M l aggarwal understanding icse mathematics class 8 Solutions for Chapter 5 playing with numbers

Write the following numbers in the generalized form:

(i) 89

(ii) 207

(iii) 369

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

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) a difference of digits

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

the CAB is divided by

(i) 111

(ii) (a + b + c)

(iii) 37

(iv) 3

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

The sum of the digits of a 2-digit number is 11. If the number obtained by reversing

the digits are 9 less than the original number, find the number.

If the difference of a two-digit number and the number obtained by reversing the

digits are 36, find the difference between the digits of the 2-digit number.

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.

In a 3-digit number, the 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

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.

Find the values of the letters in each of the following and give reasons for the steps

involved (1 to 11):

1.

Find the values of the letters in each of the following and give reasons for the steps

involved (1 to 11):

Find the values of the letters in each of the following and give reasons for the steps

involved

Find the values of the letters in each of the following and give reasons for the steps

involved

Find the values of the letters in each of the following and give reasons for the steps involved

Find the values of the letters in each of the following and give reasons for the step involved

Find the values of the letters in each of the following and give reasons for the steps involved

Find the values of the letters in each of the following and give reasons for the steps involved

Find the values of the letters in each of the following and give reasons for the steps involved

Find the values of the letters in each of the following and give reasons for the steps involved

Find the values of the letters in each of the following and give reasons for the steps involved

Fill in the numbers from 1 to 6 (without repetition) so that each side of the magic

triangle adds up to 12.

Complete the magic square given alongside using number 0, 1, 2, 3, ……., 15

(only once), so that sum along each row, column, and diagonal is 30.

Fill in the blanks to complete the following number triangle

Which of the following numbers are divisible by 5 or by 10:

(i) 87035

(ii) 75060

(iii) 9685

(iv) 10730

Which of the following numbers are divisible by 2, 4 or 8:

(i) 67894

(ii) 5673244

(iii) 9685048

(iv) 6533142

(v) 75379

Which of the following numbers are divisible by 3 or 9:

(i) 45639

(ii) 301248

(iii) 567081

(iv) 345903

(v) 345046

Which of the following numbers are divisible by 11:

(i) 10835

(ii) 380237

(iii) 504670

(iv) 28248

Which of the following numbers are divisible by 6:

(i)15414

(ii) 213888

(iii) 469876

Which of the following numbers are divisible by 7:

(i) 46f8894875

(ii) 3794856

(iii) 39823

(i) If 34x is a multiple of 3, where x is a digit, what is the value of x?

(ii) If 74 × 5284 is a multiple of 3, where x is a digit, find the value(s) of x.

If 42z3 is a multiple of 9, where z is a digit, what is the value of z?

In each of the following replace × by a digit so that the number formed is divisible

by 9:

(i) 49 × 2207

(ii) 5938 × 623

In each of the following replace * by a digit so that the number formed is

divisible by 6:

(i) 97 × 542

(ii) 709 × 94

In each of the following replace * by a digit so that the number formed is

divisible by 11:

(i) 64 × 2456

(ii) 86 × 6194