed deposit scheme for 2 years at compound interest rate 5 p.c.p.a. How much amount will Albert get on maturity of the fixed deposit?

Rs. 8600

Rs. 8620

Rs. 8820

None of these

92 / 320

Category: Compound Interest - Mathematics

If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same at the same rate and for the same time?

Rs. 51.25

Rs. 52

Rs. 54.25

Rs. 60

93 / 320

Category: Compound Interest - Mathematics

A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits Rs. 1600 each on 1^st January and 1^st July of a year. At the end of the year, the amount he would have gained by way of interest is:

Rs. 120

Rs. 121

Rs. 122

Rs. 123

94 / 320

Category: Compound Interest - Mathematics

The difference between simple interest and compound on Rs. 1200 for one year at 10% per annum reckoned half-yearly is:

Rs. 2.50

Rs. 3

Rs. 3.75

Rs. 4

95 / 320

Category: Compound Interest - Mathematics

The difference between compound interest and simple interest on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum?

None of these

96 / 320

Category: Compound Interest - Mathematics

The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is:

6.06%

6.07%

6.08%

6.09%

97 / 320

Category: Compound Interest - Mathematics

At what rate of compound interest per annum will a sum of Rs. 1200 become Rs. 1348.32 in 2 years?

6.5%

7.5%

98 / 320

Category: Time and Work - Mathematics

A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?

11 days

13 days

20 \frac{3}{7} d a y s

None of these

99 / 320

Category: Time and Work - Mathematics

A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

23 days

37 days

37 1/2 days

40 days

100 / 320

Category: Time and Work - Mathematics

A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M. while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximately at what time will the work (to print one lakh books) be finished ?

11:30 A.M.

12 noon

12:30 P.M.

1:00 P.M.

101 / 320

Category: Time and Work - Mathematics

A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:

4 days

6 days

8 days

12 days

102 / 320

Category: Time and Work - Mathematics

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

12 days

15 days

16 days

18 days

103 / 320

Category: Time and Work - Mathematics

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

1/4

1/10

7/15

8/15

104 / 320

Category: Time and Work - Mathematics

10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?

None of these

105 / 320

Category: Time and Work - Mathematics

P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?

5 \frac{5}{11}

5 \frac{6}{11}

6 \frac{5}{11}

6 \frac{6}{11}

106 / 320

Category: Time and Work - Mathematics

A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

Rs. 375

Rs. 400

Rs. 600

Rs. 800

107 / 320

Category: Time and Work - Mathematics

A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :

8 days

10 days

12 days

15 days

108 / 320

Category: Time and Work - Mathematics

X can do a piece of work in 40 days. He works at it for 8 days and then Y finished it in 16 days. How long will they together take to complete the work?

13 \frac{1}{3} d a y s

15 days

20 days

26 days

109 / 320

Category: Time and Work - Mathematics

A and B can do a job together in 7 days. A is 1 3/4 times as efficient as B. The same job can be done by A alone in :

9 \frac{1}{3} d a y s

11 days

12 \frac{1}{4} d a y s

16 \frac{1}{3} d a y s

110 / 320

Category: Time and Work - Mathematics

A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:

9 1/5 days

9 2/5 days

9 3/5 days

10 days

111 / 320

Category: Time and Work - Mathematics

A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in :

4 days

6 days

8 days

12 days

112 / 320

Category: Time and Work - Mathematics

A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?

113 / 320

Category: Time and Work - Mathematics

A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:

15 days

20 days

25 days

30 days

114 / 320

Category: Time and Work - Mathematics

Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?

3 : 4

4 : 3

5 : 3

Data inadequate

115 / 320

Category: Time and Work - Mathematics

X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

6 days

10 days

15 days

20 days

116 / 320

Category: Time and Work - Mathematics

4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

117 / 320

Category: Time and Work - Mathematics

A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?

5 \frac{1}{2}

118 / 320

Category: Time and Work - Mathematics

If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:

4 days

5 days

6 days

7 days

119 / 320

Category: Time and Work - Mathematics

A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:

20 days

22 1/2 days

25 days

30 days

120 / 320

Category: Time and Work - Mathematics

A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?

18 days

24 days

30 days

36 days

121 / 320

Category: Time and Work - Mathematics

A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:

\frac{1}{24} d a y

\frac{7}{24} d a y

3 \frac{3}{7} d a y s

4 days

122 / 320

Category: Time and Work - Mathematics

Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?

7 hours 30 minutes

8 hours

8 hours 15 minutes

8 hours 25 minutes

123 / 320

Category: Time and Work - Mathematics

A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?

8 hours

10 hours

12 hours

24 hours

124 / 320

Category: Time and Work - Mathematics

Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:

125 / 320

Category: Time and Work - Mathematics

A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work in :

4 days

6 days

8 days

18 days

126 / 320

Category: Time and Work - Mathematics

A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:

5 days

6 days

10 days

10 \frac{1}{2} d a y s

127 / 320

Category: Time and Work - Mathematics

A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?

