KVPY SX SB Exam 2013 Question Paper

Question : 19 of 120

Marks: +1, -0

For an integer n let

S_n = \{n+1,n+2,...,n+18 \}

Which of the following is true for all

n ≥ 10

Solution:

n + 1, n + 2, ...... n + 18
(A) False, if n = 19
(C) False if n = 15
16 to 33
20, 25, 30 → only three multiples of 5
(D) no. of odd integers in

\S_\n = 9

every third odd integer is multiple of 3
so maximum prime no. = 6.

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