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Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the

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Category Description: Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebraalgebra, geometry, and analysis, respectively.

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Q1. Find the value of $\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}$
Q1. Find the value of $\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}$

(A)

\frac{- 5}{9}

(A)

\frac{- 5}{9}

(B)

\frac{- 7}{12}

(B)

\frac{- 7}{12}

(C)

\frac{- 20}{27}

(C)

\frac{- 20}{27}

(D)

\frac{- 11}{36}

(D)

\frac{- 11}{36}

Answer: (D)

\frac{- 11}{36}

Answer: (D)

\frac{- 11}{36}

\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}

\sqrt{\frac{15 * 15}{27 * 27}} - \sqrt{\frac{5 * 5}{12 * 12}} - \sqrt{\frac{4 * 4}{9 * 9}}

\frac{15}{27} - \frac{5}{12} - \frac{4}{9}

\frac{60 - 45 - 48}{108}

\frac{- 33}{108}

\frac{- 11}{36}

\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}

\sqrt{\frac{15 * 15}{27 * 27}} - \sqrt{\frac{5 * 5}{12 * 12}} - \sqrt{\frac{4 * 4}{9 * 9}}

\frac{15}{27} - \frac{5}{12} - \frac{4}{9}

\frac{60 - 45 - 48}{108}

\frac{- 33}{108}

\frac{- 11}{36}

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Q2. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is
Q2. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is

(A) 2 : 5
(A) 2 : 5

(B) 3 : 5
(B) 3 : 5

(D) 7 : 5
(D) 7 : 5

Answer: (C) 4 : 5
Answer: (C) 4 : 5

4 : 5

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2024-04-13

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Q3. The value of $\sqrt{0.04} + \sqrt{1.44} + \sqrt{1.69} + \sqrt{0.0009}$ is :
Q3. The value of $\sqrt{0.04} + \sqrt{1.44} + \sqrt{1.69} + \sqrt{0.0009}$ is :

(A) 1.73
(A) 1.73

(B) 2.03
(B) 2.03

(D) 1.03
(D) 1.03

Answer: (C) 2.73
Answer: (C) 2.73

\sqrt{0.04} + \sqrt{1.44} + \sqrt{1.69} + \sqrt{0.0009}

\sqrt{0.02*0.02} + \sqrt{1.2*1.2} + \sqrt{1.3*1.3} + \sqrt{0.03*0.03}

= 0.2 + 1.2 + 1.3 + 0.03 = 2.73

\sqrt{0.04} + \sqrt{1.44} + \sqrt{1.69} + \sqrt{0.0009}

\sqrt{0.02*0.02} + \sqrt{1.2*1.2} + \sqrt{1.3*1.3} + \sqrt{0.03*0.03}

= 0.2 + 1.2 + 1.3 + 0.03 = 2.73

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2024-05-09

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Q4. Two numbers are in the ratio of 2 : 3 and the product of their LCM and HCF is 96. The sum of the numbers is
Q4. Two numbers are in the ratio of 2 : 3 and the product of their LCM and HCF is 96. The sum of the numbers is

(A) 8
(A) 8

(B) 12
(B) 12

(D) 36
(D) 36

Answer: (C) 20
Answer: (C) 20

=> 2x * 3x = 96 => 6x² = 96 => x² = 96/6 => x² = 16 => x = 4 2x + 3x = 5x = 5 * 4 = 20

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2024-05-09

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Q5. A 20 m long ladder is leaning on a vertical wall. It makes an angle of 30° with the ground. The height of the point the ladder touches wall is
Q5. A 20 m long ladder is leaning on a vertical wall. It makes an angle of 30° with the ground. The height of the point the ladder touches wall is

(A) 10 m
(A) 10 m

(B) 17.32 m
(B) 17.32 m

(D) 13 m
(D) 13 m

Answer: (A) 10 m
Answer: (A) 10 m

10 m

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2024-04-19

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Q6. What is the sum of the interior angles of a triangle?
Q6. What is the sum of the interior angles of a triangle?

(A) 180 degrees
(A) 180 degrees

(B) 270 degrees
(B) 270 degrees

(D) 450 degrees
(D) 450 degrees

Answer: (A) 180 degrees
Answer: (A) 180 degrees

The sum of the interior angles of a triangle is always 180 degrees, a fundamental principle in geometry.

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2024-07-02

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Q7. Select the number pair in which the two numbers are related in the same way as 35 : 6.
Q7. Select the number pair in which the two numbers are related in the same way as 35 : 6.

