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- Problems on H.C.F and L.C.M
21.
The H.C.F. of 1.75, 5.6 and 7 is:
- A.0.07
- C.3.5
- B.0.7
- D.0.35
- Answer & Explanation
- Report
Answer : [D]
Explanation :
Explanation :
| Given numbers with two decimal places are : 1.75, 5.60 and 7.00. Without decimal places, these numbers are : 175, 560 and 700, whose H.C.F. is 35. | |||
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22.
The H.C.F. of 22 x 33 x 55, 23 x 32 x 52 x 7 and 24 x 3 4 x 5 x 72 x 11 is :
- A.22 x 32 x 5
- C.24 x 34 x 55
- B.22 x 32 x 5 x 7 x 11
- D.24 x 34 x 5 5 x 7 x 11
- Answer & Explanation
- Report
Answer : [A]
Explanation :
Explanation :
| H.C.F. = Product of lowest powers of common factors = 22 x 32 x 5 |
23.
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 meet again at the starting point?
- A.26 minutes 18 seconds
- C.45 minutes
- B.42 minutes 36 seconds
- D.46 minutes 12 seconds
- Answer & Explanation
- Report
Answer : [D]
Explanation :
Explanation :
| L.C.M. of 252, 308 and 198 = 2772. |
| So, A, B and C will again meet at the starting point in 2772 see i.e., 46 min. 12 sec |
24.
| The L.C.M. of | 1 | , | 5 | , | 2 | , | 4 | is: | ||
| 3 | 6 | 9 | 27 |
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A.
1 54 -
C.
20 3
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B.
10 27 -
D.None of these
- Answer & Explanation
- Report
Answer : [C]
Explanation :
Explanation :
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25.
The largest four – digit number which when divided by 4, 7 or 13 leaves a remainder of 3 in each case, is
- A.8739
- C.9834
- B.9831
- D.9893
- Answer & Explanation
- Report
Answer : [B]
Explanation :
Explanation :
| Greatest number of 4 digits is 9999, L.C.M. of 4, 7 and 13 = 364 | |||
| On dividing 9999 by 364, remainder obtained is 171. | |||
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| Hence, required number = (9828 + 3) = 9831 | |||
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