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28 Apr 2020, 04:26
Kudos
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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:
5%
(low)
Question Stats:
89% (01:15) correct
11%
(01:24)
wrong
based on 663
sessions
History
Date
Time
Result
Not Attempted Yet
Each of the 120 students in a certain dormitory is either a junior or a senior. How many of the juniors have credit cards?
(1) 2/3 of the 120 juniors and seniors have credit cards.
(2) The number of seniors who have credit cards is 20 more than the number of juniors who have credit cards.
ID: 700298
DS37130.02
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
(1) 2/3 of the 120 juniors and seniors have credit cards.
(2) The number of seniors who have credit cards is 20 more than the number of juniors who have credit cards.
ID: 700298
DS37130.02
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
Solving this question helps.
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28 Apr 2020, 10:46
Kudos
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J+S = 120
The number of juniors who got Credit cards= x
The number of seniors who got Credit cards= y
Statement 1 -
\(x+y = \frac{2}{3}(120) = 80\)
We can't find x
Insufficient
Statement 2 -
y = x+20
Again 1 equation and 2 unknowns
Insufficient
Combining both statement
We have 2 equations and 2 unknowns. We can find x
Sufficient
The number of juniors who got Credit cards= x
The number of seniors who got Credit cards= y
Statement 1 -
\(x+y = \frac{2}{3}(120) = 80\)
We can't find x
Insufficient
Statement 2 -
y = x+20
Again 1 equation and 2 unknowns
Insufficient
Combining both statement
We have 2 equations and 2 unknowns. We can find x
Sufficient
parkhydel
30 Sep 2025, 08:27
Kudos
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Automated notice from GMAT Club BumpBot:
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
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A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
