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23 Apr 2021, 01:30
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D
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Difficulty:
55%
(hard)
Question Stats:
47% (01:01) correct
53%
(00:57)
wrong
based on 156
sessions
History
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Time
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Not Attempted Yet
Are all sides of quadrilateral ABCD equal?
(1) The diagonals of ABCD bisect each other at right angles.
(2) ABCD is a parallelogram with three equal sides.
(1) The diagonals of ABCD bisect each other at right angles.
(2) ABCD is a parallelogram with three equal sides.
23 Apr 2021, 03:20
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Are all sides of quadrilateral ABCD equal?
Statement (1) The diagonals of ABCD bisect each other at right angles.
Figure is a rhombus i.e all four sides are equal
Hence, sufficient
statement (2) ABCD is a parallelogram with three equal sides.
If three sides are equal of a parallelogram, fourth side got be of the same length as other three.
Hence, Sufficient
D is the answer IMO
Statement (1) The diagonals of ABCD bisect each other at right angles.
Figure is a rhombus i.e all four sides are equal
Hence, sufficient
statement (2) ABCD is a parallelogram with three equal sides.
If three sides are equal of a parallelogram, fourth side got be of the same length as other three.
Hence, Sufficient
D is the answer IMO
Updated on: 24 Apr 2021, 02:33
Originally posted by TarunKumar1234 on 23 Apr 2021, 06:10.
Last edited by TarunKumar1234 on 24 Apr 2021, 02:33, edited 1 time in total.
Last edited by TarunKumar1234 on 24 Apr 2021, 02:33, edited 1 time in total.
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I misread the stat 1. Corrected!
Are all sides of quadrilateral ABCD equal?
Stat1: The diagonals of ABCD bisect each other at right angles.
It can be a rhombus or Square. So, all sides are equal. Not sufficient.
Note- In kite, diagonals makes right angle, but doesn't bisect each other.
Stat2: ABCD is a parallelogram with three equal sides.
In parallelogram, opposite sides are equal and parallel. If 3 sides are equal then 4th sides will be equal too. Sufficient.
So, I think B.
Are all sides of quadrilateral ABCD equal?
Stat1: The diagonals of ABCD bisect each other at right angles.
It can be a rhombus or Square. So, all sides are equal. Not sufficient.
Note- In kite, diagonals makes right angle, but doesn't bisect each other.
Stat2: ABCD is a parallelogram with three equal sides.
In parallelogram, opposite sides are equal and parallel. If 3 sides are equal then 4th sides will be equal too. Sufficient.
So, I think B.
