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if the remainder is 27 when an integer is divided by 36
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30 Jul 2020, 15:23
30 Jul 2020, 15:23
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12% (00:14) correct
87% (01:11) wrong based on 8 sessions
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Please help me with this GRE math question.
if the remainder is 27 when an integer is divided by 36, then the integer must be a multiple of which of the following integer?
A. 6
B. 7
C. 8
D. 9
E. 10
if the remainder is 27 when an integer is divided by 36, then the integer must be a multiple of which of the following integer?
A. 6
B. 7
C. 8
D. 9
E. 10
Re: if the remainder is 27 when an integer is divided by 36
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30 Jul 2020, 23:04
30 Jul 2020, 23:04
1
A number is divided by 36, and the remainder is 27. Thus, number should be 36+27= 63.
Now divide this number with the given options, 7 and 9 can divide this option.
Now, try another number which when divided by 36 can give 27 as remainder, 36*2 = 72 + 27 = 99.
Now, only 9 can divide 99 completely. Thus, answer is D
Now divide this number with the given options, 7 and 9 can divide this option.
Now, try another number which when divided by 36 can give 27 as remainder, 36*2 = 72 + 27 = 99.
Now, only 9 can divide 99 completely. Thus, answer is D
Re: if the remainder is 27 when an integer is divided by 36
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03 Aug 2020, 04:12
03 Aug 2020, 04:12
Let y and m be integers
y/36=m+(27/36)
here m is the whole number part of the division and 27 is the remainder
therefore
y=36m+27
y=9(4m+3)
So y is divisible by 9, because 9 is a factor of y
Final Answer: D
y/36=m+(27/36)
here m is the whole number part of the division and 27 is the remainder
therefore
y=36m+27
y=9(4m+3)
So y is divisible by 9, because 9 is a factor of y
Final Answer: D