(A) 85 : 9
(A) 85 : 9

(B) 64 : 8
(B) 64 : 8

(D) 120 : 11
(D) 120 : 11

Answer: (D) 120 : 11
Answer: (D) 120 : 11

6²-1 : 6 = 35 : 6 11²-1 : 11 = 120 : 11

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2024-05-15

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Q8. A man is 3 years older than his wife and four times as old as his son. If the son becomes 15 years old after 3 years, the present age of his wife is :
Q8. A man is 3 years older than his wife and four times as old as his son. If the son becomes 15 years old after 3 years, the present age of his wife is :

(A) 60 years
(A) 60 years

(B) 51 years
(B) 51 years

(D) 45 years
(D) 45 years

Answer: (D) 45 years
Answer: (D) 45 years

The son becomes 15 years old after 3 years. Hence son's present age = 15 years - 3 years = 12 years Man is four times as old as his son. Hence Man's present age = 12 years * 4 = 48 years Man is 3 years older than his wife. Hence present age of his wife = 48 years - 3 years = 45 years.

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Q9. The sum of two numbers is 15 and the sum of their squares is 113. The numbers are
Q9. The sum of two numbers is 15 and the sum of their squares is 113. The numbers are

(A) 4 and 10
(A) 4 and 10

(B) 6 and 9
(B) 6 and 9

(D) 7 and 8
(D) 7 and 8

Answer: (D) 7 and 8
Answer: (D) 7 and 8

7 and 8

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2024-03-03

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Q10. The price of an article is first decreased by 40% and then increased by 20%. The net change in the price will be :
Q10. The price of an article is first decreased by 40% and then increased by 20%. The net change in the price will be :

(A) 20%
(A) 20%

(B) 40%
(B) 40%

(D) 28%
(D) 28%

Answer: (D) 28%
Answer: (D) 28%

Net change (-40 + 20 +

\frac{(- 40) * 20}{100}

)% = (-20 +

\frac{- 800}{100}

)% = (-20 - 8)% = -28% = 28%

Net change (-40 + 20 +

\frac{(- 40) * 20}{100}

)% = (-20 +

\frac{- 800}{100}

)% = (-20 - 8)% = -28% = 28%

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2024-05-15

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Q11. Find the value of the following expression
Q11. Find the value of the following expression

48÷12+4×25÷5

48÷12+4×25÷5

(A) 15
(A) 15

(B) 24
(B) 24

(D) 25
(D) 25

Answer: (B) 24
Answer: (B) 24

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Q12. 45% of a number is same as 30% of another number. The ratio of the first number to the second number is :
Q12. 45% of a number is same as 30% of another number. The ratio of the first number to the second number is :

(A) 2 : 3
(A) 2 : 3

(B) 3 : 5
(B) 3 : 5

(D) 2 : 5
(D) 2 : 5

Answer: (A) 2 : 3
Answer: (A) 2 : 3

\frac{45}{100} * X = \frac{30}{100} * Y

\frac{X}{Y} = \frac{30 * 100}{100 * 45}

\frac{X}{Y} = \frac{2}{3}

= X:Y = 2:3

\frac{45}{100} * X = \frac{30}{100} * Y

\frac{X}{Y} = \frac{30 * 100}{100 * 45}

\frac{X}{Y} = \frac{2}{3}

= X:Y = 2:3

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2024-05-09

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Q13. Three fourth of a number is more than two third of the number by 5. Then the number is
Q13. Three fourth of a number is more than two third of the number by 5. Then the number is

(A) 72
(A) 72

(B) 60
(B) 60

(D) 48
(D) 48

Answer: (B) 60
Answer: (B) 60

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Q14. The sum of 5 consecutive odd numbers is found to be 95. The largest of the numbers is
Q14. The sum of 5 consecutive odd numbers is found to be 95. The largest of the numbers is

(A) 17
(A) 17

(B) 21
(B) 21

(D) 19
(D) 19

Answer: (C) 23
Answer: (C) 23

X + (X+2) + (X+4) + (X+6) + (X+8) = 95 => 5X + 20 = 95 => 5X = 95-20 => 5X = 75 => X = 15 Hence (X+8) = 15+8 = 23

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Q15. How many prime numbers exist, which are less than 40?
Q15. How many prime numbers exist, which are less than 40?

