A. 123
B. 127
C. 235
D. 305
Explanation:
Required number = H.C.F. of (1657 – 6) and (2037 – 5)= H.C.F. of 1651 and 2032 = 127.
Related Mcqs:
- Find the least number which when divide by 2, 3, 4, 5 and 6 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 7 leaves no remainder?
A. 210
B. 119
C. 126
D. 154 - Find the least number which when divided by 6, 7, 8, 9 and 10 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 19 leaves no remainder?
A. 5073
B. 5016
C. 5054
D. 5035 - Find the greatest number of four digits which when divided by 10, 15, 21 and 28 leaves 4, 9, 15 and 22 as remainders respectively?
A. 9654
B. 9666
C. 9664
D. 9864 - What is the least number which when divided by 8, 12, 18 and 24 leaves the remainders 4, 8, 14 and 20 respectively?
A. 78
B. 68
C. 58
D. None - Find the least multiple of 13 which when divided by 6, 8 and 12 leaves 5, 7 and 11 as remainders respectively? A. 143 B. 169 C. 260 D. 221
A. 143
B. 169
C. 260
D. 221 - Find the least number which when divided by 35 leaves remainder 25, when divided by 25 leaves remainder 15 and when divided by 15 leaves remainder 5?
A. 420
B. 515
C. 435
D. 518 - Find the greatest number which is such that when 697, 909 and 1227 are divided by it, the remainders are all the same?
A. 53
B. 112
C. 108
D. 106 - Find the greatest number which, while dividing 19, 83 and 67, gives a remainder of 3 in each case?
A. 16
B. 17
C. 18
D. 19 - Find the greatest number that, while dividing 47, 215 and 365, gives the same remainder in each case?
A. 3
B. 4
C. 5
D. 6 - The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19, 29 and 34 respectively is________?
A. 1994
B. 1494
C. 1349
D. 1496
