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02 Sep 2025, 22:00
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D
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Difficulty:
25%
(medium)
Question Stats:
83% (01:32) correct
18%
(01:32)
wrong
based on 80
sessions
History
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Not Attempted Yet
A jar contains 100 glass beads, of which 56 are pink and 44 are blue. If 24 beads are removed from the jar, how many of the beads remaining are blue?
(1) After the 24 beads are removed, the number of pink beads remaining in the bag equals the number of blue beads remaining in the bag.
(2) Of the beads removed, the ratio of the number of pink beads to the number of blue beads is 3 to 1.
(1) After the 24 beads are removed, the number of pink beads remaining in the bag equals the number of blue beads remaining in the bag.
(2) Of the beads removed, the ratio of the number of pink beads to the number of blue beads is 3 to 1.
03 Sep 2025, 05:54
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Bunuel
There are 100 beads in the jar, out of which 56 are pink and the rest 44 beads are Blue.
Statement 1:
(1) After the 24 beads are removed, the number of pink beads remaining in the bag equals the number of blue beads remaining in the bag.
After removing the 24 beads the quantity of pink beads equals the quantity of blue beads.
Let’s bring the pink beads equal to blue, by removing 12 beads from it. Thus 56-12 = 44 pink beads.
We are yet to remove 12 more beads, to bring equal quantity, let’s remove 6 beads each from the blue and pink beads.
Thus the number of pink beads = 44-6 = 38 beads = Number of blue beads = 38 beads.
Hence, Sufficient
Statement 2:
(2) Of the beads removed, the ratio of the number of pink beads to the number of blue beads is 3 to 1.
Of the beads removed, the ratio of pink : Blue = 3x : 1x . Totally 4x = 24 beads , thus x = 6.
So, we need to remove 18 beads from the pink and 6 beads from the blue.
Hence, Sufficient
Option D
03 Sep 2025, 08:15
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Statement 1: After the 24 beads are removed, the number of pink beads remaining in the bag equals the number of blue beads remaining in the bag.
Let the number of pink beads removed is X, then blue beads removed will be 24-X
Question says, after removal, beads remaining are equal-->
(56-X)=(44-(24-X))--->X=18 Remainig blue is 56-18=38 Sufficient
Statement 2: Of the beads removed, the ratio of the number of pink beads to the number of blue beads is 3 to 1.
This says ratio is 3:1, thus there are 4 parts, which equals 24, 4x=24, x=6, Blue beads removed=3x=18
Sufficient
Hence answer-D
Let the number of pink beads removed is X, then blue beads removed will be 24-X
Question says, after removal, beads remaining are equal-->
(56-X)=(44-(24-X))--->X=18 Remainig blue is 56-18=38 Sufficient
Statement 2: Of the beads removed, the ratio of the number of pink beads to the number of blue beads is 3 to 1.
This says ratio is 3:1, thus there are 4 parts, which equals 24, 4x=24, x=6, Blue beads removed=3x=18
Sufficient
Hence answer-D
