## ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 5 Playing with Numbers Ex 5.1

Question 1.

Write the following numbers in the generalized form:

(i) 89

(ii) 207

(iii) 369

Solution:

Question 2.

Write the quotient, when the sum of a 2-digit number 34 and number obtained by reversing the digits is divided by

(i) 11

(ii) sum of digits

Solution:

Question 3.

Write the quotient when the difference of a 2-digit number 73 and number obtained by reversing the digits is divided by

(i) 9

(ii) the difference of digits.

Solution:

Question 4.

Without actual calculation, write the quotient when the sum of a 3-digit number abc and the number obtained by changing the order of digits cyclically i.e. bca and cab is divided by

(i) 111

(ii) (a + b + c)

(iii) 37

(iv) 3

Solution:

Question 5.

Write the quotient when the difference of a 3-digit number 843 and number obtained by reversing the digits is divided by

(i) 99

(ii) 5

Solution:

Question 6.

The sum of digits of a 2-digit number is 11. If the number obtained by reversing the digits is 9 less than the original number, find the number.

Solution:

Question 7.

If the difference of a two-digit number and the number obtained by reversing the digits is 36, find the difference between the digits of the 2-digit number.

Solution:

Question 8.

If the sum of two-digit number and number obtained by reversing the digits is 55, find the sum of the digits of the 2-digit number.

Solution:

Question 9.

In a 3-digit number, unit’s digit, ten’s digit and hundred’s digit are in the ratio 1 : 2 : 3. If the difference of the original number and the number obtained by reversing the digits is 594, find the number.

Solution:

Question 10.

In a 3-digit number, the unit’s digit is one more than the hundred’s digit and ten’s digit is one less than the hundred’s digit. If the sum of the original 3-digit number and numbers obtained by changing the order of digits cyclically is 2664, find the number.

Solution: