Solution

To find:• How many more men are there in the room, compared to women

Analysing Statement 1• As per the information given in Statement 1, there are total 20 people in the room, taking all men and women

o But from this statement we cannot find out the exact number of men and women

Hence, statement 1 is not sufficient to answer

Analysing Statement 2• As per the information given in Statement 2, the number of men in the room equals the square of the number of women in the room

o If we assume number of women to be x, then number of men will be \(x^2\)

o But from this statement we cannot find out the difference between the number of men and number of women

Hence, statement 1 is not sufficient to answer

Combining Both Statements• Combining the information from both the statements, we can say

o \(x^2\) + x = 20

Or, (x + 5) (x – 4) = 0

As x cannot be negative, x = 4

• Therefore, we can find out the exact number of men and women, and subsequently the difference between them

Hence, the correct answer is option C.

Answer: C
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