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06 Nov 2017, 10:31
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
61% (01:33) correct
39%
(01:29)
wrong
based on 109
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What is the number of girls in a class, if the total strength of the class is less than 35?
(1) There are at least 10 boys.
(2) The number of girls is equal to \(\frac{8}{13}\) of total strength.
self made
(1) There are at least 10 boys.
(2) The number of girls is equal to \(\frac{8}{13}\) of total strength.
self made
chetan2u
let the total strength be \(x\) where \(x<35\) is an integer
Statement 1: implies \(boys≥10\), so number of \(girls=x-boys\). There could be multiple values. Insufficient
Statement 2: implies \(girls = \frac{8x}{13}\). but we don't know about \(x\) so Insufficient
Combining 1 & 2 number of \(boys = x-\frac{8x}{13}=\frac{5x}{13}\)
it is given that \(\frac{5x}{13}≥10\) and \(x<35\). so the only value of \(x\) that satisfies both these conditions is \(x=26\)
Hence number of \(girls = \frac{8*26}{13}=16\)
Option C
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06 Nov 2017, 11:04
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chetan2u
Hi Chetan!
What is the meaning of strength? It kind of got me confused...
I believe it is the total number.
1. Let's say that we have 34 people. we can have 10 boys and 24 girls, or we can have 11 boys and 24 girls. Moreover, not having an exact number for the entire class opens the doors to even more possibilities. First statement is insufficient, and we can remove A and D from the answer choices.
2. Since we deal with integers, there are 2 options for the class size. either 13 or 26. thus, girls can be either 8 or 16. Since we have 2 different outcomes, B is out.
1+2.
we can have either 13 or 26 people in the class.
we must have at least 10 boys and either 8 or 16 girls.
using this information, we know that the class size is 26, we have 10 boys and 16 girls.
C is the answer.