30 days

40 days

60 days

70 days

128 / 320

Category: Trigonometry - Mathematics

If cos X = ⅔ then tan X is equal to:

5/2

√(5/2)

√5/2

2/√5

129 / 320

Category: Trigonometry - Mathematics

If cos 9α = sinα and 9α < 90°, then the value of tan 5α is

1/√3

√3

130 / 320

Category: Trigonometry - Mathematics

The value of tan 60°/cot 30° is equal to:

131 / 320

Category: Trigonometry - Mathematics

The value of (tan 1° tan 2° tan 3° … tan 89°) is

1/2

132 / 320

Category: Trigonometry - Mathematics

If cos X = a/b, then sin X is equal to:

\frac{b^{2} - a^{2}}{b}

\frac{b - a}{b}

\frac{\sqrt{b^{2} - a^{2}}}{b}

\frac{\sqrt{b - a}}{b}

133 / 320

Category: Trigonometry - Mathematics

If sin A = 1/2 , then the value of cot A is

√3

1/√3

√3/2

134 / 320

Category: Trigonometry - Mathematics

The value of sin 60° cos 30° + sin 30° cos 60° is:

135 / 320

Category: Trigonometry - Mathematics

tan 30°/(1 + tan²30°) =

sin 60°

cos 60°

tan 60°

sin 30°

136 / 320

Category: Trigonometry - Mathematics

The value of (sin 45° + cos 45°) is

1/√2

√2

√3/2

137 / 320

Category: Trigonometry - Mathematics

If cos(α + β) = 0, then sin(α – β) can be reduced to

cos β

cos 2β

sin α

sin 2α

138 / 320

Category: Trigonometry - Mathematics

If ∆ABC is right angled at C, then the value of cos(A+B) is

1/2

√3/2

139 / 320

Category: Trigonometry - Mathematics

(Sin 30°+cos 60°)-(sin 60° + cos 30°) is equal to:

1+2√3

1-√3

1+√3

140 / 320

Category: Trigonometry - Mathematics

sin (90° – A) and cos A are:

Different

Same

Not related

None of the above

141 / 320

Category: Trigonometry - Mathematics

1 – cos²A is equal to:

\sin^{2} (A)

\tan^{2} (A)

1 - s i n^{2} (A)

\sec^{2} (A)

142 / 320

Category: Trigonometry - Mathematics

The value of the expression [cosec (75° + θ) – sec (15° – θ) – tan (55° + θ) + cot (35° – θ)] is

-1

3/2

143 / 320

Category: Trigonometry - Mathematics

sin 2A = 2 sin A is true when A =

30°

45°

0°

60°

144 / 320

Category: Trigonometry - Mathematics

The value of the expression sin⁶θ + cos⁶θ + 3 sin²θ cos²θ is

145 / 320

Category: Trigonometry - Mathematics

If sin A + sin²A = 1, then the value of the expression (cos²A + cos⁴A) is

1/2

146 / 320

Category: Trigonometry - Mathematics

In ∆ ABC, right-angled at B, AB = 24 cm, BC = 7 cm. The value of tan C is:

12/7

24/7

20/7

7/24

147 / 320

Category: Algebra - Mathematics

Solve the logarithmic equation: log₂(x-1) +log₂(x+1) = 2

x = 3

x = √5

x = 4

x = 5

148 / 320

Category: Algebra - Mathematics

What is the order of operations in algebra?

Addition, subtraction, multiplication, division

Parentheses, exponents, multiplication, division, addition, subtraction

Multiplication, addition, subtraction, division

Division, addition, subtraction, multiplication

149 / 320

Category: Algebra - Mathematics

Solve for x:

2x+5=15

x=10

x=5

x=7

x=3

150 / 320

Category: Algebra - Mathematics

Solve the system of equations:

2x + y = 5

x - y = 1

x = 2, y = 1

x = 1, y = 2

x = 3, y = -1

x -1, y = 3

151 / 320

Category: Algebra - Mathematics

The solution of the system x + y − 3x = −6 , − 7y + 7z = 7 , 3z = 9 is

x = 1, y = 2, z = 3

x = −1, y = 2, z = 3

x = − 1, y = −2, z = 3

x = 1, y = 2, z = 3

152 / 320

Category: Algebra - Mathematics

What is the definition of a variable in algebra?

A constant value

A symbol representing a quantity

A mathematical operation

A whole number

153 / 320

Category: Algebra - Mathematics

Which of the following is the complex conjugate of 3 - 4i?

3 + 4i

-3 - 4i

-3 + 4i

3 - 4i

154 / 320

Category: Algebra - Mathematics

Solve the inequality:

2x-7<5

x<6

x>6

x<1

x>1

155 / 320

Category: Algebra - Mathematics

Factor: x²- 4

(x-2)(x+2)

(x+2)(x+2)

(x-4)(x+4)

(x-2)2

156 / 320

Category: Algebra - Mathematics

If (x - 6) is the HCF of x2 - 2x - 24 and x2 - kx - 6 then the value of k is

157 / 320

Category: Algebra - Mathematics

Define the term "expression" in algebra.

