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27 Aug 2022, 20:45
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E
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Difficulty:
25%
(medium)
Question Stats:
72% (01:07) correct
28%
(00:59)
wrong
based on 50
sessions
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If the ratio of boys to girls attending school S in 1980 was 1:2, what was the ratio of boys to girls attending school S in 1981?
(1) 50 more boys were attending school S in 1981 than in 1980.
(2) 50 more girls were attending school S in 1981 than in 1980.
(1) 50 more boys were attending school S in 1981 than in 1980.
(2) 50 more girls were attending school S in 1981 than in 1980.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
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Data Sufficiency Forum
28 Aug 2022, 00:38
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Let the number of Boys attending school S in 1980 be X. As per the ratio 1:2, number of girls attending school S in 1980 would be 2X.
We need to find (Number of Boys attending school S in 1981)/(Number of Girls attending school S in 1981)
(1) 50 more boys were attending school S in 1981 than in 1980.
--> Number of Boys attending school S in 1981 = X+50. But, we don't know anything about the Number of Girls attending school S in 1981.
(2) 50 more girls were attending school S in 1981 than in 1980.
--> Number of Girls attending school S in 1981 =2X+50. But, we don't know anything about the Number of Boys attending school S in 1981.
Combined we get,
(Number of Boys attending school S in 1981)/(Number of Girls attending school S in 1981) = (X+50)/(2X+50)
We get different values for this ratio depending on value of X:
e.g., If X = 1 the ratio is 51/52 ; If X=2 the ratio is 52/54
Hence, both statements combined is also insufficient.
Answer: E
We need to find (Number of Boys attending school S in 1981)/(Number of Girls attending school S in 1981)
(1) 50 more boys were attending school S in 1981 than in 1980.
--> Number of Boys attending school S in 1981 = X+50. But, we don't know anything about the Number of Girls attending school S in 1981.
(2) 50 more girls were attending school S in 1981 than in 1980.
--> Number of Girls attending school S in 1981 =2X+50. But, we don't know anything about the Number of Boys attending school S in 1981.
Combined we get,
(Number of Boys attending school S in 1981)/(Number of Girls attending school S in 1981) = (X+50)/(2X+50)
We get different values for this ratio depending on value of X:
e.g., If X = 1 the ratio is 51/52 ; If X=2 the ratio is 52/54
Hence, both statements combined is also insufficient.
Answer: E
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