model 2 find lcm of numbers Section-Wise Topic Notes With Detailed Explanation And Example Questions

Question : 1

The least multiple of 7, which leaves the remainder 4, when divided by any of 6, 9, 15 and 18, is

a) 364

b) 184

c) 94

d) 76

Question : 2

4 bells ring at intervals of 30 minutes, 1 hour, 1$1/2$ hour and 1 hour 45 minutes respectively. All the bells ring simultaneously at 12 noon. They will again ring simultaneously at :

a) 9 a.m.

b) 6 a.m.

c) 3 a.m.

d) 12 mid night

Question : 3

Four bells ring at the intervals of 5, 6, 8 and 9 seconds. All the bells ring simultaneously at some time. They will again ring simultaneously after

a) 24 minutes

b) 18 minutes

c) 12 minutes

d) 6 minutes

Question : 4

The number nearest to 10000, which is exactly divisible by each of 3, 4, 5, 6, 7 and 8, is :

a) 10000

b) 9996

c) 10080

d) 9240

Question : 5

Three bells ring simultaneously at 11a.m. They ring at regular intervals of 20 minutes, 30 minutes, 40 minutes respectively. The time when all the three ring together next is

a) 1.30 p.m.

b) 1.15 p.m.

c) 1 p.m.

d) 2 p.m.

Question : 6

The least number which when divided by 16, 18, 20 and 25 leaves 4 as remainder in each case but when divided by 7 leaves no remainder is

a) 18004

b) 18002

c) 18000

d) 17004