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06 May 2025, 00:30
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Difficulty:
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42% (02:30) correct
58%
(02:46)
wrong
based on 81
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The number of points a student gets on an exam is directly proportional to the number of multiple-choice questions he or she answers correctly, and also to the square of the number of essay questions he or she answers correctly. What is the score of a student who answers 20 multiple-choice questions correctly and 6 essay questions correctly?
(1) A student who answers 15 multiple-choice questions correctly and 2 essay questions correctly scores 24 points higher than a student who answers 12 multiple-choice questions correctly and 2 essay questions correctly.
(2) A student who answers 15 multiple-choice questions correctly and 3 essay questions correctly scores 20 points higher than a student who answers 5 multiple-choice questions correctly and 5 essay questions correctly.
(1) A student who answers 15 multiple-choice questions correctly and 2 essay questions correctly scores 24 points higher than a student who answers 12 multiple-choice questions correctly and 2 essay questions correctly.
(2) A student who answers 15 multiple-choice questions correctly and 3 essay questions correctly scores 20 points higher than a student who answers 5 multiple-choice questions correctly and 5 essay questions correctly.
Updated on: 06 May 2025, 01:31
Originally posted by ManifestDreamMBA on 06 May 2025, 01:13.
Last edited by ManifestDreamMBA on 06 May 2025, 01:31, edited 1 time in total.
Last edited by ManifestDreamMBA on 06 May 2025, 01:31, edited 1 time in total.
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Score = kM * E^2
20M & 6E = ?
Score = k20*6^2
We need value of k
S1
k15*4-k12*4=24
3k=6
k=2
Sufficient
S2
k15*9-k5*25=20
27k-25k=4
k=2
Sufficient
20M & 6E = ?
Score = k20*6^2
We need value of k
S1
k15*4-k12*4=24
3k=6
k=2
Sufficient
S2
k15*9-k5*25=20
27k-25k=4
k=2
Sufficient
Bunuel
06 May 2025, 01:20
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Hello,
let's take MCQ as m and essay as e
proportionality constant as K
score will be =k*m*e^2
we need value of k
1) As per statement 1
k*15*2^2-k*12*2^=24
we can get k
Hence sufficient
2) As per statement 2
k*15*3^2-k*5*5^2=20
we can get k
Hence sufficient
Hence both statement is sufficient
Answer is D
I hope it helps .
let's take MCQ as m and essay as e
proportionality constant as K
score will be =k*m*e^2
we need value of k
1) As per statement 1
k*15*2^2-k*12*2^=24
we can get k
Hence sufficient
2) As per statement 2
k*15*3^2-k*5*5^2=20
we can get k
Hence sufficient
Hence both statement is sufficient
Answer is D
I hope it helps .
