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How many positive integers less than 100 leave a remainder of 1 when d
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07 Jul 2023, 05:38
07 Jul 2023, 05:38
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Question Stats:
21% (00:47) correct
78% (00:57) wrong based on 33 sessions
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How many positive integers less than 100 leave a remainder of 1 when divided by 15?
A. 4
B. 5
C. 6
D. 7
E. 8
Post A Detailed Correct Solution For The Above Questions And Get Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE NUMBER PROPERTIES
A. 4
B. 5
C. 6
D. 7
E. 8
Post A Detailed Correct Solution For The Above Questions And Get Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE NUMBER PROPERTIES
Re: How many positive integers less than 100 leave a remainder of 1 when d
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09 Jul 2023, 06:55
09 Jul 2023, 06:55
1
Answer
Answer: C
Step-by-step explanation:
The numbers we are looking for have the formula 15n+1 < 100, where n is a positive integer.
Putting n=1,
15×1+1=16
Putting n=2,
15×2+1=31
Putting n=3,
15×3+1=46
Putting n=4,
15×4+1=61
Putting n=5,
15×5+1=76
Putting n=6,
15×6+1=91
Putting n=7,
15×2+1=106
But 106 > 100, so it's not possible.
Therefore, there are 6 possible numbers.
Answer: C
Step-by-step explanation:
The numbers we are looking for have the formula 15n+1 < 100, where n is a positive integer.
Putting n=1,
15×1+1=16
Putting n=2,
15×2+1=31
Putting n=3,
15×3+1=46
Putting n=4,
15×4+1=61
Putting n=5,
15×5+1=76
Putting n=6,
15×6+1=91
Putting n=7,
15×2+1=106
But 106 > 100, so it's not possible.
Therefore, there are 6 possible numbers.
Re: How many positive integers less than 100 leave a remainder of 1 when d
[#permalink]
19 Jul 2023, 03:17
19 Jul 2023, 03:17
2
There is also integer 1 which leaves remainder 1, so answer is D(7)
