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Chapter 3: Playing With Numbers

    Introduction

    Factors and Multiples

    Prime and Composite Numbers

    Even and Odd numbers

    Tests for Divisibility of Numbers

    Prime Factorisation

    Common Factors and Common Multiples

    Exercise 3.1

    Exercise 3.2

    Exercise 3.3

    Exercise 3.4

    Exercise 3.5

    Exercise 3.6

    Exercise 3.7

    What Have We Discussed?

    Enhanced Curriculum Support

    Easy Level Worksheet

    Moderate Level Worksheet

    Hard Level Worksheet

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Chapter 3: Playing With Numbers > Exercise 3.5

Exercise 3.5

1. Find the LCM of the following numbers by prime factorisation method.

(i) 12 and 15 (ii) 15 and 25 (iii) 14 and 21

(iv) 18 and 27 (v) 48, 56 and 72 (vi) 26, 14 and 91.

2. Find the LCM of the following numbers by division method.

(i) 84, 112, 196 (ii) 102, 119, 153 (iii) 45, 99, 132, 165

3. Find the smallest number which when added to 5 is exactly divisible by 12, 14 and 18.

4. Find the greatest 3 digit number which when divided by 75, 45 and 60 leaves: (i) no remainder (ii) the remainder 4 in each case.

5. There are three measuring tapes of 64 cm, 72 cm and 96 cm. What is the least length that can be measured by any of these tapes exactly?

6. Prasad and Raju met in the market on 1st of this month. Prasad goes to the market every third day and Raju goes every 4th day.On what day of the month will they meet again?