A mathematical sentence

A number

A combination of variables, numbers, and operators

An equation with an equal sign

158 / 320

Category: Algebra - Mathematics

Find the solution to the equation

1/x + 2/(x-1) = 3/(x-2)

x = 3

x = 3/2

x = 2

x = -2

159 / 320

Category: Algebra - Mathematics

Explain the concept of a quadratic equation.

An equation of degree 2

An equation with two variables

An equation involving square roots

An equation with a variable in the denominator

160 / 320

Category: Algebra - Mathematics

What is the sum of the roots of the equation x² - 6x + 9 = 0

161 / 320

Category: Algebra - Mathematics

What is the range of the function

f(x) = 1/(x-2)

x > 2

x ≥ 2

x < 2

x ≤ 2

162 / 320

Category: Algebra - Mathematics

In algebraic expressions, what does the term "coefficient" represent?

The highest power of the variable

A constant factor

The sum of the terms

The exponent of the variable

163 / 320

Category: Algebra - Mathematics

What does the absolute value of a number represent?

The distance of the number from zero on the number line

The square of the number

The reciprocal of the number

The logarithm of the number

164 / 320

Category: Algebra - Mathematics

Solve for x: |2x - 5| = 7

x = 6

x = -1

x = 6, x = -1

x = 1

165 / 320

Category: Algebra - Mathematics

Find the solution to the equation

(x+3) / (x-1) = 2/(x-2)

x = 4

x = 2

x = 3

x = 1

166 / 320

Category: Algebra - Mathematics

Find the roots of the equation x² + 4 = 0

x=2i

x=−2i

x=2i, x=−2i

x = 2, x = -2

167 / 320

Category: Algebra - Mathematics

Define the term "exponential function" in algebra.

A function with a rational exponent

A function involving ratios of polynomials

A function representing repeated multiplication

A function with irrational roots

168 / 320

Category: Algebra - Mathematics

Find the solution to the equation

sin(x) + cos(x) = 0 for 0 ≤ x ≤ 2π

x=π/4

x=3π/4

x=5π/4

x=7π/4

169 / 320

Category: Algebra - Mathematics

Solve for x: log₄(x) + log₄(x+1) = 2

x = 1

x = 2

x = 3

x = 4

170 / 320

Category: Algebra - Mathematics

Define the term "conjugate" in algebra and its role in simplifying expressions.

The sum of two terms

The difference of two terms

The product of two terms with the same sign

The product of two terms with opposite signs

171 / 320

Category: Algebra - Mathematics

A system of three linear equations in three variables is inconsistent if their planes

intersect only at a point

intersect in a line

coincides with each other

do not intersect

172 / 320

Category: Algebra - Mathematics

Solve the system of equations:

3x + 2y =10

x - y = 1

x = 2, y = 1

x = 3, y = 2

x = 1, y = 2

x = −1, y = 2

173 / 320

Category: Algebra - Mathematics

Simplify: 3(2x-4) + 5

6x+7

6x-7

6x-3

6x+3

174 / 320

Category: Algebra - Mathematics

Simplify the expression: √18 - √8

2√2

3√2

√10

√20

175 / 320

Category: Algebra - Mathematics

Solve the quadratic equation: 3x² - 5x + 2 =0

x = 1/3, x = 2/3

x = 1, x = -2/3

x = -1/3, x = -2/3

x = 1/3, x = -2/3

176 / 320

Category: Algebra - Mathematics

Solve the equation 2^x - 8 = 0 for x

177 / 320

Category: Algebra - Mathematics

What is the purpose of factoring in algebra?

To solve equations

To simplify expressions

To find the square root of a number

To graph functions

178 / 320

Category: Algebra - Mathematics

Evaluate: 3⁄4 × 2⁄3

1⁄2

3⁄4

1⁄3

2⁄5

179 / 320

Category: Algebra - Mathematics

Simplify the expression: ∛27x⁹

3 x^{3}

9 x^{3}

3 x^{6}

9 x^{6}

180 / 320

Category: Algebra - Mathematics

Discuss the properties and applications of complex numbers in algebra.

Complex numbers are solutions to linear equations only.

Complex numbers have no real parts.

Complex numbers include real and imaginary parts.

Complex numbers are only applicable to quadratic equations.

181 / 320

Category: Algebra - Mathematics

Solve for x: 2^x-1 = 8

x = 2

x = 3

x = 4

x = 1

182 / 320

Category: Algebra - Mathematics

Solve the system of equations using matrices:

2x + y = 5

3x - 2y = 4

x = 2, y = 1

x = 1, y = 2

x = −1, y = 3

x = 3, y = −1

183 / 320

Category: Algebra - Mathematics

Define the term "eigenvalue" in the context of linear algebra.

The determinant of a matrix

A scalar representing the stretching or compressing factor in a linear transformation

The sum of the diagonal elements of a matrix

The product of the diagonal elements of a matrix

184 / 320

Category: Algebra - Mathematics

\frac{9 y}{7}

\frac{9 y^{3}}{(21 y - 21)}

\frac{21 y^{3} - 42 y + 21}{3 y^{3}}

\frac{7 (y^{3} - 2 y + 1)}{y^{2}}

185 / 320

Category: Algebra - Mathematics

What is the difference between a binomial and a trinomial?

