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Question

There are 50 integers a1, a2,........, a50, not all of them necessarily different. Let the greatest integer of these 50 integers be referred to as G, and the smallest integer be referred to as L. The integers a1 through a24 form sequence S1, and the rest form sequence S2. Each member of S1 is less than or equal to each member of S2.
Elements of S1 are in ascending order, and those of S2 are in descending order. a24 and a35 are interchanged, then which of the following statements is true?

A
S1 continues to be in ascending order.
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B
S2 continues to be in descending order.
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C
S1 continues to be in ascending order and s2 in descending order.
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D
None of the above
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Solution

The correct option is A S1 continues to be in ascending order.

Let S1=1,2,3,4,.......,24, S2=50,49,.........,25;

New series after interchange S1=1,2,3,4........,25, S2=50,49,.......24

It is therefore clear that S1 continues to be in ascending order.

As this is a variable based question: the word "ANY" can be used.

Let the series of integers a1,a2,.......,a50 be 1,2,3,4,5,......,50.

S1=1,2,3,4,......24, S2=25,26,27,.........50


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