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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 Name: Mathematics

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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. The smallest among $\sqrt{\frac{1}{2}}, \sqrt{\frac{1}{3}}, \sqrt{\frac{1}{4}} a n d \sqrt{\frac{2}{3}}$ is
Q1. The smallest among $\sqrt{\frac{1}{2}}, \sqrt{\frac{1}{3}}, \sqrt{\frac{1}{4}} a n d \sqrt{\frac{2}{3}}$ is

(A)

\sqrt{\frac{1}{2}}

(A)

\sqrt{\frac{1}{2}}

(B)

\sqrt{\frac{1}{3}}

(B)

\sqrt{\frac{1}{3}}

(C)

\sqrt{\frac{1}{4}}

(C)

\sqrt{\frac{1}{4}}

(D)

\sqrt{\frac{2}{3}}

(D)

\sqrt{\frac{2}{3}}

Answer: (C)

\sqrt{\frac{1}{4}}

Answer: (C)

\sqrt{\frac{1}{4}}

\sqrt{\frac{1}{4}}

\sqrt{\frac{1}{4}}

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2024-10-23

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Q2. 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 :
Q2. 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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Q3. In a school with 10 teachers, one retires and immediately a new teacher of age 25 years joins. As a result, the average age of the teacher reduces by 3. The age of the retired teacher is
Q3. In a school with 10 teachers, one retires and immediately a new teacher of age 25 years joins. As a result, the average age of the teacher reduces by 3. The age of the retired teacher is

(A) 55 years
(A) 55 years

(B) 65 years
(B) 65 years

(D) 60 years
(D) 60 years

Answer: (A) 55 years
Answer: (A) 55 years

25 years + (3*10) years = 55 years

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2024-04-19

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Q4. A ladder of length 13 m is leaning against a vertical wall with the upper end at the height of 5 m. The horizontal distance between the foot of the wall and the lower end of the ladder is
Q4. A ladder of length 13 m is leaning against a vertical wall with the upper end at the height of 5 m. The horizontal distance between the foot of the wall and the lower end of the ladder is

(A) 9m
(A) 9m

(B) 5m
(B) 5m

(D) 12m
(D) 12m

Answer: (D) 12m
Answer: (D) 12m

5² + X² = 13² => 25 + X² = 169 => X² = 196 - 25 => X² = 144 => X = 12

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2024-10-23

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Q5. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is
Q5. 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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Q6. A 100 metre long train moving in a uniform speed of 20 m/sec crosses a bridge of length 1 km. The time taken by the train to cross the bridge is
Q6. A 100 metre long train moving in a uniform speed of 20 m/sec crosses a bridge of length 1 km. The time taken by the train to cross the bridge is

(A) 45 seconds
(A) 45 seconds

(B) 50 seconds
(B) 50 seconds

(D) 60 seconds
(D) 60 seconds

Answer: (C) 55 seconds
Answer: (C) 55 seconds

(1000+100)m / (20m/s) = 55 seconds

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2024-04-20

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Q7. 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
Q7. 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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Q8. 45% of a number is same as 30% of another number. The ratio of the first number to the second number is :
Q8. 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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Q9. Two trains of 200 m and 100 m long are running parallel at the rate of 20 m/sec. and 22 m/sec. respectively. How much time will they take to cross each other, if the trains are running along the same direction?
Q9. Two trains of 200 m and 100 m long are running parallel at the rate of 20 m/sec. and 22 m/sec. respectively. How much time will they take to cross each other, if the trains are running along the same direction?

(A) 120 sec
(A) 120 sec

(B) 100 sec
(B) 100 sec

(D) 50 sec
(D) 50 sec

Answer: (D) 50 sec
Answer: (D) 50 sec

The difference of speed = 22m/s - 20m/s = 2m/s As the train with speed 22m/s will cross the other, hence this train have to go the smallest length of the trains distance ahead of the other to cross completely. Hence This train will be ahead of 100m with a speed of 2m/s. Hence The time to cross each other will take = 100m / (2m/s) = 50 sec

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2024-05-15

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Q10. The difference between the smallest 3-digit even natural number and the largest 2-digit even natural number is
Q10. The difference between the smallest 3-digit even natural number and the largest 2-digit even natural number is

(A) 1
(A) 1

(B) 2
(B) 2

(D) 4
(D) 4

Answer: (B) 2
Answer: (B) 2

100 - 98 = 2

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2024-10-23

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Q11. If $\frac{X}{3} = \frac{Y}{4} = \frac{Z}{7}, t h e n \frac{X + Y + Z}{Z}$ is equal to
Q11. If $\frac{X}{3} = \frac{Y}{4} = \frac{Z}{7}, t h e n \frac{X + Y + Z}{Z}$ is equal to