A binomial has two terms, and a trinomial has three terms.

A binomial has one term, and a trinomial has two terms.

A binomial has three terms, and a trinomial has four terms.

A binomial has four terms, and a trinomial has five terms.

Explanation

186 / 320

Category: Algebra - Mathematics

Find the solution to the equation (x² + 4x + 4)/(x+2) = 0

x = -2

x = -4

x = 2

x = 4

187 / 320

Category: Algebra - Mathematics

Find the roots of the quadratic equation: 2x² - 5x + 3 = 0

x = 1/2, x=3

x=1, x=2

x=3, x=1/2

x=2, x=3

188 / 320

Category: Algebra - Mathematics

Solve for: e^2x - 5e^x + 6 = 0

x=ln(2)

x=ln(3)

x=ln(6)

x=ln(1/2)

189 / 320

Category: Algebra - Mathematics

Solve for x: 2√x = 8

x = 16

x = 4

x = 64

x = 32

190 / 320

Category: Algebra - Mathematics

Find the sum of the arithmetic series:
2 + 5 + 8 + ... + 20

117

120

122

125

191 / 320

Category: Time and Distance - Mathematics

An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 hours, it must travel at a speed of:

300 kmph

360 kmph

600 kmph

720 kmph

192 / 320

Category: Time and Distance - Mathematics

In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:

5 kmph

6 kmph

6.25 kmph

7.5 kmph

193 / 320

Category: Time and Distance - Mathematics

If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:

50 km

56 km

70 km

80 km

194 / 320

Category: Time and Distance - Mathematics

A car travelling with of its actual speed covers 42 km in 1 hr 40 min 48 sec. Find the actual speed of the car.

17 \frac{6}{7} K m / h r

25 km/hr

30 km/hr

35 km/hr

195 / 320

Category: Time and Distance - Mathematics

A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:

35.55 km/hr

36 km/hr

71.11 km/hr

71 km/hr

196 / 320

Category: Time and Distance - Mathematics

Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?

8 kmph

11 kmph

12 kmph

14 kmph

197 / 320

Category: Time and Distance - Mathematics

A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?

3.6

7.2

8.4

198 / 320

Category: Time and Distance - Mathematics

A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is:

14 km

15 km

16 km

17 km

199 / 320

Category: Time and Distance - Mathematics

In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:

1 hour

2 hours

3 hours

4 hours

200 / 320

Category: Time and Distance - Mathematics

Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

201 / 320

Category: Time and Distance - Mathematics

A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.

220 km

224 km

230 km

234 km

202 / 320

Category: Time and Distance - Mathematics

A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is:

36 \frac{2}{3}

37 \frac{1}{2}

203 / 320

Category: Time and Distance - Mathematics

The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:

70 Km/hr

75 Km/hr

84 Km/hr

87.5 Km/hr

204 / 320

Category: Time and Distance - Mathematics

A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:

100 kmph

110 kmph

120 kmph

130 kmph

205 / 320

Category: Time and Distance - Mathematics

It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:

2 : 3

3 : 2

3 : 4

4 : 3

206 / 320

Category: Simple Interest - Mathematics

A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6% p.a for 2 years. Find his gain in the transaction per year.

Rs. 112.50

Rs. 125

Rs. 225

Rs. 167.50

207 / 320

Category: Simple Interest - Mathematics

A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest. What is the rate of interest?

208 / 320

Category: Simple Interest - Mathematics

A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is:

12%

15%

209 / 320

Category: Simple Interest - Mathematics

Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?

3.6

None of these

210 / 320

Category: Simple Interest - Mathematics

A sum fetched a total simple interest of ₹ 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?

₹ 4462.50

₹ 8032.50

₹ 8900

₹ 8925

211 / 320

Category: Simple Interest - Mathematics

A sum of money at simple interest amounts to ₹ 815 in 3 years and to ₹ 854 in 4 years. The sum is:

₹ 650

₹ 690

₹ 698

₹ 700

212 / 320

Category: Simple Interest - Mathematics

A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is:

7 \frac{1}{8} %

10%

213 / 320

Category: Simple Interest - Mathematics

A sum of Rs. 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs. 362.50 more is lent but at the rate twice the former. At the end of the year, Rs. 33.50 is earned as interest from both the loans. What was the original rate of interest?

3.6%

4.5%

None of these

214 / 320

Category: Simple Interest - Mathematics

How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?

3.5 years

4 years

4.5 years

5 years

215 / 320

Category: Simple Interest - Mathematics

What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?

1 : 3

1 : 4

2 : 3

None of these

Explanation:

Let the principal be P and rate of interest be R%.

Required ratio =

	P x R x 6
100

6PR

= 2 : 3.

	P x R x 9
100

9PR

216 / 320

Category: Simple Interest - Mathematics

An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes:

10%

10.25%

10.5%

None of these

217 / 320

Category: Simple Interest - Mathematics

A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?

