Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Average

Question:

Eight consecutive numbers are given. If the average of the two numbers that appear in the middle is 6, then the sum of the eight given numbers is:

Options:

56

64

72

48

Correct Answer:

48

Explanation:

Let the no. be    xx + 1,  x + 2   …….. x + 7

ATQ, 

\(\frac{x+3+x+4}{2}\) =  6

\(\frac{2x+7}{2}\) = 6

x = \(\frac{5}{2}\)  

Sum of all no.’s  =  x + x + 1 + x + 2   …………  + x + 7

=  8x + 28

=  8 × \(\frac{5}{2}\)  + 28

=  48