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16 May 2018, 06:47
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C
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90% (00:59) correct
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How many more men than women are in the room?
(1) There is a total of 20 women and men in the room.
(2) The number of men in the room equals the square of the number of women in the room.
(1) There is a total of 20 women and men in the room.
(2) The number of men in the room equals the square of the number of women in the room.
16 May 2018, 07:34
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Let number of men = m and women = w
(1) m+n=20; not sufficient
(2) m = n^2; notsufficient
Together we arrive at the equation => n^2 + n =20; can be solved to give n and consequently m
Answer: C
(1) m+n=20; not sufficient
(2) m = n^2; notsufficient
Together we arrive at the equation => n^2 + n =20; can be solved to give n and consequently m
Answer: C
16 May 2018, 08:28
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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
Hence, the correct answer is option C.
Answer: C
