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Home ‣ Aptitude ‣ Problems on H.C.F and L.C.M Comments
- Question
- 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
- Correct Answer
- 132
ExplanationFirst number = 2 x 44 = 88
Second number = (LCM x HCF ) / First number
? Second number = 44 x 264 / 88 = 132. - 1. 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
- 2. 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
- 3. 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
- 4. 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
- 5. L. C . M of 2/7, 3/14 and 5/ 3 is?
Options- A. 45
- B. 35
- C. 30
- D. 25 Discuss
- 6. 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
- 7. Find the greatest possible length which can be used to measure 4 m 3 cm, 4 m 34 cm and 4 m 65 cm exactly.
Options- A. 31 cm
- B. 29 cm
- C. 28 cm
- D. 32 cm Discuss
- 8. Find the least number which when divided by 12, 15, 20 and 24 leaves the same remainder 2 in each case?
Options- A. 122
- B. 120
- C. 124
- D. 126 Discuss
- 9. If there number are 2a, 5a, and 7a, what will be their LCM?
Options- A. 70a
- B. 65a
- C. 75a
- D. 70a3 Discuss
- 10. What will be the HCF of ( 2 x 3 x 7 x 9 ), ( 2 x 3 x 9 x 11 ) and ( 2 x 3 x 4 x 5 )?
Options- A. 2 x 3 x 7
- B. 2 x 3 x 9
- C. 2 x 3
- D. 2 x 7 x 9 x 11 Discuss
Problems on H.C.F and L.C.M
Search Results
Correct Answer: 1110
Explanation:
The number of prime factors in the given product
= (222 + 333 + 555)
= 1110.
Correct Answer: 1263
Explanation:
Required number = (L . C . M of 21, 28, 36, 45 ) + 3
= (1260 + 3 )
= 1263
Correct Answer: 7/9, 5/7, 3/5
Explanation:
7/9, 5/7, 3/5
Correct Answer: 3/7
Explanation:
3/7
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: 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.
Correct Answer: 31 cm
Explanation:
Required measure = HCF of 403, 434 and 465 = 31 cm
Correct Answer: 122
Explanation:
Required number = LCM of (12, 15, 20, 24) + 2
= 120 + 2 = 122
Correct Answer: 70a
Explanation:
Required LCM = a x 2 x 5 x 7 = 70a
Correct Answer: 2 x 3
Explanation:
Given factors
2 x 3 x 7 x 9; 2 x 3 x 9 x 11; 2 x 3 x 4 x 5
? Required HCF = Product of common prime factors having least powers = 2 x 3
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