HCF & LCM

1

Arrange the fractions    `17/18, 31/36, 43/45, 59/60` in the ascending order .

A. `31/36 < 17/18 < 43/45 < 59/60`
B. `31/36 < 43/45 < 59/60 <17/18`
C. `17/18 < 31/36 < 43/45 < 59/60`
D. `31/36 < 17/18 < 59/60 < 43/45`

2

The traffic light at three different road crossing 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 will they again change simultaneously  ?

A. 8 : 27 : 12 hrs.
B. 6 : 27 : 12 hrs.
C. 7 : 27 : 12 hrs.
D. 5 : 27 : 12 hrs.

3

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 .

A. 1663
B. 1676
C. 1683
D. 1693

4

Find the least number which when divided by 20, 25, 35 and 40 leaves remainders 14, 19, 29,  and 34 respectively .

A. 1394
B. 1295
C. 1354
D. 1384

5

Find he smallest number of five digits exactly divisible by 16, 24, 36 and 54 .

A. 9368
B. 9868
C. 10368
D. 10688