CAT Exam Model Paper 6 with solutions for free online practice

Question : 11 of 60

Marks: +1, -0

If the n

^{th}

day of August lies on the same day as the 2n

^{th }

day of October, then how many values of n are possible?

Validate

Solution:

Since August and September have 61 days in total so 2n

^{th}

day of October can be considered as (2n + 61)

^{th}

day of August, so it is (n + 61) days after the n

^{th}

day of August. Hence (n + 61) should be divisible by 7. Values of n are 2, 9, 16, 23, 30. But the last three values are discarded as 2n will be greater than 31. Hence the answer is 2.

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