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How many integers between 10 and 20, inclusive, have a remai
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24 Aug 2020, 09:48
24 Aug 2020, 09:48
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How many integers between 10 and 20, inclusive, have a remainder of 1 or 2 when divided by 3 ?
A. 9
B. 8
C. 7
D. 4
E. 3
A. 9
B. 8
C. 7
D. 4
E. 3
Re: How many integers between 10 and 20, inclusive, have a remai
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24 Aug 2020, 09:50
24 Aug 2020, 09:50
Expert Reply
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
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Re: How many integers between 10 and 20, inclusive, have a remai
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24 Aug 2020, 10:09
24 Aug 2020, 10:09
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Carcass wrote:
How many integers between 10 and 20, inclusive, have a remainder of 1 or 2 when divided by 3 ?
A. 9
B. 8
C. 7
D. 4
E. 3
A. 9
B. 8
C. 7
D. 4
E. 3
Key concept: When we divide an integer by 3, the remainder must be 0, 1 or 2
There are 11 integers from 10 to 20, inclusive
Among those 11 integers, the numbers that leaves a remainder of 0 are: 12, 15, and 18
In other words, 3 numbers leave a remainder of 0 when divided by 3
11 - 3 = 8
So it must be the case that the remaining 8 integers leave a remainder of 1 or 2.
Answer: B
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