LIC AAO 22 Mar 2015 Paper

Question : 35 of 160

Marks: +1, -0

What is the total number of girls in the classroom?
(I) The respective ratio of number of boys and number of girls in the classroom is 9 : 7.
(II) The average weight of girls in the classroom is 4 kg less than the average weight of boys in the classroom. The average weight of all the students (both boys and girls) in the classroom is 44.25 kg.

if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question
if the data in Statement II alone arc sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
if the data in Statement I alone or in Statement II alone are sufficient to answer the question.
if the data in both the Statements I and II together are not sufficient to answer the question
if the data in both the Statements I and II together are necessary to answer the question.

Validate

Solution:

From statement I, Number of boys = 9x Number of girls = 7x From statements I and H, Average weight of boys= y kg.
Average weight of girls = (y - 4) kg.
∴ y x 9x + (y — 4) x 7x = (9x + lx) x 44.25
∴ 9y + 7y - 28 = 16 x 44.25 = 708 => 16y = 708 + 28 = 736
⇒ y =

{736}/{16}

= 46 kg
No result is obtained

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