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- Problems on H.C.F and L.C.M
26.
The L.C.M. of 22, 54, 108, 135 and 198 is:
- A.330
- C.5940
- B.1980
- D.11880
- Answer & Explanation
- Report
Answer : [C]
Explanation :
Explanation :
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| L.C.M. = 2 x 3 x 3 x 3 x 11 x 2 x 5 = 5940 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
27.
| The smallest fraction, which each of | 6 | , | 5 | , | 10 | will divide exactly, is : | |
| 7 | 14 | 21 |
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A.
30 7 -
C.
60 147
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B.
30 98 -
D.
50 294
- Answer & Explanation
- Report
Answer : [A]
Explanation :
Explanation :
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28.
The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above conditions is:
- A.4
- C.8
- B.6
- D.12
- Answer & Explanation
- Report
Answer : [A]
Explanation :
Explanation :
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| Now, co-primes with sum 16 are (1, 15), (3, 13), (5, 11) and (7, 9). | |||
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| The number of such pairs is 4 | |||
29.
The L.C.M. of three different numbers is 120. Which of the following cannot be their H.C.F.?
- A.8
- C.24
- B.12
- D.35
- Answer & Explanation
- Report
Answer : [D]
Explanation :
Explanation :
| Since H.C.F. is always a factor of L.C.M., |
| we cannot have three numbers with H.C.F. 35 and L.C.M. 120 |
30.
H.C.F. of 4 x 27 x 3125, 8 x 9 x 25 x 7 & 16 x 81 x 5 x 11 x 49 is:
- A.180
- C.540
- B.360
- D.1260
- Answer & Explanation
- Report
Answer : [A]
Explanation :
Explanation :
| 4 x 27 x 3125 = 22 x 33 x 55; 8 x 9 x 25 x 7 = 23 x 32 x 52 x 7 | ||||||
| 16 x 81 x 5 x 11 x 49 = 24 x 34 x 5 x 72 x 11 | ||||||
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