Question

For how many value of ‘P’ the LCM of P and 20 will be 40.
A) 1
B) 2
C) 4
D) More than 4

Answer 1

(D) more than 4 is it ansaer

Answer 2

The number of values of P are 2

Given :

LCM of P and 20 will be 40.

To find :

For how many value of ‘P’ the LCM of P and 20 will be 40

A) 1

B) 2

C) 4

D) More than 4

Solution :

Step 1 of 2 :

Write down the given data

Here it is given that LCM of P and 20 will be 40.

20 = 2 × 2 × 5 = 2² × 5

40 = 2 × 2 × 2 × 5 = 2³ × 5

Step 2 of 2 :

Find number of values of P

20 = 2² × 5

40 = 2³ × 5

Therefore P must have a factor as 2³

So values of P are 2³ × 5⁰ and 2³ × 5¹

∴ Values of P are 8 and 40

Thus number of values of P are 2

Hence the correct option is B) 2

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