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07 Jun 2021, 07:45
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D
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Difficulty:
5%
(low)
Question Stats:
88% (01:12) correct
12%
(01:20)
wrong
based on 83
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Stella has some coins. She can bundle the coins equally into 6 bags and no leftovers. She can also pack the coins equally into 4 bags and no leftovers. However, when she bundles them into 7 bags, she has one coin left over. What is the least number of coins Stella could have ??
A. 12
B. 25
C. 29
D. 36
E. 48
A. 12
B. 25
C. 29
D. 36
E. 48
07 Jun 2021, 08:08
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The answer must be divisible by 6 and by 4, so by the LCM of 6 and 4, which is 12. Only A, D or E is possible. But we also need a remainder of 1 when we divide by 7, and of our candidates, answer D, 36, is the only remaining option.
The question should be worded a bit more carefully - for example, when it describes bundling the coins into 7 bags, it needs to say that an equal number of coins is placed in each bag.
Posted from my mobile device
The question should be worded a bit more carefully - for example, when it describes bundling the coins into 7 bags, it needs to say that an equal number of coins is placed in each bag.
Posted from my mobile device
07 Jun 2021, 08:23
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Bunuel
Solve incrementally...
She can bundle the coins equally into 6 bags and no leftovers... hmm... 6x
She can also pack the coins equally into 4 bags and no leftovers... hmm... 4y
However, when she bundles them into 7 bags, she has one coin left over... hmm... 7z+1
6x = 4y = 7z+1
The right answer option should be divisible be 1 more than multiple of 7.
Option A, B and E - reject.
Also, the right answer option should be divisible by 6, or 4, or both.
Option C - reject.
Right answer - Option D.