(A) 10
(A) 10

(B) 11
(B) 11

(D) 13
(D) 13

Answer: (C) 12
Answer: (C) 12

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Q16. ‘A’ starts his journey at 1:00 p.m. from a location P with a speed of 1 m/sec. ‘B’ starts his journey from the same location P and along the same direction at 1:10 p.m. with a speed of 2 m/sec. If ‘B’ meets ‘A’ at the location Q, then the distance PQ is :
Q16. ‘A’ starts his journey at 1:00 p.m. from a location P with a speed of 1 m/sec. ‘B’ starts his journey from the same location P and along the same direction at 1:10 p.m. with a speed of 2 m/sec. If ‘B’ meets ‘A’ at the location Q, then the distance PQ is :

(A) 1.5 km
(A) 1.5 km

(B) 1.75 km
(B) 1.75 km

(D) 1.25 km
(D) 1.25 km

Answer: (C) 1.2 km
Answer: (C) 1.2 km

A starts journey before B at a speed of 1 m/s. Hence A will be ahead of B (10*60)s * 1m/s = 600m Let A covers a distance of X after starting of B, Then X + 600m = 2X => 2X - X = 600m => X = 600m Hence B will cover a distance of 2X = 2 * 600m = 1200m = 1.2 km

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Q17. The 8th term of the sequence 2, 6, 18, 54, ...... is
Q17. The 8th term of the sequence 2, 6, 18, 54, ...... is

(A) 4370
(A) 4370

(B) 4374
(B) 4374

(D) 7434
(D) 7434

Answer: (B) 4374
Answer: (B) 4374

4374

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Q18. The sum of first 6 prime numbers is
Q18. The sum of first 6 prime numbers is

(A) 40
(A) 40

(B) 43
(B) 43

(D) 42
(D) 42

Answer: (C) 41
Answer: (C) 41

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Q19. Three numbers are in the ratio 3:4:5. The sum of the largest and the smallest equals the sum of the third and 52. The smallest number is
Q19. Three numbers are in the ratio 3:4:5. The sum of the largest and the smallest equals the sum of the third and 52. The smallest number is

(A) 48
(A) 48

(B) 36
(B) 36

(D) 30
(D) 30

Answer: (C) 39
Answer: (C) 39

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Q20. Find the median of the data set.
Q20. Find the median of the data set.

1, 2, 4, 1, 5, 12, 7, 8, 5, 1, 16, 17, 12

1, 2, 4, 1, 5, 12, 7, 8, 5, 1, 16, 17, 12

(A) 8
(A) 8

(B) 7
(B) 7

(D) 4
(D) 4

Answer: (C) 5
Answer: (C) 5

1, 2, 4, 1, 5, 12, 7, 8, 5, 1, 16, 17, 12 = 1, 1, 1, 2, 4, 5, 5, 7, 8, 12, 12, 16, 17 Total numbers of values N = 13 Hence median value = (N + 1)/2 = (13 + 1)/2 = 7th 7th Number = 5

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2024-05-09

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Mathematics (Mathematics) | MCQ Quizzes | Category (R/R/A)

Q1. Find the value of 225729-25144-1681Q1. Find the value of 225729-25144-1681

Q2. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers isQ2. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is

Q3. The value of 0.04 + 1.44 + 1.69 + 0.0009 is :Q3. The value of 0.04 + 1.44 + 1.69 + 0.0009 is :

Q4. Two numbers are in the ratio of 2 : 3 and the product of their LCM and HCF is 96. The sum of the numbers isQ4. Two numbers are in the ratio of 2 : 3 and the product of their LCM and HCF is 96. The sum of the numbers is

Q5. A 20 m long ladder is leaning on a vertical wall. It makes an angle of 30° with the ground. The height of the point the ladder touches wall isQ5. A 20 m long ladder is leaning on a vertical wall. It makes an angle of 30° with the ground. The height of the point the ladder touches wall is

Q6. What is the sum of the interior angles of a triangle?Q6. What is the sum of the interior angles of a triangle?

Q7. Select the number pair in which the two numbers are related in the same way as 35 : 6.Q7. Select the number pair in which the two numbers are related in the same way as 35 : 6.