(A) 2
(A) 2

(B) 3
(B) 3

(D) 5
(D) 5

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

\frac{X}{3} = \frac{Y}{4} = \frac{Z}{7}

Hence, X:Y:Z = 3:4:7

\frac{X + Y + Z}{Z}

\frac{3 + 4 + 7}{7}

\frac{14}{7}

= 2

\frac{X}{3} = \frac{Y}{4} = \frac{Z}{7}

Hence, X:Y:Z = 3:4:7

\frac{X + Y + Z}{Z}

\frac{3 + 4 + 7}{7}

\frac{14}{7}

= 2

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2024-10-23

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Q12. 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
Q12. 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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2024-03-03

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Q13. If 20% of a is b, then b% of 20 is the same as :
Q13. If 20% of a is b, then b% of 20 is the same as :

(A) 4% of a
(A) 4% of a

(B) 8% of a
(B) 8% of a

(D) 10% of a
(D) 10% of a

Answer: (A) 4% of a
Answer: (A) 4% of a

20% of a is b Hence b = 20% of a = 20a/100 b% of 20 = 20% of b = (20/100) * 20a/100 = (20*20*a)/(100*100) = 4a/100 = (4/100) * a = 4% of a

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2024-05-15

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Q14. Three fourth of a number is more than two third of the number by 5. Then the number is
Q14. 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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2024-03-03

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Q15. At what speed should a car travel on a highway to reach a destination 12 km away in 15 minutes?
Q15. At what speed should a car travel on a highway to reach a destination 12 km away in 15 minutes?

(A) 64 kmph
(A) 64 kmph

(B) 84 kmph
(B) 84 kmph

(D) 36 kmph
(D) 36 kmph

Answer: (C) 48 kmph
Answer: (C) 48 kmph

12 ---- x 60 = 48 KMPH 15

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2024-10-23

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Q16. When the numerator of a fraction is multiplied by 4 and the denominator by 9, the fraction reverses. The fraction is
Q16. When the numerator of a fraction is multiplied by 4 and the denominator by 9, the fraction reverses. The fraction is

(A)

\frac{4}{5}

(A)

\frac{4}{5}

(B)

\frac{2}{3}

(B)

\frac{2}{3}

(C)

\frac{5}{4}

(C)

\frac{5}{4}

(D)

\frac{3}{2}

(D)

\frac{3}{2}

Answer: (D)

\frac{3}{2}

Answer: (D)

\frac{3}{2}

\frac{3}{2}

\frac{3}{2} \times \frac{4}{9}

\frac{12}{18}

\frac{2}{3}

\frac{3}{2}

\frac{3}{2} \times \frac{4}{9}

\frac{12}{18}

\frac{2}{3}

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2024-10-23

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Q17. A number is as much greater than 31 as is less 55. Then the number is
Q17. A number is as much greater than 31 as is less 55. Then the number is

(A) 39
(A) 39

(B) 32
(B) 32

(D) 47
(D) 47

Answer: (C) 43
Answer: (C) 43

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2024-03-03

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Q18. Three numbers are in the ratio 3:4:6 and their product is 1944. The largest of the numbers is.
Q18. Three numbers are in the ratio 3:4:6 and their product is 1944. The largest of the numbers is.

(A) 21
(A) 21

(B) 12
(B) 12

(D) 9
(D) 9

Answer: (C) 18
Answer: (C) 18

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Q19. A number is as much greater than 22 as is less than 72. Then the number is
Q19. A number is as much greater than 22 as is less than 72. Then the number is

(A) 44
(A) 44

(B) 50
(B) 50

(D) 47
(D) 47

Answer: (D) 47
Answer: (D) 47

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Q20. Select the number pair in which the two numbers are related in the same way as 35 : 6.
Q20. 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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Mathematics (Mathematics) | MCQ Quizzes | Category (T/R/M)

Q1. The smallest among 12, 13, 14 and 23 isQ1. The smallest among 12, 13, 14 and 23 is

Q5. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers isQ5. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is

Q6. A 100 metre long train moving in a uniform speed of 20 m/sec crosses a bridge of length 1 km. The time taken by the train to cross the bridge isQ6. A 100 metre long train moving in a uniform speed of 20 m/sec crosses a bridge of length 1 km. The time taken by the train to cross the bridge is

Q7. Two numbers are in the ratio of 2 : 3 and the product of their LCM and HCF is 96. The sum of the numbers isQ7. 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

Q8. 45% of a number is same as 30% of another number. The ratio of the first number to the second number is :Q8. 45% of a number is same as 30% of another number. The ratio of the first number to the second number is :

