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If a positive integer n is divided by 5, the remainder is 3. Which o
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04 Jul 2023, 04:26
04 Jul 2023, 04:26
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If a positive integer ‘n’ is divided by 5, the remainder is 3. Which of the following can be the unit’s digit of n?
A. 3
B. 4
C. 5
D. 6
E. 7
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A. 3
B. 4
C. 5
D. 6
E. 7
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
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Re: If a positive integer n is divided by 5, the remainder is 3. Which o
[#permalink]
04 Jul 2023, 10:11
04 Jul 2023, 10:11
1
Expert Reply
To determine the possible unit's digit of the positive integer 'n' when divided by 5, we need to consider the numbers in the form of 5k + 3, where k is a non-negative integer.
Let's analyze the given options:
A. 3: If the unit's digit is 3, the number can be expressed as 5k + 3. This is a valid possibility since it satisfies the condition.
B. 4: If the unit's digit is 4, the number can be expressed as 5k + 4. However, this does not satisfy the given condition because the remainder when dividing by 5 would be 4, not 3.
C. 5: If the unit's digit is 5, the number can be expressed as 5k + 5. However, this also does not satisfy the given condition because the remainder when dividing by 5 would be 0, not 3.
D. 6: If the unit's digit is 6, the number can be expressed as 5k + 6. This does not satisfy the condition since the remainder when dividing by 5 would be 1, not 3.
E. 7: If the unit's digit is 7, the number can be expressed as 5k + 7. This also does not satisfy the given condition because the remainder when dividing by 5 would be 2, not 3.
From the options given, only option A (3) satisfies the condition. Therefore, the possible unit's digit of 'n' is 3.
Answer: A
Let's analyze the given options:
A. 3: If the unit's digit is 3, the number can be expressed as 5k + 3. This is a valid possibility since it satisfies the condition.
B. 4: If the unit's digit is 4, the number can be expressed as 5k + 4. However, this does not satisfy the given condition because the remainder when dividing by 5 would be 4, not 3.
C. 5: If the unit's digit is 5, the number can be expressed as 5k + 5. However, this also does not satisfy the given condition because the remainder when dividing by 5 would be 0, not 3.
D. 6: If the unit's digit is 6, the number can be expressed as 5k + 6. This does not satisfy the condition since the remainder when dividing by 5 would be 1, not 3.
E. 7: If the unit's digit is 7, the number can be expressed as 5k + 7. This also does not satisfy the given condition because the remainder when dividing by 5 would be 2, not 3.
From the options given, only option A (3) satisfies the condition. Therefore, the possible unit's digit of 'n' is 3.
Answer: A
gmatclubot
Re: If a positive integer n is divided by 5, the remainder is 3. Which o [#permalink]
04 Jul 2023, 10:11
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