Problems on H.C.F and L.C.M
- 1. H.C.F . of 2 3, 3 2 and 15 is?
Options- A. 23
- B. 32
- C. 1
- D. 360 Discuss
Correct Answer: 1
Explanation:
Clearly, 1 is the highest common factor of 23, 32, and 15.
- 2. H.C.F of 42, 63 and 140 is?
Options- A. 14
- B. 9
- C. 21
- D. 7 Discuss
Correct Answer: 7
Explanation:
H.C.F. of 42 and 63 is 21.
? H.C.F of 21 and 140 is 7
? H.C.F. of 42, 63 and 140 is 7
- 3. H.C.F of 1/2, 2/3, 3/4, 4/5 is?
Options- A. 1
- B. 12
- C. 4/5
- D. 1/60 Discuss
Correct Answer: 1/60
Explanation:
H.C.F = ( H.C.F of 1, 2, 3, 4) / (L.C.M of 2, 3, 4, 5)
= 1/60
- 4. H.C.F. of 1485 and 4356 is?
Options- A. 189
- B. 89
- C. 99
- D. 83 Discuss
Correct Answer: 99
Explanation:
H.C.F of 1485 and 4356 is 99
- 5. The largest number , which exactly divides 210, 315, 147 and 168 is?
Options- A. 3
- B. 7
- C. 21
- D. 4410 Discuss
Correct Answer: 21
Explanation:
The largest number is the H.C.F. of 210, 315, 147, and 168, which is 21.
- 6. The H.C.F of two numbers is 12 and their difference is also 12. The number are?
Options- A. 66, 78
- B. 70, 82
- C. 94, 106
- D. 84, 96 Discuss
Correct Answer: 84, 96
Explanation:
The difference of requisite number must be 12 and each one must be divisible by 12, so the numbers are 84, 96.
- 7. H.C.F of three numbers is 12. If they be in the ratio 1: 2: 3, the numbers are?
Options- A. 12, 24, 36
- B. 10, 20, 30
- C. 5, 10, 15
- D. 4, 8, 12 Discuss
Correct Answer: 12, 24, 36
Explanation:
Straight forward answer 12, 24, 36
- 8. L. C . M of 2/7, 3/14 and 5/ 3 is?
Options- A. 45
- B. 35
- C. 30
- D. 25 Discuss
Correct Answer: 30
Explanation:
L. C . M of 2/7, 3/14 and 5/ 3 = ( LCM of 2, 3 and 5) / ( HCF of 7, 14 and 3)
= 30
- 9. Which of the fractions 1/2, 3/7, 3/5, 4/9 is the smallest?
Options- A. 4/9
- B. 3/5
- C. 3/7
- D. 1/2 Discuss
Correct Answer: 3/7
Explanation:
3/7
- 10. Which of the following is in descending order?
Options- A. 3/5, 5/7, 7/9
- B. 7/9, 5/7, 3/5
- C. 5/7, 7/9, 3/5
- D. 7/9, 3/5, 5/7 Discuss
Correct Answer: 7/9, 5/7, 3/5
Explanation:
7/9, 5/7, 3/5
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