Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Average

Question:

The average of six integers is 48. The average of the first five integers is 70% of the sixth integer. The sixth integer is.

Options:

64

62

68

58

Correct Answer:

64

Explanation:

Lets assume 6th integer be x

\(\frac{Sum\:of\:first\:5\:integers}{5}\) = 0.70x

Sum of 1st 5 integers = 3.5x

Average of 6 integers = 48

\(\frac{(Sum\:of\:5\:integers\:+\:6th\:integer )}{6}\) = 48

⇒ (3.5x + x) = 48 x 6

⇒ 4.5x = 288

⇒ x = 64