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Chapter 3 Playing With Numbers Ex 3.5 Solutions

Question - 11 : -
18 is divisible by both 2 and 3. It is also divisible by 2 × 3 = 6. Similarly, a number is divisible by both 4 and 6. Can we say that the number must also be divisible by 4 × 6 = 24? If not, give an example to justify our answer:

Answer - 11 : -

No. It is not necessary because 12 and 36 are divisible by 4 and 6 both, but are not divisible by 24.

Question - 12 : -
I am the smallest number, having four different prime factors. Can you find me?

Answer - 12 : -

Since it is the smallest number of such type, it will be the product of 4 smallest prime numbers.

2 × 3 × 5 × 7 = 210

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