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29 Jun 2020, 02:55
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E
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Difficulty:
35%
(medium)
Question Stats:
62% (01:07) correct
38%
(01:08)
wrong
based on 246
sessions
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Is ABCD a rectangle?
(1) The perimeter of ABCD is equal to twice the length of one side plus twice the length of any adjacent side.
(2) AC bisects BD
(1) The perimeter of ABCD is equal to twice the length of one side plus twice the length of any adjacent side.
(2) AC bisects BD
yashikaaggarwal
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29 Jun 2020, 03:09
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To Find: Is ABCD a rectangle?
(1) The perimeter of ABCD is equal to twice the length of one side plus twice the length of any adjacent side.
=> Square, Rectangle, Rhombus, Parallelogram all satisfy the above constraint.
(Insufficient)
(2) AC bisects BD.
=> paralellogram, rectangle, rhombus, square all diagonals bisect each other. (Insufficient)
1&2 together: We have four quadrilaterals satisfying both constraints, so can't conclude that it is rectangle specifically.
IMO E
(1) The perimeter of ABCD is equal to twice the length of one side plus twice the length of any adjacent side.
=> Square, Rectangle, Rhombus, Parallelogram all satisfy the above constraint.
(Insufficient)
(2) AC bisects BD.
=> paralellogram, rectangle, rhombus, square all diagonals bisect each other. (Insufficient)
1&2 together: We have four quadrilaterals satisfying both constraints, so can't conclude that it is rectangle specifically.
IMO E
29 Jun 2020, 03:11
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Explanation:
Is ABCD is rectangle
Statement 1: The perimeter of ABCD is equal to twice the length of one side plus twice the length of any adjacent side.
let one side is x, adjacent side is y
so, Perimeter is 2x + 2y.
But still, we don't know anything about the angles of ABCD.
Not Sufficient
Statement 2: AC bisects BD
It can or cannot be a rectangle. don't know anything about the angles of ABCD
Not Sufficient
From 1 & 2,
Still don't know anything about the angles of ABCD, as it is required for rectangle confirmation.
IMO-E
Is ABCD is rectangle
Statement 1: The perimeter of ABCD is equal to twice the length of one side plus twice the length of any adjacent side.
let one side is x, adjacent side is y
so, Perimeter is 2x + 2y.
But still, we don't know anything about the angles of ABCD.
Not Sufficient
Statement 2: AC bisects BD
It can or cannot be a rectangle. don't know anything about the angles of ABCD
Not Sufficient
From 1 & 2,
Still don't know anything about the angles of ABCD, as it is required for rectangle confirmation.
IMO-E
