## Quant Quiz on HCF and LCM for DSSSB Exam

1. The HCF and product of two numbers are 15 and 6300 respectively. The number of possible pairs of the number is
(a) 4         (b) 3
(c) 2  (d) 1
(e) None of these

2. What least number must be subtracted from 1936 so that the resulting number when divided by 9, 10 and 15 will in each case the same remainder 7?
(a) 37 (b) 36
(c) 39 (d) 30
(e) None of these

3. The LCM of two numbers is 12 times their HCF. Then sum of the HCF and the LCM is 403. If one of the numbers is 93, the other number is
(a) 124 (b) 128
(c) 134 (d) 138
(e) None of these
4. A number, when divided by 899, leaves remainder 63. What will be the remainder if the same number is divided by 29?
(a) 3 (b)  1
(c) 5 (d) 0
(e) None of these

5. The largest number which divides 25, 73 and 97 to leave the same remainder in each case, is
(a) 24 (b) 23
(c) 21 (d) 6
(e) None of these

6. The least number, by which 1944 must be multiplied so as to make the result a perfect cube, is
(a) 2 (b) 3
(c) 6 (d) 13
(e) None of these
7. Three numbers are in ratio 2 : 3: 4 and their H.C.F. is 12. The L.C.M. of the number is
(a) 144 (b) 192
(c) 96 (d)  72
(e) None of these

8. The sum of the H.C.F. and L.C.M. of two numbers is 680 and their L.C.M. is 84 times their H.C.F. If one of the numbers is 56, then the other number is
(a) 64 (b) 72
(c) 96 (d) 80
(e) None of these

9. The greatest number that divides 122 and 243 leaving respectively 2 and 3 as remainders, is
(a) 12        (b) 24
(c) 30            (d) 120
(e) None of these

10. The number nearest to 10000 which is exactly divisible by each of  3, 4, 5, 6, 7 and 8, is
(a) 9240      (b) 10080
(c) 9996    (d) 100000
(e) None of these

## Study notes on HCF and LCM for DSSSB Exam

1. (c) 2. (c) 3. (a) 4. (c) 5. (a) 6. (b) 7. (a) 8. (c) 9. (d) 10. (b)

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