Rs. 35

Rs. 245

Rs. 350

Cannot be determined

218 / 320

Category: Simple Interest - Mathematics

A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was:

Rs. 2000

Rs. 10,000

Rs. 15,000

Rs. 20,000

219 / 320

Category: Simple Interest - Mathematics

Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?

Rs. 6400

Rs. 6500

Rs. 7200

Rs. 7500

220 / 320

Category: Elementary Statistics - Mathematics

In five One-Day Internationals, a batsman has scored 31,97,112, 63, and 12 runs. the quality deviation of the info is-

21.78

23.79

25.79

26.77

221 / 320

Category: Elementary Statistics - Mathematics

Determine the mode of the decision received seven days in a row: 11,13,13,17,19,23,25

222 / 320

Category: Elementary Statistics - Mathematics

What is the median of the following 7 days: 11, 13, 17, 13, 23,25,19?

223 / 320

Category: BODMAS - Mathematics

Work out: 5 × [20 – (9 + 2)]

105

224 / 320

Category: BODMAS - Mathematics

Calculate: 12 – 4 × (6 – 2)

-4

-6

-7

-8

225 / 320

Category: BODMAS - Mathematics

14 – 6 ÷ 2 × 3

226 / 320

Category: BODMAS - Mathematics

42 ÷ 7 + 10 – 3

227 / 320

Category: BODMAS - Mathematics

Simplify (4×b−1)÷3(4 × b – 1) ÷ 3(4×b−1)÷3 for b=5b = 5b=5

5.31

6.33

6.12

7.03

228 / 320

Category: BODMAS - Mathematics

Calculate: (16 ÷ (8 ÷ 2)) + 1

229 / 320

Category: BODMAS - Mathematics

Simplify: [25 ÷ (10 – 4)] × 2

8.33

6.33

1.67

2.76

230 / 320

Category: BODMAS - Mathematics

If a=3a = 3a=3, solve 15+a×(5−2)15 + a × (5 – 2)15+a×(5−2)

231 / 320

Category: BODMAS - Mathematics

If m=4m = 4m=4, n=2n = 2n=2, solve (m−n)2+n(m – n)^2 + n(m−n)2+n

232 / 320

Category: BODMAS - Mathematics

Evaluate: [9 + (12 ÷ (6 ÷ 3))] – 2

233 / 320

Category: BODMAS - Mathematics

Simplify: 20 ÷ {[10 – (4 × 2)] + 3}

234 / 320

Category: BODMAS - Mathematics

30 + (8 × 4) – 9

235 / 320

Category: BODMAS - Mathematics

Evaluate: 9 + 24 ÷ (12 ÷ 4)

236 / 320

Category: BODMAS - Mathematics

Work out: (8 ÷ 2)^2 – 5

237 / 320

Category: BODMAS - Mathematics

If b=6b = 6b=6, solve (b÷2)+10−4(b ÷ 2) + 10 – 4(b÷2)+10−4

238 / 320

Category: BODMAS - Mathematics

Evaluate: {[(12 – 4) × 2] ÷ 4} + 3

239 / 320

Category: BODMAS - Mathematics

Evaluate: (7 + 5) ÷ (4 – 1)

240 / 320

Category: BODMAS - Mathematics

Calculate: 6 + {8 ÷ [5 – (2 + 1)]}

241 / 320

Category: BODMAS - Mathematics

Simplify: 12 – (3 × (7 – 4))

242 / 320

Category: BODMAS - Mathematics

Simplify: (20 ÷ 5) × 2 + 1

243 / 320

Category: BODMAS - Mathematics

36 ÷ (9 – 3) + 4

244 / 320

Category: BODMAS - Mathematics

Find: 15 × (4 – 1) ÷ 3

245 / 320

Category: BODMAS - Mathematics

Solve 45−(9÷a)45 – (9 ÷ a)45−(9÷a) when a=3a = 3a=3

246 / 320

Category: BODMAS - Mathematics

(24 ÷ 4) × 5 – 7

247 / 320

Category: Geometry - Mathematics

In the given figure , AOB is a straight line, ∠ AOC = (3x-8)° and ∠COD =50 and ∠BOD° =(x+10)°. The value of the x is

q 16

32°

42°

36°

52°

Explanation

Since ∠AOB is a straight angle , we have
∠AOC  + ∠ COB  + ∠ BOD  = 180° 
⇒ (3X  8)° + 50° + (X+ 10)° = 180° 
⇒ 4X = 128 ⇒ X = 32.

Explanation

Since ∠AOB is a straight angle , we have
∠AOC  + ∠ COB  + ∠ BOD  = 180° 
⇒ (3X  8)° + 50° + (X+ 10)° = 180° 
⇒ 4X = 128 ⇒ X = 32.

248 / 320

Category: Geometry - Mathematics

If the radius of a circle is doubled, how does the area change?

