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**Exercise 16.1 : ** Solutions of Questions on Page Number : **255**

<< Previous Chapter 15 : Introduction to Graphs
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**Exercise 16.2 : ** Solutions of Questions on Page Number : **260**

<< Previous Chapter 15 : Introduction to Graphs

Q1 :
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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 :
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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.

Answer needs Correction? Click Here

Q3 :
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Find the value of the letter in the following and give reasons for the steps involved.

**Answer :**

Q4 :
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Find the values of the letters in the following and give reasons for the steps involved.

**Answer :**

Q5 :
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Find the values of the letters in the following and give reasons for the steps involved.

**Answer :**

Q6 :
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Find the values of the letters in the following and give reasons for the steps involved.

**Answer :**

Q7 :
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Find the values of the letters in the following and give reasons for the steps involved.

**Answer :**

Q8 :
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Find the values of the letters in the following and give reasons for the steps involved.

**Answer :**

Q9 :
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Find the values of the letters in the following and give reasons for the steps involved.

**Answer :**

Q10 :
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Find the values of the letters in the following and give reasons for the steps involved.

**Answer :**

Q1 :
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If 21*y*5 is a multiple of 9, where *y* is a digit,
what is the value of *y*?

**Answer :**

Q2 :
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If 31*z*5 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?

**Answer :**

Q3 :
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If 24*x* is a multiple of 3, where *x* is a digit, what
is the value of *x*?

(Since 24*x* 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)

**Answer :**

Q4 :
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If 31*z*5 is a multiple of 3, where *z* is a digit,
what might be the values of *z*?

**Answer :**

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.

- Maths - NCERT Solution : Chapter 1 - Rational Numbers Class 8
- Maths - NCERT Solution : Chapter 2 - Linear Equations in One Variable Class 8
- Maths - NCERT Solution : Chapter 4 - Practical Geometry Class 8
- Maths - NCERT Solution : Chapter 3 - Understanding Quadrilaterals Class 8
- Maths - NCERT Solution : Chapter 6 - Squares and Square Roots Class 8
- Maths - NCERT Solution : Chapter 8 - Comparing Quantities Class 8
- Maths - NCERT Solution : Chapter 5 - Data Handling Class 8
- Maths - NCERT Solution : Chapter 12 - Exponents and Powers Class 8
- Maths - NCERT Solution : Chapter 9 - Algebraic Expressions and Identities Class 8
- Maths - NCERT Solution : Chapter 11 - Mensuration Class 8

Exercise 16.1 |

Question 1 |

Question 2 |

Question 3 |

Question 4 |

Question 5 |

Question 6 |

Question 7 |

Question 8 |

Question 9 |

Question 10 |

Exercise 16.2 |

Question 1 |

Question 2 |

Question 3 |

Question 4 |