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Question
Assertion :The number of ways of writing 1400 as a product of two positive integers is 12. Reason: 1400 is divisible by exactly three prime factors.
Assertion :The number of ways of writing 1400 as a product of two positive integers is 12. Reason: 1400 is divisible by exactly three prime factors.
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Solution
The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
1400=23527
The number of ways in which 1400 can be expressed as a product of two positive integers is
(3+1)(2+1)(1+1)2=12
Statement 2 is correct but does not explain statement 1 as it just gives the information about the prime factor about which 1400 is divisible.
1400=23527
The number of ways in which 1400 can be expressed as a product of two positive integers is
(3+1)(2+1)(1+1)2=12
Statement 2 is correct but does not explain statement 1 as it just gives the information about the prime factor about which 1400 is divisible.
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