CMAT 2013 Solved Question Paper

Question : 9 of 100

Marks: +1, -0

The least number which when divided by 2,3,4,5 and 6 leaves the reminder 1 in each case. If the same number is divided by 7, it leaves no remainder. The number is

Validate

Solution:

(b) The required number = (LCM of 2, 3, 4, 5, 6)
k +1 = 7L
⇒ 60 k + 1 = 7 L
⇒

{60k+1}/7

= L
Now, put the least possible value of k such that L must be a positive integer. Hence, at k = 5, L is an integer.
Thus, the required value = 60 x 5 +1 = 301

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