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02 Apr 2024, 01:30
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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:
25%
(medium)
Question Stats:
83% (01:12) correct
17%
(01:20)
wrong
based on 103
sessions
History
Date
Time
Result
Not Attempted Yet
Madge paid A dollars for R bananas. Dean paid B dollars for S bananas. Which one of them paid a higher price-per-banana?
(1) B > A
(2) R > S
(1) B > A
(2) R > S
02 Apr 2024, 05:53
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From the question stem we get that Madge paid A dollars for R bananas, which means that her price per banana is \(\frac{A}{R}\), while Dean paid B dollars for S bananas, which means that his price per banana is \(\frac{B}{S}\).
To answer the question one needs to evaluate whether \(\frac{A}{R}\) or \(\frac{B}{S}\) is greater.
(1) B > A
This statement provides an inequality for the numerators of both fractions. While one numerator is larger than the other, their respective denominators, together with the numerators, will determine which fraction is bigger.
INSUFFICIENT
(2) R > S
This statement provides an inequality for the denominators of both fractions. As with the previous statement, there is not enough information to determine whether Madge or Dean spent more per banana.
INSUFFICIENT
(1+2)
When used together, one sees that Dean's numerator is larger than Madge's, while his denominator is smaller than Madge's which means that his price per banana has to be higher than Madges.
SUFFICIENT
ANSWER C
To answer the question one needs to evaluate whether \(\frac{A}{R}\) or \(\frac{B}{S}\) is greater.
(1) B > A
This statement provides an inequality for the numerators of both fractions. While one numerator is larger than the other, their respective denominators, together with the numerators, will determine which fraction is bigger.
INSUFFICIENT
(2) R > S
This statement provides an inequality for the denominators of both fractions. As with the previous statement, there is not enough information to determine whether Madge or Dean spent more per banana.
INSUFFICIENT
(1+2)
When used together, one sees that Dean's numerator is larger than Madge's, while his denominator is smaller than Madge's which means that his price per banana has to be higher than Madges.
SUFFICIENT
ANSWER C
poojaarora1818
Joined: 30 Jul 2019
Last visit: 01 May 2026
Posts: 1,634
Given Kudos: 3,837
Location: India
Concentration: General Management, Economics
Schools: Duke '27 Haas '27 Kelley '27 Kellogg '27 McDonough '27
GPA: 3
WE:Human Resources (Real Estate)
Products:
02 Apr 2024, 12:58
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Madge paid A dollars for R bananas. Dean paid B dollars for S bananas. Which one of them paid a higher price-per-banana?
(1) B > A
(2) R > S
Question Stem analysis
Let total amount paid by Madge = $A and No. of bananas bought by Madge = R
Total amount paid by Dean = $B and No. of bananas bought by Dean = S
So, price per banana paid by Madge = A/R and price per banana paid by Dean = B/S
To Find : Is A/R >B/S or vice-versa
Statement 1
B>A Insufficient
Statement 2
R>S Insufficient
If we combine both the statements then we get the conclusive answer. So, Sufficient
Option C
(1) B > A
(2) R > S
Question Stem analysis
Let total amount paid by Madge = $A and No. of bananas bought by Madge = R
Total amount paid by Dean = $B and No. of bananas bought by Dean = S
So, price per banana paid by Madge = A/R and price per banana paid by Dean = B/S
To Find : Is A/R >B/S or vice-versa
Statement 1
B>A Insufficient
Statement 2
R>S Insufficient
If we combine both the statements then we get the conclusive answer. So, Sufficient
Option C
