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 is 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.
Every element of S1 is made greater than or equal to every element of S2 by adding to each element of S1 an integer x. Then, x cannot be less than:

• A. 2 10
• B. the smallest value of S2
• C. the largest value of S2
• D. (G- L)

Answer 1

The correct option is D (G- L)

The smallest integer of the series is 1 and greatest integer is 50. If each element of S1 is made greater of equal to every element of S2, then the smallest element 1 should be added to (50 - 1) = 49. Hence option (G-L) is the correct answer.

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

Let the series of integers $a_1,a_2,.......,a_{50}$ be $1,2,3,4,5,.......,50.$

$S_1=1,2,3,4,.........24,S_2=25,26,27,..........50$