Xavier Aptitude Test 2016 Paper

Question : 53 of 103

Marks: +1, -0

Consider the set of numbers {1, 3, 3

^{2}

, 3

^{3}

, ....., 3

^{100}

}. The ratio of the last number and the sum of the remaining numbers is closest to:

Solution:

(b) Set of numbers {1, 3, 3

^{2}

, 3

^{3}

, ------, 3

^{100}

}
Suppose we take last number = 3

^{2}

= 9
Sum of remaining numbers = 1 + 3 = 4
Ratio =

9/4

≃ 2
Suppose we take last number = 3

^{3}

= 27
Sum of remaining numbers = 1 + 3 + 9 = 13
Ratio =

27/13

≃ 2
Similarly for whole set of numbers
Ratio is closest to 2.

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