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Balls are distributed one at a time, into six baskets numbered 1 to 6
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25 Mar 2025, 00:45
25 Mar 2025, 00:45
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Balls are distributed one at a time, into six baskets numbered 1 to 6 . The $\(1^{\text {st \)$ ball goes into the basket numbered one, $\(2^{\text {nd \)$ ball goes into the basket numbered two and so on. If this is repeated for all the other balls then the $\(74^{\text {th \)$ ball will go into which basket?
(A) 5
(B) 4
(C) 3
(D) 2
(E) 1
(A) 5
(B) 4
(C) 3
(D) 2
(E) 1
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Re: Balls are distributed one at a time, into six baskets numbered 1 to 6
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30 Mar 2025, 04:00
30 Mar 2025, 04:00
Expert Reply
Since there are only 6 numbered baskets in which the balls are being kept, the pattern for the balls going in boxes numbered 1 to 6 is of 6 steps i.e. every $\(6^{\text {th \)$ ball will go into basket numbered 6 .
So, the $\(74^{\text {th (=6 \times 12+2)\)$ ball must go in the basket numbered 2 as 74 is 2 more than the multiple of 6 .
Hence the answer is (D).
So, the $\(74^{\text {th (=6 \times 12+2)\)$ ball must go in the basket numbered 2 as 74 is 2 more than the multiple of 6 .
Hence the answer is (D).
gmatclubot
Re: Balls are distributed one at a time, into six baskets numbered 1 to 6 [#permalink]
30 Mar 2025, 04:00
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