**ICSE Number Line Class 6 Chapter 5 Playing With Numbers Exercise 5F Solutions**

This post is created to help all the ICSE Class 6 students for the Solutions of Number Line Class 6 Mathematics Book, Chapter 5 Playing With Numbers Exercise 5F. Here students can easily find step by step solutions of all the problems for Playing With Numbers Exercise 5F. Here students all find exercise wise proper solutions for every problems. Here all the problem are solved with easy to understand methods so that all students can understand easily.

**Chapter 5 – Playing With Numbers**

**Playing With Numbers – Exercise 5F all Questions Solution**

**(1) Find the LCM of the following numbers by the prime factorization method.**

**Solution :**

(a)

LCM = 2 × 2 × 3 × 7 × 13

= 1092

(b)

LCM = 2 × 3 × 3 × 9 × 2 × 3

= 972

(c)

LCM = 2 × 2 × 3 × 2 × 2 × 1 × 2 × 5

= 480

**(2) Find the LCM of the following numbers by the common division method.**

**Solution :**

(a)

LCM = 2 × 1 × 14 × 43

= 1204

(b)

LCM = 3 × 17 × 13

= 663

(c)

LCM = 4 × 19 × 2 × 3

= 456

**Question no – (3)**

**Solution :**

We know product of two number = HCF × LCM

So, 460 × 232

= 4 × LCM

=> LCM = 450 × 232/4

= 26,680

**Question no – (4)**

**Solution :**

Same

540 × 940

= HCF × LCM

=> HCF × 3780

= 540 × 945

=> HCF = 540 × 945/3780

= 135

**Question no – (5)**

**Solution :**

Other number × 265 = 5 × 46,905

=> Other number

= 5 × 46,905/265

= 885

**Question no – (6)**

**Solution :**

HCF of two co-prime number = 1

So, 1 × 153

= 17 × other number

=> Other number

= 153/17

= 9

**Question no – (7)**

**Solution :**

LCM = 5 × 37 × 70

= 12,950

∴ So, HCF = 5

**Multiple Choice Questions**

**(1) The sum of three odd numbers is**

**Solution :**

The correct option is – (a) Odd

**(2) The sum of two odd numbers and one even number is**

**Solution :**

The correct option is – (a) Even

**(3) The smallest prime number is**

**Solution :**

The correct option is – (b) 2

**(4) All the factors of 6 are**

**Solution :**

The correct option is – (b) 1, 2, 3, 6

**(5) What value must be assigned to * so that 4 * 96 is exactly divisible by 8?**

**Solution :**

The correct option is – (d) 8

**(6) Which of the following numbers is divisible by 11?**

**Solution :**

The correct option is – (a) 1111

**(7) The least number divisible by 5, 10, 12, 15, 18, 25 and 30 is**

**Solution :**

The correct option is – (b) 900

**(8) If the HCF of two numbers is 1, then they are called**

**Solution :**

The correct option is – (c) Co-prime numbers

**(9) A number is divisible by 8 if**

**Solution :**

The correct option is – (c) The number formed by its last three digit is divisible by 8

**(10) If 987*46 is exactly divisible by 3, then * is**

**Solution :**

The correct option is – (b) 2