Q10. The difference between the smallest 3-digit even natural number and the largest 2-digit even natural number isQ10. The difference between the smallest 3-digit even natural number and the largest 2-digit even natural number is

Q11. If X3=Y4=Z7, then X+Y+ZZ is equal toQ11. If X3=Y4=Z7, then X+Y+ZZ is equal to

Q12. 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 isQ12. 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

Q13. If 20% of a is b, then b% of 20 is the same as :Q13. If 20% of a is b, then b% of 20 is the same as :

Q14. Three fourth of a number is more than two third of the number by 5. Then the number isQ14. Three fourth of a number is more than two third of the number by 5. Then the number is

Q15. At what speed should a car travel on a highway to reach a destination 12 km away in 15 minutes?Q15. At what speed should a car travel on a highway to reach a destination 12 km away in 15 minutes?

Q16. When the numerator of a fraction is multiplied by 4 and the denominator by 9, the fraction reverses. The fraction isQ16. When the numerator of a fraction is multiplied by 4 and the denominator by 9, the fraction reverses. The fraction is

Q17. A number is as much greater than 31 as is less 55. Then the number isQ17. A number is as much greater than 31 as is less 55. Then the number is

Q18. Three numbers are in the ratio 3:4:6 and their product is 1944. The largest of the numbers is.Q18. Three numbers are in the ratio 3:4:6 and their product is 1944. The largest of the numbers is.

Q19. A number is as much greater than 22 as is less than 72. Then the number isQ19. A number is as much greater than 22 as is less than 72. Then the number is

Q20. Select the number pair in which the two numbers are related in the same way as 35 : 6.Q20. Select the number pair in which the two numbers are related in the same way as 35 : 6.

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Related Categories

1. Mathematics (Mathematics)

2. Calculation Not Involved (Calculation is Not Required)

3. Calculation Involved (Calculation is Required)

4. General Mathematics (General Mathematics)

Q1. The smallest among $\sqrt{\frac{1}{2}}, \sqrt{\frac{1}{3}}, \sqrt{\frac{1}{4}} a n d \sqrt{\frac{2}{3}}$ is
Q1. The smallest among $\sqrt{\frac{1}{2}}, \sqrt{\frac{1}{3}}, \sqrt{\frac{1}{4}} a n d \sqrt{\frac{2}{3}}$ is

Q5. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is
Q5. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is

Q6. A 100 metre long train moving in a uniform speed of 20 m/sec crosses a bridge of length 1 km. The time taken by the train to cross the bridge is
Q6. A 100 metre long train moving in a uniform speed of 20 m/sec crosses a bridge of length 1 km. The time taken by the train to cross the bridge is

Q7. 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
Q7. 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

Q8. 45% of a number is same as 30% of another number. The ratio of the first number to the second number is :
Q8. 45% of a number is same as 30% of another number. The ratio of the first number to the second number is :

Q10. The difference between the smallest 3-digit even natural number and the largest 2-digit even natural number is
Q10. The difference between the smallest 3-digit even natural number and the largest 2-digit even natural number is

Q11. If $\frac{X}{3} = \frac{Y}{4} = \frac{Z}{7}, t h e n \frac{X + Y + Z}{Z}$ is equal to
Q11. If $\frac{X}{3} = \frac{Y}{4} = \frac{Z}{7}, t h e n \frac{X + Y + Z}{Z}$ is equal to

Q12. 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
Q12. 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

Q13. If 20% of a is b, then b% of 20 is the same as :
Q13. If 20% of a is b, then b% of 20 is the same as :

Q14. Three fourth of a number is more than two third of the number by 5. Then the number is
Q14. Three fourth of a number is more than two third of the number by 5. Then the number is

Q15. At what speed should a car travel on a highway to reach a destination 12 km away in 15 minutes?
Q15. At what speed should a car travel on a highway to reach a destination 12 km away in 15 minutes?

Q16. When the numerator of a fraction is multiplied by 4 and the denominator by 9, the fraction reverses. The fraction is
Q16. When the numerator of a fraction is multiplied by 4 and the denominator by 9, the fraction reverses. The fraction is

Q17. A number is as much greater than 31 as is less 55. Then the number is
Q17. A number is as much greater than 31 as is less 55. Then the number is

Q18. Three numbers are in the ratio 3:4:6 and their product is 1944. The largest of the numbers is.
Q18. Three numbers are in the ratio 3:4:6 and their product is 1944. The largest of the numbers is.

Q19. A number is as much greater than 22 as is less than 72. Then the number is
Q19. A number is as much greater than 22 as is less than 72. Then the number is

Q20. Select the number pair in which the two numbers are related in the same way as 35 : 6.
Q20. Select the number pair in which the two numbers are related in the same way as 35 : 6.