# H.C.F and L.C.M MCQ - Multiple Choice Question and Answer

## H.C.F and L.C.M MCQ with detailed explanation for interview, entrance and competitive exams. Explanation are given for understanding.

Question No : 8
Find the largest number which divides 62, 132 and 237 to leave the same remainder in each case.

36
38
45
35

Question No : 9
Find the least number which when divided by 6,7,8,9, and 12 leave the same remainder 1 each case

504
505
506
508

Question No : 10
Find the largest number of four digits exactly divisible by 12,15,18 and 27.

9999
9988
9872
9720

Question No : 11
Find the smallest number of five digits exactly divisible by 16,24,36 and 54.

10368
10876
10345
10234

Question No : 12
Find the least number which when divided by 20,25,35 and 40 leaves remainders 14,19,29 and 34 respectively.

1394
1390
1400
1380

Question No : 13
Find the least number which when divided by 5,6,7, and 8 leaves a remainder 3, but when divided by 9 leaves no remainder .

1683
1892
1762
1823

Question No : 14
The traffic lights at three different road crossings change after every 48 sec., 72 sec and 108 sec. respectively .If they all change simultaneously at 8:20:00 hours, then at what time they again change simultaneously .

8:26:12 hrs
8:27:12 hrs
7:12:34 hrs
9:12:30 hrs