It remains the same

It doubles

It triples

It quadruples

249 / 320

Category: Geometry - Mathematics

An angle which is greater then 180° but less than 360° is called

Acute Angle

Obtuse Angle

Straight Angle

Reflex Angle

Explanation

An angle which is greater than 180°  but less than 360° is called a reflex angle.

Explanation

An angle which is greater than 180°  but less than 360° is called a reflex angle.

250 / 320

Category: Geometry - Mathematics

How many angles are made by rays shown in the figure?

q 10

Explanation

The angle are ∠AOB , ∠BOC,∠COD,∠DOE,∠AOC,∠AOD, ∠AOE,∠BOD,∠BOD,∠COE. 
Thus , 10 angle are  formed.

Explanation

The angle are ∠AOB , ∠BOC,∠COD,∠DOE,∠AOC,∠AOD, ∠AOE,∠BOD,∠BOD,∠COE. 
Thus , 10 angle are  formed.

251 / 320

Category: Geometry - Mathematics

How many straight lines can be drawn through two given lines?

None

Only one

Two

Three

252 / 320

Category: Geometry - Mathematics

If an angle is its own complementary angle, then its measure is

30°

45°

60°

90°

Explanation

x=(90-x) ⇒ 2x = 90 ⇒ x = 45°

Explanation

x=(90-x) ⇒ 2x = 90 ⇒ x = 45°

253 / 320

Category: Geometry - Mathematics

A ray has

One end point

Two end points

Three end points

No end points

254 / 320

Category: Geometry - Mathematics

An angle is 24° more than its complement.The measure of the angle is

57°

47°

53°

66°

Explanation

x  (90-x ) = 24 ⇒ 2x = 114 ⇒ x = 57
∴ Required angle is 57°.

Explanation

x  (90-x ) = 24 ⇒ 2x = 114 ⇒ x = 57
∴ Required angle is 57°.

255 / 320

Category: Geometry - Mathematics

The complement of 62° is

118°

28°

38°

48°

Explanation

Complement of 62°= (90°  62°) = 28°.

Explanation

Complement of 62°= (90°  62°) = 28°.

256 / 320

Category: Geometry - Mathematics

What do you call a figure formed by two straight lines having a common point?

Angle

Triangle

Rhombus

Kite

257 / 320

Category: Geometry - Mathematics

In the given figure , AOB is a straight line, ∠AOC = (3x+20)° and ∠ BOC =(4 x-36)°. The value of the x is

q 15

32°

22°

26°

24°

Explanation

Since ∠AOB is a straight angle , we have 
∠AOC + ∠ BOC  =180° 
⇒ 3x + 20 +4x  36 = 180
⇒ 7x = 164 ⇒ x = 22.

Explanation

Since ∠AOB is a straight angle , we have 
∠AOC + ∠ BOC  =180° 
⇒ 3x + 20 +4x  36 = 180
⇒ 7x = 164 ⇒ x = 22.

258 / 320

Category: Geometry - Mathematics

What is the minimum number of lines required to make a closed figure?

One

Two

Three

Four

259 / 320

Category: Geometry - Mathematics

The supplement of 60° is

30°

40°

120°

300°

Explanation

Supplement of 60° = (180°-60°) =120°.

Explanation

Supplement of 60° = (180°-60°) =120°.

260 / 320

Category: Geometry - Mathematics

How many lines can pass through one point?

One

Two

Three

Four

261 / 320

Category: Geometry - Mathematics

In a right triangle, if one angle is 30 degrees, what is the other non-right angle?

30 degrees

45 degrees

60 degrees

90 degrees

262 / 320

Category: Geometry - Mathematics

How many dimension does a surface has?

One

Two

Three

Four

263 / 320

Category: Geometry - Mathematics

A line has

One end point

Two end points

Three end points

No end points

264 / 320

Category: Geometry - Mathematics

Which of the following is an axiom?

Theorems

Definitions

The universal truth in all branches of Mathematics

Universal truth specific to geometry

265 / 320

Category: Geometry - Mathematics

An angle is 32° less than its supplement. The measure of the angle is

37°

74°

48°

66°

Explanation

(180 X)  X = 32 ⇒  2x = 180  32 = 148 ⇒ x = 74. 
Required angle is 74°.

Explanation

(180 X)  X = 32 ⇒  2x = 180  32 = 148 ⇒ x = 74. 
Required angle is 74°.

266 / 320

Category: Geometry - Mathematics

An angle is one fifth of its supplement. The measure of the angle is

15°

30°

75°

150°

Explanation

x = 1/5 (180  x )⇒ 5x = 180  x ⇒ 6x = 180 ⇒ x = 30°.

Explanation

x = 1/5 (180  x )⇒ 5x = 180  x ⇒ 6x = 180 ⇒ x = 30°.

267 / 320

Category: Geometry - Mathematics

Which of the following are boundaries of a surface?

Lines

Curves

Surfaces

Points

268 / 320

Category: Geometry - Mathematics

The complement of 72° 40' is

107°20'

27°20'

17°20'

12°40'

Explanation

Complement of 72° 40' = (90°-72° 40') =17° 20'.

Explanation

Complement of 72° 40' = (90°-72° 40') =17° 20'.

