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16 Feb 2016, 01:04
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Sue has only pennies, dimes, and nickels in a jar. The jar has at least 1 but no more than 4 pennies. If the jar has at least 1 nickel and 1 dime, which of the following could NOT be the total amount of money in the jar? (penny = 1 cent, nickel = 5 cents, dime = 10 cents)
A. 51 cents
B. 53 cents
C. 55 cents
D. 57 cents
E. 59 cents
A. 51 cents
B. 53 cents
C. 55 cents
D. 57 cents
E. 59 cents
25 Feb 2016, 00:29
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Bunuel
Sue has only pennies, dimes, and nickels in a jar. The jar has at least 1 but no more than 4 pennies. If the jar has at least 1 nickel and 1 dime, which of the following could NOT be the total amount of money in the jar?
A. 51 cents
B. 53 cents
C. 55 cents
D. 57 cents
E. 59 cents
A. 51 cents
B. 53 cents
C. 55 cents
D. 57 cents
E. 59 cents
First of all, we need to understand the conversion between pennies, dimes and nickels.
This might be obvious for the US citizens, but here is the conversion for the others.
1 dime = 10 cents
1 nickel = 5 cents
1 penny = 1cent
Do not worry, you are not expected to know this conversion on the GMAT.
Given: The jar has at least 1 but no more than 4 pennies. If the jar has at least 1 nickel and 1 dime
Required: Total amount in the jar.
Considering the options:
Option A. 51 cents - 4 dime, 2 nickel, 1 penny
Option B. 53 cents - 4 dime, 2 nickel, 3 penny
Option C. 55 cents - This is not possible
Option D. 57 cents - 5 dime, 1 nickel, 2 penny
Option E. 59 cents - 5 dimes, 1 nickel, 4 penny
Correct Option: C
25 Feb 2016, 00:55
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Let there be a pennies , b nickels and c dimes
so total amount can be 1+5b+10c cents to 4+5b+10c
as you can see the equation of total whenever divided by 5 would leave a remainder from 1 to 4 ( as pennies can only be from 1 to 4 and hence a is limited to values from 1 to 4)
So the total can never be divisible by 5 and hence only 55 that is c is the option which is divisible by 5.
so answer is C
so total amount can be 1+5b+10c cents to 4+5b+10c
as you can see the equation of total whenever divided by 5 would leave a remainder from 1 to 4 ( as pennies can only be from 1 to 4 and hence a is limited to values from 1 to 4)
So the total can never be divisible by 5 and hence only 55 that is c is the option which is divisible by 5.
so answer is C
