Problems on HCF and LCM aptitude questions for IOB Bank Exams. Solve these simple aptitude questions related to HCF and LCM for clearinf bank exams.

1. What is the HCF of 1/3, 2/3 and 1/4 ?

A.2/3

B.1/3

C.1/4

D.1/12

2. What is the least multiple of 7 which leaves a remainder of 4 when divided by 6, 9, 15 and 18 ?

A. 364 B. 350

C. 343 D. 371

3. A boy divided the numbers 7654, 8506 and 9997 by a certain largest number and he gets same remainder in each case. What is the common remainder?

A. 156 B. 199

C. 211 D. 231

4. What is the greatest possible length which can be used to measure exactly the lengths 8 m, 4 m 20 cm and 12 m 20 cm?

A. 10 cm B. 30 cm

C. 25 cm D. 20 cm

5. 504 can be expressed as a product of primes as

A. 2 × 2 × 3 × 3 × 7 × 7 B. 2 × 3 × 3 × 3 × 7 × 7

C. 2 × 3 × 3 × 3 × 3 × 7 D. 2 × 2 × 2 × 3 × 3 × 7

6. The product of two numbers is 2028 and their HCF is 13. What are the number of such pairs?

A. 4 B. 3

C. 2 D. 1

7. Which of the following integers has the most number of divisors?

A. 101 B. 99

C. 182 D. 176

8. Two numbers are in the ratio 2 : 3. If their L.C.M. is 48. what is sum of the numbers?

A. 28 B. 40

C. 64 D. 42

9. 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 ?

A. 36 minutes 22 seconds B. 46 minutes 22 seconds

C. 36 minutes 12 seconds D. 46 minutes 12 seconds

10. What is the greatest number which divides 24, 28 and 34 and leaves the same remainder in each case?

A. 1 B. 2

C. 3 D. 4

1. D 2. A 3. B 4. D 5. D

6. C 7. D 8. B 9. D 10. B

1. What is the HCF of 1/3, 2/3 and 1/4 ?

A.2/3

B.1/3

C.1/4

D.1/12

2. What is the least multiple of 7 which leaves a remainder of 4 when divided by 6, 9, 15 and 18 ?

A. 364 B. 350

C. 343 D. 371

3. A boy divided the numbers 7654, 8506 and 9997 by a certain largest number and he gets same remainder in each case. What is the common remainder?

A. 156 B. 199

C. 211 D. 231

4. What is the greatest possible length which can be used to measure exactly the lengths 8 m, 4 m 20 cm and 12 m 20 cm?

A. 10 cm B. 30 cm

C. 25 cm D. 20 cm

5. 504 can be expressed as a product of primes as

A. 2 × 2 × 3 × 3 × 7 × 7 B. 2 × 3 × 3 × 3 × 7 × 7

C. 2 × 3 × 3 × 3 × 3 × 7 D. 2 × 2 × 2 × 3 × 3 × 7

6. The product of two numbers is 2028 and their HCF is 13. What are the number of such pairs?

A. 4 B. 3

C. 2 D. 1

7. Which of the following integers has the most number of divisors?

A. 101 B. 99

C. 182 D. 176

8. Two numbers are in the ratio 2 : 3. If their L.C.M. is 48. what is sum of the numbers?

A. 28 B. 40

C. 64 D. 42

9. 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 ?

A. 36 minutes 22 seconds B. 46 minutes 22 seconds

C. 36 minutes 12 seconds D. 46 minutes 12 seconds

10. What is the greatest number which divides 24, 28 and 34 and leaves the same remainder in each case?

A. 1 B. 2

C. 3 D. 4

**Answers:**1. D 2. A 3. B 4. D 5. D

6. C 7. D 8. B 9. D 10. B

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