Q9. The sum of two numbers is 15 and the sum of their squares is 113. The numbers areQ9. The sum of two numbers is 15 and the sum of their squares is 113. The numbers are

Q10. The price of an article is first decreased by 40% and then increased by 20%. The net change in the price will be :Q10. The price of an article is first decreased by 40% and then increased by 20%. The net change in the price will be :

Q11. Find the value of the following expressionQ11. Find the value of the following expression

Q12. 45% of a number is same as 30% of another number. The ratio of the first number to the second number is :Q12. 45% of a number is same as 30% of another number. The ratio of the first number to the second number is :

Q13. Three fourth of a number is more than two third of the number by 5. Then the number isQ13. Three fourth of a number is more than two third of the number by 5. Then the number is

Q14. The sum of 5 consecutive odd numbers is found to be 95. The largest of the numbers isQ14. The sum of 5 consecutive odd numbers is found to be 95. The largest of the numbers is

Q15. How many prime numbers exist, which are less than 40?Q15. How many prime numbers exist, which are less than 40?

Q17. The 8th term of the sequence 2, 6, 18, 54, ...... isQ17. The 8th term of the sequence 2, 6, 18, 54, ...... is

Q18. The sum of first 6 prime numbers isQ18. The sum of first 6 prime numbers is

Q19. Three numbers are in the ratio 3:4:5. The sum of the largest and the smallest equals the sum of the third and 52. The smallest number isQ19. Three numbers are in the ratio 3:4:5. The sum of the largest and the smallest equals the sum of the third and 52. The smallest number is

Q20. Find the median of the data set.Q20. Find the median of the data set.

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Related Categories

1. General Mathematics (General Mathematics)

2. Mathematics (Mathematics)

3. Calculation Not Involved (Calculation is Not Required)

4. Calculation Involved (Calculation is Required)

Q1. Find the value of $\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}$
Q1. Find the value of $\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}} - \sqrt{\frac{16}{81}}$

Q2. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is
Q2. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is

Q3. The value of $\sqrt{0.04} + \sqrt{1.44} + \sqrt{1.69} + \sqrt{0.0009}$ is :
Q3. The value of $\sqrt{0.04} + \sqrt{1.44} + \sqrt{1.69} + \sqrt{0.0009}$ is :

Q4. Two numbers are in the ratio of 2 : 3 and the product of their LCM and HCF is 96. The sum of the numbers is
Q4. Two numbers are in the ratio of 2 : 3 and the product of their LCM and HCF is 96. The sum of the numbers is

Q5. A 20 m long ladder is leaning on a vertical wall. It makes an angle of 30° with the ground. The height of the point the ladder touches wall is
Q5. A 20 m long ladder is leaning on a vertical wall. It makes an angle of 30° with the ground. The height of the point the ladder touches wall is

Q6. What is the sum of the interior angles of a triangle?
Q6. What is the sum of the interior angles of a triangle?

Q7. Select the number pair in which the two numbers are related in the same way as 35 : 6.
Q7. Select the number pair in which the two numbers are related in the same way as 35 : 6.

Q9. The sum of two numbers is 15 and the sum of their squares is 113. The numbers are
Q9. The sum of two numbers is 15 and the sum of their squares is 113. The numbers are

Q10. The price of an article is first decreased by 40% and then increased by 20%. The net change in the price will be :
Q10. The price of an article is first decreased by 40% and then increased by 20%. The net change in the price will be :

Q11. Find the value of the following expression
Q11. Find the value of the following expression

Q12. 45% of a number is same as 30% of another number. The ratio of the first number to the second number is :
Q12. 45% of a number is same as 30% of another number. The ratio of the first number to the second number is :

Q13. Three fourth of a number is more than two third of the number by 5. Then the number is
Q13. Three fourth of a number is more than two third of the number by 5. Then the number is

Q14. The sum of 5 consecutive odd numbers is found to be 95. The largest of the numbers is
Q14. The sum of 5 consecutive odd numbers is found to be 95. The largest of the numbers is

Q15. How many prime numbers exist, which are less than 40?
Q15. How many prime numbers exist, which are less than 40?

Q17. The 8th term of the sequence 2, 6, 18, 54, ...... is
Q17. The 8th term of the sequence 2, 6, 18, 54, ...... is

Q18. The sum of first 6 prime numbers is
Q18. The sum of first 6 prime numbers is

Q19. Three numbers are in the ratio 3:4:5. The sum of the largest and the smallest equals the sum of the third and 52. The smallest number is
Q19. Three numbers are in the ratio 3:4:5. The sum of the largest and the smallest equals the sum of the third and 52. The smallest number is

Q20. Find the median of the data set.
Q20. Find the median of the data set.