Q35. A number is selected at random from first 50 natural numbers. Then the probability that it is a multiple of 3 and 4 is:

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Q35. A number is selected at random from first 50 natural numbers. Then the probability that it is a multiple of 3 and 4 is:

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(A) 7/50
(B) 4/25
(C) 1/25
(D) 2/25

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Class 10 Maths swatiqna 3 years 2021-12-28T14:03:40+00:00 2021-12-28T14:03:40+00:00 1 Answer 8 views Enlightened 0

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swatiqna Enlightened · Answer 1 · 2022-01-01T04:14:29+00:00

Answer: (D)
Explanation: The numbers that
are multiple of 3(from first 50
natural numbers) are:
3, 6, 9, 12, 15, 18………………..48
The numbers that are multiple of 4
(from first 50 natural numbers)
are:
4, 8, 12, 16…………………….48
The numbers that are multiples of
3 and 4 both are the multiples of

3×4=12 as both 3 and 4 are co-
prime.

So common multiples are:
12, 24, 36, 48
Therefore probability is:
P (multiple of 3 and 4) = 4/50
⇒ P (multiple of 3 and 4) = 2/25

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Q35. A number is selected at random from first 50 natural numbers. Then the probability that it is a multiple of 3 and 4 is: