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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:
55%
(hard)
Question Stats:
60% (01:54) correct
40%
(02:04)
wrong
based on 67
sessions
History
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Time
Result
Not Attempted Yet
Dick has adopted a school in the inner city. Each month he provides a certain amount of money to be divided among the students who make the honor roll. How much money does Dick donate each month?
(1) If there were 5 less honor students next month it would result in a $2 increase per honor student.
(2) If there were 4 more honor students it would result in a $1 cut per honor student.
(1) If there were 5 less honor students next month it would result in a $2 increase per honor student.
(2) If there were 4 more honor students it would result in a $1 cut per honor student.
09 Sep 2025, 01:27
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Bunuel
Let the total number of students be N and the price per student be P.
The amount donated by Dick each month = N*P
we need to find NP.
Statement 1:
(1) If there were 5 less honor students next month it would result in a $2 increase per honor student.
NP / (N-5) = (P+2)
NP = NP + 2N - 5P -10
2N = 5P+10
Two unknown variables hence insufficient
Statement 2:
(2) If there were 4 more honor students it would result in a $1 cut per honor student.
NP / (N+4) = (P-1)
NP = NP - N + 4P - 4
N = 4P -4
Two unknown variables, hence Insufficient
Combining both statements , we get
2N = 5P+10
Multiplying the equation N = 4P -4 by 2, we get 2 N = 8P - 8
equating we get 5P+10 = 8P - 8
P = 6 and N = 20 respectively.
Hence, Sufficient .
Option C
09 Sep 2025, 10:08
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Attempted this question with mental mappig and took 90 seconds
We need to know money (M) which dick donates per month to Let's say (S) students
Statement 1: \(\frac{M}{S-5}\)=\(\frac{M}{S}\)+$2
Statement 2: \(\frac{M}{(S+4)}\)=\(\frac{M}{S}\)-$1
Both 1 and 2 alone is not sufficient as they are individual equations in 2 variables. Combining them, we will be able to solve for M and S
Hence both together, answer D
We need to know money (M) which dick donates per month to Let's say (S) students
Statement 1: \(\frac{M}{S-5}\)=\(\frac{M}{S}\)+$2
Statement 2: \(\frac{M}{(S+4)}\)=\(\frac{M}{S}\)-$1
Both 1 and 2 alone is not sufficient as they are individual equations in 2 variables. Combining them, we will be able to solve for M and S
Hence both together, answer D
