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NCERT solutions Mathematics Class 8 chapter 16 Playing with Numbers

Chapters

NCERT Mathematics Class 8

Mathematics Textbook for Class 8

Chapter 16 - Playing with Numbers

Pages 255 - 256

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

     3 A

 +  2 5

-------

    B 2

-------

Q 1 | Page 255

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

   4 A

+ 9 8

------

C  B 3

------

Q 2 | Page 255

Find the value of the letter in the following and give reasons for the steps involved.

  1 A

  x A

------

  9 A

------

Q 3 | Page 255

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

   A B

+ 3 7

------

   6 A

------

Q 4 | Page 256

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

   A  B

   x  3

-------

C  A  B

-------

Q 5 | Page 256

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

   A  B

   x  5

-------

C  A B

------- 

Q 6 | Page 256

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

   A  B

   x   6

-------

 B  B  B

-------

Q 7 | Page 256

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

   A  1

+ 1  B

-------

   B  0

-------  

Q 8 | Page 256

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

  2  A  B

+ A  B  1

---------

   B  1  8

----------

Q 9 | Page 256

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

   1  2  A

+ 6  A  B

---------

   A  0  9

---------

Q 10 | Page 256

Page 260

If 21y5 is a multiple of 9, where y is a digit, what is the value of y?

Q 1 | Page 260

If 31z5 is a multiple of 9, where z is a digit, what is the value of z? You will find that there are two answers for the last problem. Why is this so?

Q 2 | Page 260

If 24x is a multiple of 3, where x is a digit, what is the value of x?

(Since 24x is a multiple of 3, its sum of digits 6 + x is a multiple of 3; so 6 + x is one of these numbers: 0, 3, 6, 9, 12, 15, 18…. But since x is a digit, it can only be that 6 + x = 6 or 9 or 12 or 15. Therefore, x = 0 or 3 or 6 or 9. Thus, x can have any of four different values)

Q 3 | Page 260

If 31z5 is a multiple of 3, where z is a digit, what might be the values of z?

Q 4 | Page 260

NCERT Mathematics Class 8

Mathematics Textbook for Class 8
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