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Difficulty:
15%
(low)
Question Stats:
85% (01:10) correct
15%
(01:29)
wrong
based on 54
sessions
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If rectangle A has width w and length l, and w > l, what is the value of w?
(1) The area of rectangle A = 24
(2) The perimeter of rectangle A = 20
(1) The area of rectangle A = 24
(2) The perimeter of rectangle A = 20
Updated on: 01 Jun 2022, 08:22
Originally posted by Abhishekgmat87 on 14 Apr 2022, 11:08.
Last edited by Abhishekgmat87 on 01 Jun 2022, 08:22, edited 2 times in total.
Last edited by Abhishekgmat87 on 01 Jun 2022, 08:22, edited 2 times in total.
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Bunuel
Statement 1 - w*l = 24
w,l can be (8,3) or (6,4)
No unique value of w. Not sufficient
Statement 2 - w + l = 10
w, l can be (9,1), (8,2), (7,3), (6,4) or several other non integral values
Not sufficient
Combining both, w,l will take value 6 and 4 only
Sufficient
Option C
31 May 2022, 12:30
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Step 1: Analyse Question Stem
Rectangle A has width w and length l, such that w > l.
The value of w has to be calculated.
Step 2: Analyse Statements Independently (And eliminate options) – AD / BCE
Statement 1: The area of rectangle A = 24
Area of a rectangle = Length * Width
Therefore, area of rectangle A = l * w
Hence, l * w = 24. It is also known that w > l.
Therefore, w = 6 and l = 4 could be one possibility. w = 8 and l = 3 could be another. Clearly, there are infinite combinations of w and l that satisfy the equation above, because the length and width of a rectangle need not be integers.
We do not have a unique figure from the information given in statement 1, therefore we cannot find a unique value for w.
The data in statement 1 is insufficient to find a unique value for w.
Statement 1 alone is insufficient. Answer options A and D can be eliminated.
Statement 2: The perimeter of rectangle A = 20
Perimeter of a rectangle = 2 (Length + Width)
Therefore, perimeter of rectangle = 2(l + w)
Hence, 2(l + w) = 20; this means l + w = 10.
Since w > l, w = 6 and l = 4 could be one possibility. w = 8 and l = 2 could be another possibility. Again, there are infinite combinations of w and l that satisfy the equation.
We do not have a unique figure from the information given in statement 2, therefore we cannot find a unique value for w.
The data in statement 2 is insufficient to find a unique value for w.
Statement 2 alone is insufficient. Answer option B can be eliminated.
Step 3: Analyse Statements by combining
From statement 1: The area of rectangle A = 24
From statement 2: The perimeter of rectangle A = 20
Therefore, l * w = 24 and l + w = 10.
We have two independent equations in two unknowns, l and w. Therefore, a unique value can be found out for l and w.
The combination of statements is sufficient to find a unique value for w.
Statements 1 and 2 together are sufficient. Answer option E can be eliminated.
The correct answer option is C.
Rectangle A has width w and length l, such that w > l.
The value of w has to be calculated.
Step 2: Analyse Statements Independently (And eliminate options) – AD / BCE
Statement 1: The area of rectangle A = 24
Area of a rectangle = Length * Width
Therefore, area of rectangle A = l * w
Hence, l * w = 24. It is also known that w > l.
Therefore, w = 6 and l = 4 could be one possibility. w = 8 and l = 3 could be another. Clearly, there are infinite combinations of w and l that satisfy the equation above, because the length and width of a rectangle need not be integers.
We do not have a unique figure from the information given in statement 1, therefore we cannot find a unique value for w.
The data in statement 1 is insufficient to find a unique value for w.
Statement 1 alone is insufficient. Answer options A and D can be eliminated.
Statement 2: The perimeter of rectangle A = 20
Perimeter of a rectangle = 2 (Length + Width)
Therefore, perimeter of rectangle = 2(l + w)
Hence, 2(l + w) = 20; this means l + w = 10.
Since w > l, w = 6 and l = 4 could be one possibility. w = 8 and l = 2 could be another possibility. Again, there are infinite combinations of w and l that satisfy the equation.
We do not have a unique figure from the information given in statement 2, therefore we cannot find a unique value for w.
The data in statement 2 is insufficient to find a unique value for w.
Statement 2 alone is insufficient. Answer option B can be eliminated.
Step 3: Analyse Statements by combining
From statement 1: The area of rectangle A = 24
From statement 2: The perimeter of rectangle A = 20
Therefore, l * w = 24 and l + w = 10.
We have two independent equations in two unknowns, l and w. Therefore, a unique value can be found out for l and w.
The combination of statements is sufficient to find a unique value for w.
Statements 1 and 2 together are sufficient. Answer option E can be eliminated.
The correct answer option is C.
