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Stella has some coins. She can bundle the coins equally into 6 bags
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08 Apr 2021, 11:00
08 Apr 2021, 11:00
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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
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 12
B. 25
C. 29
D. 36
E. 48
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Re: Stella has some coins. She can bundle the coins equally into 6 bags
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09 Apr 2021, 02:50
09 Apr 2021, 02:50
1
Takes 10-15 seconds to answer this one. You too can do this.
This means that the number of coins she has is a multiple of 6.
Again, the number of coins is a multiple of 4 and 6. Least number of coins must be LCM of 4, and 6.
The number of coins when divided by 7 leaves remainder 1, and is multiple of both 4, and 6.
Look for the answer choice. Don't necessarily have to solve this.
B and C cannot be the answer as 25 and 29 are not multiples of 6 and 4.
A, D, and E give us multiples of 6 and 4 but only one D give us a multiple which also leaves 1 as a remainder when divided by 7.
Hence, D is the correct answer.
Quote:
She can bundle the coins equally into 6 bags and no leftovers.
This means that the number of coins she has is a multiple of 6.
Quote:
pack the coins equally into 4 bags and no leftovers
Again, the number of coins is a multiple of 4 and 6. Least number of coins must be LCM of 4, and 6.
Quote:
7 bags, she has one coin left over.
The number of coins when divided by 7 leaves remainder 1, and is multiple of both 4, and 6.
Look for the answer choice. Don't necessarily have to solve this.
B and C cannot be the answer as 25 and 29 are not multiples of 6 and 4.
A, D, and E give us multiples of 6 and 4 but only one D give us a multiple which also leaves 1 as a remainder when divided by 7.
Hence, D is the correct answer.
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Re: Stella has some coins. She can bundle the coins equally into 6 bags
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10 Jan 2022, 09:38
10 Jan 2022, 09:38
1
She can bundle the coins equally into 6 bags and no leftovers => Coins are a multiple of 6
She can also pack the coins equally into 4 bags and no leftovers => Coins are a multiple of 4 too
=> Coins are multiple of 4 and 6 = Multiple of LCM(4,6) = Multiple of 12
Only choices left are A, D, E
when she bundles them into 7 bags, she has one coin left over => When divided by 7 gives a remainder of 1
Out of 12, 36 and 48. Only 36 gives remainder of 1 when divided by 7
So, Answer will be D
Hope it helps!
Watch the following video to learn the Basics of Remainders
She can also pack the coins equally into 4 bags and no leftovers => Coins are a multiple of 4 too
=> Coins are multiple of 4 and 6 = Multiple of LCM(4,6) = Multiple of 12
Only choices left are A, D, E
when she bundles them into 7 bags, she has one coin left over => When divided by 7 gives a remainder of 1
Out of 12, 36 and 48. Only 36 gives remainder of 1 when divided by 7
So, Answer will be D
Hope it helps!
Watch the following video to learn the Basics of Remainders
