Discussion
Home ‣ Aptitude ‣ Problems on H.C.F and L.C.M Comments
- Question
- 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
- Correct Answer
- 3/7
Explanation3/7
- 1. L. C . M of 2/7, 3/14 and 5/ 3 is?
Options- A. 45
- B. 35
- C. 30
- D. 25 Discuss
- 2. 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
- 3. 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
- 4. The largest number , which exactly divides 210, 315, 147 and 168 is?
Options- A. 3
- B. 7
- C. 21
- D. 4410 Discuss
- 5. H.C.F. of 1485 and 4356 is?
Options- A. 189
- B. 89
- C. 99
- D. 83 Discuss
- 6. 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
- 7. The smallest number, which when diminished by 3, is divisible by 21, 28, 36 and 45 is?
Options- A. 420
- B. 1257
- C. 1260
- D. 1263 Discuss
- 8. The number of prime factors in 2 222 x 3 333 x 5 555 is?
Options- A. 3
- B. 1107
- C. 1110
- D. 1272 Discuss
- 9. The H.C.F and L.C.M of two number are 44 and 264 respectively. If the first number is divided by 2, the quotient is 44. The other number is?
Options- A. 33
- B. 66
- C. 132
- D. 264 Discuss
- 10. The LCM of two number is 48. The number are in the ratio of 2:3. Find sum of the numbers.
Options- A. 28
- B. 32
- C. 40
- D. 64 Discuss
Problems on H.C.F and L.C.M
Search Results
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
Correct Answer: 12, 24, 36
Explanation:
Straight forward answer 12, 24, 36
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.
Correct Answer: 21
Explanation:
The largest number is the H.C.F. of 210, 315, 147, and 168, which is 21.
Correct Answer: 99
Explanation:
H.C.F of 1485 and 4356 is 99
Correct Answer: 7/9, 5/7, 3/5
Explanation:
7/9, 5/7, 3/5
Correct Answer: 1263
Explanation:
Required number = (L . C . M of 21, 28, 36, 45 ) + 3
= (1260 + 3 )
= 1263
Correct Answer: 1110
Explanation:
The number of prime factors in the given product
= (222 + 333 + 555)
= 1110.
Correct Answer: 132
Explanation:
First number = 2 x 44 = 88
Second number = (LCM x HCF ) / First number
? Second number = 44 x 264 / 88 = 132.
Correct Answer: 40
Explanation:
Let the numbers be 2x and 3x.
So, their LCM = 6x
However, the LCM is given as 48
? 6x = 48
? x=8
So, the numbers are 16 and 24.
Hence, their sum is 40.
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