Find the greatest number that will divide 43, 91, and 183 so as to leave the same remainder in each case.
- (a) 4
- (b) 7
- (c) 9
- (d) 13
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
- (a) 276
- (b) 322
- (c) 299
- (d) 345
Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10, and 12 seconds respectively. In 30 minutes, how many times do they toll together?
- (a) 4
- (b) 10
- (c) 15
- (d) 16
Let N be the greatest number that will divide 1305, 4665, and 6905, leaving the same remainder in each case. Then the sum of the digits in N is:
- (a) 4
- (b) 5
- (c) 6
- (d) 9
The greatest number of four digits which is divisible by 15, 25, 40, and 75 is:
- (a) 9000
- (b) 9400
- (c) 9600
- (d) 9800
The product of two numbers is 4107. If the HCF of these numbers is 37, then the greater number is:
- (A) 101
- (B) 111
- (C) 107
- (D) 185
Three numbers are in the ratio of 3:4:5 and their LCM is 2400. Their HCF is:
- (A) 40
- (B) 80
- (C) 120
- (D) 200
The G.C.D. of 1.08, 0.36, and 0.9 is:
- (A) 0.03
- (B) 0.18
- (C) 0.108
- (D) 0.9
The product of two numbers is 2028 and their HCF is 13. The number of such pairs is:
- (A) 1
- (B) 2
- (C) 3
- (D) 4
The least multiple of 7, which leaves a remainder of 4 when divided by 6, 9, 15, and 18 is:
- (A) 74
- (B) 94
- (C) 184
- (D) 364