A set contains 5 integers {a, b, c, d, e}, which are evenly distribute

Solution

Given:
• 5 integers are evenly distributed and arranged in increased order.

To find:
• The value of c

Statement-1: “The smallest integer of the set is 4“
a= 4
This does not give us any information about c.
Hence, Statement 1 alone is not sufficient to answer the question.

Statement-2: “Range of the set is 12 “
Since all the 5 elements are evenly distributed, we can assume the b= a+r, c= b+r= a+2r and so on.
• Hence, d= a+3r and e= a+4r
Now, range is 12.
Hence, e-a= 12
• a+4r-a= 12
• r= 3
• Hence, c= a+6
• But we don’t know the value of a.
Statement 2 alone is not sufficient to answer the question.

Combining both the statements:
From Statement 1:
a=4
From Statement 2:
c=a+6
Hence, c= 10
Hence, we can find the answer by combining both the statements.

Statement (1) and (2) together are sufficient to answer the question.
Hence, the correct answer is option C.

Answer: C