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1. The least number which when divided by 4, 6, 8, 12 and 16 leaves a remainder of 2 in each case is :
(1) 46
(2) 48
(3) 50
(4) 56
Ans. 3
2. The least number, which when divided by 12, 15, 20 or 54 leaves a remainder of 4 in each case, is
(1) 450
(2) 454
(3) 540
(4) 544
Ans. 4
3. Find the greatest number of five digits which when divided by 3. 5, 8, 12 have 2 as remainder  :
(1) 99999
(2) 99958
(3) 99960
(4) 99962
Ans. 4
4. The least multiple of 13. which on dividing by 4, 5, 6, 7 and 8 leaves remainder 2 in each case is :
(1) 2520
(2) 842
(3) 2522
(4) 840
Ans. 3
5. A, B, C start at the same time and at the same point in the same direction in a circular stadium . A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds. After what time will they meet again at the starting point ?
(1) 26 minutes 18 seconds
(2) 42 minutes 36 seconds
(3) 45 minutes
(4) 46 minutes 12 seconds
Ans. 4
6. Find the largest number of four  digits such that on dividing by 15, 18, 21, and 24 the remainder are 11, 14, 17 and 20 respectively 
(1) 6557
(2) 7556
(3) 5675 
(4) 7664
Ans. 2
7. The least number, which when divide by each of 21, 36 and 66 is
(1) 214344
(2) 214434
(3) 213444
(4) 231444
Ans. 3
8. The least number, which when divided by 4, 5 and 6 leaves remainder 1, 2, and 3 respectively is 
(1) 57
(2) 59
(3) 61
(4) 63
Ans. 1
9. Let the least number of six digits which when divided by 4, 6, 10, 15 leaves in each case number 2 be N. The sum of digits to N is :
(1) 3
(2) 5
(3) 4
(4) 6
Ans. 2
10. Which is the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?
(1) 2520
(2) 1260
(3) 630
(4) 196
Ans. 3

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