NCERT Solutions for Class 8 Maths Maths - NCERT Solution Chapter 16

Playing with Numbers Class 8

Chapter 16 Playing with Numbers Exercise 16.1, 16.2 Solutions

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Exercise 16.1 : Solutions of Questions on Page Number : 255

Q1 :  

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


Answer :

The addition of A and 5 is giving 2 i.e., a number whose ones digit is 2. This is possible only when digit A is 7. In that case, the addition of A (7) and 5 will give 12 and thus, 1 will be the carry for the next step. In the next step,

1 + 3 + 2 = 6

Therefore, the addition is as follows.

Clearly, B is 6.

Hence, A and B are 7 and 6 respectively.

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Q2 :  

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


Answer :

The addition of A and 8 is giving 3 i.e., a number whose ones digit is 3. This is possible only when digit A is 5. In that case, the addition of A and 8 will give 13 and thus, 1 will be the carry for the next step. In the next step,

1 + 4 + 9 = 14

Therefore, the addition is as follows.

Clearly, B and C are 4 and 1 respectively.

Hence, A, B, and C are 5, 4, and 1 respectively.

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Q3 :  

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


Answer :

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Q4 :  

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


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Q5 :  

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


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Q6 :  

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


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Q7 :  

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


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Q8 :  

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


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Q9 :  

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


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Q10 :  

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


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Exercise 16.2 : Solutions of Questions on Page Number : 260

Q1 :  

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


Answer :

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Q2 :  

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?


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Q3 :  

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)


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Q4 :  

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


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Maths - NCERT Solution - Maths : CBSE NCERT Exercise Solutions for Class 8th for Playing with Numbers ( Exercise 16.1, 16.2 ) will be available online in PDF book form soon. The solutions are absolutely Free. Soon you will be able to download the solutions.