269 / 320

Category: Geometry - Mathematics

A solid has how many dimensions?

One

Two

Three

Four

270 / 320

Category: Geometry - Mathematics

In the given figure, AOB is a straight line, ∠AOC = 68° and ∠BOC = x°. The value of the x is

q 14

120°

22°

112°

132°

Explanation

Since ∠AOB is a straight angle , we have
X+ 68 = 180 ⇒ x= (180-68)°  = 120°

Explanation

Since ∠AOB is a straight angle , we have
X+ 68 = 180 ⇒ x= (180-68)°  = 120°

271 / 320

Category: Geometry - Mathematics

What is the sum of the interior angles of a triangle?

90 degrees

180 degrees

270 degrees

360 degrees

272 / 320

Category: Geometry - Mathematics

Two Supplementary angles are in th ratio 3:2. The smaller angle measures

108°

81°

72°

66°

Explanation

Let the measures of the angle be (3x)° and (2x)°. Then, 
3x+2x=180 ⇒ 5x = 180 ⇒ x = 36.
Smaller angle = (2x)° = (2*36)° = 72°.

Explanation

Let the measures of the angle be (3x)° and (2x)°. Then, 
3x+2x=180 ⇒ 5x = 180 ⇒ x = 36.
Smaller angle = (2x)° = (2*36)° = 72°.

273 / 320

Category: Geometry - Mathematics

A line segment has

One end point

Two end points

Three end points

No end points

274 / 320

Category: Geometry - Mathematics

What is the area of a rectangle with length 5 cm and width 3 cm?

15 cm²

20 cm²

8 cm²

10 cm²

275 / 320

Category: Geometry - Mathematics

What is the volume of a cube with side length 4 cm?

16 cm³

24 cm³

32 cm³

64 cm³

276 / 320

Category: Percentages - Mathematics

In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:

2700

2900

3000

3100

277 / 320

Category: Percentages - Mathematics

A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?

45%

45 5/11%

54 6/11%

55%

278 / 320

Category: Percentages - Mathematics

Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.

2 : 3

1 : 1

3 : 4

4 : 3

279 / 320

Category: Percentages - Mathematics

Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?

Rs. 200

Rs. 250

Rs. 300

None of these

280 / 320

Category: Percentages - Mathematics

Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:

39, 30

41, 32

42, 33

43, 34

281 / 320

Category: Percentages - Mathematics

If 20% of a = b, then b% of 20 is the same as:

4% of a

5% of a

20% of a

None of these

282 / 320

Category: Percentages - Mathematics

The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:

4.37%

8.75%

283 / 320

Category: Percentages - Mathematics

Rajeev buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.

Rs. 6876.10

Rs. 6999.20

Rs. 6654

Rs. 7000

284 / 320

Category: Percentages - Mathematics

What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?

285 / 320

Category: Percentages - Mathematics

A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:

588 apples

600 apples

672 apples

700 apples

286 / 320

Category: Percentages - Mathematics

Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?

57%

60%

65%

90%

287 / 320

Category: Percentages - Mathematics

In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is of the number of students of 8 years of age which is 48. What is the total number of students in the school?

120

150

100

288 / 320

Category: Percentages - Mathematics

Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?

Rs. 15

Rs. 15.70

Rs. 19.70

Rs. 20

289 / 320

Category: Percentages - Mathematics

If A = x% of y and B = y% of x, then which of the following is true?

A is smaller than B.

A is greater than B

Relationship between A and B cannot be determined.

None of these

290 / 320

Category: Percentages - Mathematics

A student multiplied a number by	3	instead of	5	.
	5		3

What is the percentage error in the calculation?

34%

44%

54%

64%

291 / 320

Category: Profit and Loss - Mathematics

Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:

30%

33 \frac{1}{3} %

35%

44%

292 / 320

Category: Profit and Loss - Mathematics

A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:

No profit, no loss

10%

293 / 320

Category: Profit and Loss - Mathematics

The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?

Rs. 2000

Rs. 2200

Rs. 2400

Data inadequate

294 / 320

Category: Profit and Loss - Mathematics

100 oranges are bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen. The percentage of profit or loss is:

14 \frac{2}{7} % g a i n

15% gain

14 \frac{2}{7} % l o s s

15 % loss

295 / 320

Category: Profit and Loss - Mathematics

When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?

Rs. 21,000

Rs. 22,500

Rs. 25,300

Rs. 25,800

296 / 320

Category: Profit and Loss - Mathematics

A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?

Rs. 1090

Rs. 1160

Rs. 1190

Rs. 1202

297 / 320

Category: Profit and Loss - Mathematics

A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

298 / 320

Category: Profit and Loss - Mathematics

On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:

Rs. 45

Rs. 50

Rs. 55

Rs. 60

299 / 320

Category: Profit and Loss - Mathematics

In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?

