H.C.F AND L.C.M SET 04
1. The least number, which when divided by 48, 60, 72, 108 and 140 leaves 38, 50, 62, 98 and 130 as remainders respectively, is:
A.11115 B.15110 C.15130 D.15310 E. None of these
2. The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:
A.269 B.275 C.308 D.310 E. None of these
3. 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.15 minutes 15 seconds B.42 minutes 30 seconds C.42 minutes
D.46 minutes 12 seconds E. None of these
D.46 minutes 12 seconds E. None of these
4. The L.C.M. of two numbers is 48. The numbers are in the ratio 2: 3. Then sum of the number is:
A.30 B.22 C.40 D.60 E.None of these
5. The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:
A.534 B.486 C.544 D.548 E.None of these
6. The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:
A.124 B.100 C.111 D.175 E.None of these
7. The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:
A.1 B.2 C.3 D.5 E.None of these
8. The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:
A.10 B.14 C.23 D.30 E.None of these
9. If the product of two numbers is 2496 and HCF is 8,then the ratio of HCF and LCM is
A)1:32 B)39:1 C)1:39 D)4:63 E)None of these
10. The greatest possible length which can be used to measure exactly the lengths 1m 92cm,3m 84cm ,23m 4cm
A)23 B)32 C)36 D)34 E)None of these
Answer Keys:
1. B
2. C
3. D
4. C
5. D
6. C
7. B
8. C
9. C
10. B
Answer Keys:
1. B
2. C
3. D
4. C
5. D
6. C
7. B
8. C
9. C
10. B
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