CAT 1999 — QA Question 33
Directions: Answer the questions based on the following information.
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 a25 are interchanged. Then which of the following statements is true?
Answer & solution
S1 continues to be in ascending order.
- B
S2 continues to be in descending order.
- C
S1 continues to be in ascending order and S2 in descending order.
- D
None of the above
The elements of S1 are in the order : a1 < a2 < a3 < a4 < . . . < a24
The elements of S2 are in the order: a25 > a26 > . . . > a49 > a50
Even if a24 and a25 are interchanged, the elements of S1 continues to be in ascending order. However, nothing can be concluded about the elements of S2.