30%

70%

100%

250%

300 / 320

Category: Profit and Loss - Mathematics

A shopkeeper sells one transistor for Rs. 840 at a gain of 20% and another for Rs. 960 at a loss of 4%. His total gain or loss percent is:

5 \frac{15}{17} % l o s s

5 \frac{15}{17} % g a i n

6 \frac{2}{3} % g a i n

None of these

301 / 320

Category: Profit and Loss - Mathematics

Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is:

4 \frac{4}{7} %

5 \frac{5}{11} %

10%

12%

302 / 320

Category: Profit and Loss - Mathematics

If selling price is doubled, the profit triples. Find the profit percent.

66 \frac{2}{3}

100

105 \frac{1}{3}

120

303 / 320

Category: Profit and Loss - Mathematics

A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?

Rs. 18.20

Rs. 70

Rs. 72

Rs. 88.25

304 / 320

Category: Profit and Loss - Mathematics

The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:

305 / 320

Category: Profit and Loss - Mathematics

Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?

3.5

4.5

5.6

6.5

306 / 320

Category: Number system - Mathematics

The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is:

380

395

400

425

307 / 320

Category: Number system - Mathematics

If one-third of one-fourth of a number is 15, then three-tenth of that number is:

308 / 320

Category: Number system - Mathematics

The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?

None of these

309 / 320

Category: Number system - Mathematics

Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:

310 / 320

Category: Number system - Mathematics

A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:

145

253

370

352

311 / 320

Category: Number system - Mathematics

The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is:

169

None of these

312 / 320

Category: Number system - Mathematics

The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:

None of these

313 / 320

Category: Number system - Mathematics

A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:

314 / 320

Category: Number system - Mathematics

The sum of two number is 25 and their difference is 13. Find their product.

104

114

315

325

315 / 320

Category: Number system - Mathematics

The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?

Cannot be determined

316 / 320

Category: Number system - Mathematics

A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:

317 / 320

Category: Number system - Mathematics

What is the sum of two consecutive even numbers, the difference of whose squares is 84?

318 / 320

Category: Number system - Mathematics

In a two-digit, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:

319 / 320

Category: Number system - Mathematics

The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?

None of these

320 / 320

Category: Number system - Mathematics

Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number.

Your score is

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Other number =		11 x 7700		= 308.
		275

Other number =		11 x 7700		= 308.
		275

Required H.C.F. =	H.C.F. of 9, 12, 18, 21	=	3
	L.C.M. of 10, 25, 35, 40		1400

Required H.C.F. =	H.C.F. of 9, 12, 18, 21	=	3
	L.C.M. of 10, 25, 35, 40		1400

The required ratio =		42x	:	44x		= 21 : 22.
		5		5

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Analysis of Options:

Analysis of Options:

Explanation

Why the others are incorrect:

Explanation

Why the others are incorrect:

Reasoning:

✅ Answer

Reasoning:

✅ Answer

1. Add whole numbers

2. Convert the fraction

3. Combine both parts

1. Add whole numbers

2. Convert the fraction

3. Combine both parts

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Then, sum of their values = Rs.		25x	+	10 x 2x	+	5 x 3x		= Rs.	60x
		100		100		100			100

Amount of Rs. 100 for 1 year when compounded half-yearly		= Rs.		100 x		1 +	3		2		= Rs. 106.09
							100

So,	23	work will be done by Q and R in		60	x	23		=	23	hours 2 hours.
	60			11		60			11

Suppose A, B and C take x,	x	and	x	days respectively to finish the work.
	2		3

Number of days of 8 hours each =		480	x	1		=	60	days = 5	5	days.
		11		8			11		11

Hence, X and Y will together complete the work in		40		= 13	1	days.
		3			3

Formula: If A can do a piece of work in n days, then A's 1 day's work =	1	.
	n

Formula: If A's 1 day's work =	1	,	then A can finish the work in n days.
	n

So, all the three together will complete the job in		24	days	=	3	3	days.
		7				7

Time taken = 1 hr 40 min 48 sec = 1 hr 40	4	min = 1	51	hrs =	126	hrs.
	5		75		75

Since,	70	>	65	>	63	>	62	, so	7	>	13	>	63	>	31
	80		80		80		80		8		16		80		40

Since,	70	>	65	>	63	>	62	, so	7	>	13	>	63	>	31
	80		80		80		80		8		16		80		40

First number =		551		= 19; Third number =		1073		= 37.
		29				29

First number =		551		= 19; Third number =		1073		= 37.
		29				29

Sales tax = 10% of Rs. (6650 - 399) = Rs.		10	x 6251		= Rs. 625.10
		100

Required S.P. = 125% of Rs. 1600 = Rs.		125	x 1600		= Rs 2000.
		100

Required percentage =		295	x 100	%	=	1475	% = 70% (approximately).
		420				21

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Analysis of Options:

Analysis of Options:

Explanation

Why the others are incorrect:

Explanation

Why the others are incorrect:

Reasoning:

✅ Answer

Reasoning:

✅ Answer

1. Add whole numbers

2. Convert the fraction

3. Combine both parts

1. Add whole numbers

2. Convert the fraction

3. Combine both parts

What is a programmer’s life like?

How much do web developers earn? What is their salary?

Do the international students get a job offer in Australia ...

Admin