## ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 4 Playing with Numbers Check Your Progress

Question 1.

Write all factors of:

(i) 88

(ii) 105

(iii) 96

Solution:

Question 2.

Find the common multiples of 8 and 12.

Solution:

Question 3.

Which of the following pairs of numbers are co-prime?

(i) 25 and 105

(ii) 59 and 97

(iii) 161 and 192

Solution:

Question 4.

Using divisibility tests, determine which of the following numbers are divisible by 4, 6, 8, 9 or 11:

(i) 197244

(ii) 613440

(iii) 4100448

Solution:

Question 5.

In 92 * 389, replace * by a digit so that the number formed is divisible by 11.

Solution:

Question 6.

Find the prime factorisation of the following numbers:

(i) 168

(ii) 2304

Solution:

Question 7.

Find the G.C.D. of the given numbers by prime factorisation method :

(i) 24,45

(ii) 180, 252, 324

Solution:

Question 8.

Find the H.C.F of the given numbers by division method.

(i) 54, 82

(ii) 84, 120, 156

Solution:

Question 9.

Find the L.C.M of the given numbers by prime factorisation method.

(i) 27, 90

(ii) 36, 48, 210

Solution:

Question 10.

Find the L.C.M of the given numbers by division method:

(i) 48, 60

(ii) 112, 168, 266

Solution:

Question 11.

Find the greatest number which divides 2706, 7041 and 8250 leaving remainder 6, 21 and 42 respectively.

Solution:

Question 12.

Find the least number which on decreasing by 20 is exactly divisible by 18, 21, 28 and 30.

Solution:

Question 13.

There are three heaps of rice weighing 120 kg, 144 kg and 204 kg. Find the maximum capacity of a bag so that the rice of each heap can be packed in exact number of bags.

Solution:

Question 14.

Three bells are ringing continuously at intervals of 30, 36 and 45 minutes respectively. At what time will they ring together again if they ring simultaneously at 8 a.m.

Solution:

Question 15.

Two numbers are co-prime and their L.C.M. is 4940. If one of the numbers is 65, find the other number.

Solution: