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

Question : 1

Four runners started running simultaneously from a point on a circular track. They took 200 seconds, 300 seconds, 360 seconds and 450 seconds to complete one round. After how much time do they meet at the starting point for the first time ?

a) 4800 seconds

b) 2400 seconds

c) 3600 seconds

d) 1800 seconds

Question : 2

Find the largest number of four digits such that on dividing by 15, 18, 21 and 24 the remainders are 11, 14, 17 and 20 respectively.

a) 7664

b) 5675

c) 7556

d) 6557

Question : 3

What is the smallest number which leaves remainder 3 when divided by any of the numbers 5, 6 or 8 but leaves no remainder when it is divided by 9 ?

a) 243

b) 723

c) 603

d) 123

Question : 4

The greatest number of four digits which when divided by 12, 16 and 24 leave remainders 2, 6 and 14 respectively is

a) 9998

b) 9807

c) 9970

d) 9974

Question : 5

Three bells ring at intervals of 36 seconds, 40 seconds and 48 seconds respectively. They start ringing together at a particular time. They will ring together after every

a) 24 minutes

b) 18 minutes

c) 12 minutes

d) 6 minutes

Question : 6

A, B, C start running 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 ?

a) 46 minutes 12 seconds

b) 45 minutes

c) 42 minutes 36 seconds

d) 26 minutes 18 seconds