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n is a positive integer. n is not divisible by 4 . n is not divisible
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27 Jan 2026, 05:35
27 Jan 2026, 05:35
Expert Reply
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Question Stats:
86% (01:05) correct
13% (00:45) wrong based on 15 sessions
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n is a positive integer.
n is not divisible by 4 .
n is not divisible by 5 .
The quantity in Column A is greater
The quantity in Column B is greater
The two quantities are equal
The relationship cannot be determined from the information given
n is not divisible by 4 .
n is not divisible by 5 .
Quantity A |
Quantity B |
The remainder when $n$ is divided by 4 |
The remainder when $n$ is divided by 5 |
The quantity in Column A is greater
The quantity in Column B is greater
The two quantities are equal
The relationship cannot be determined from the information given
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Re: n is a positive integer. n is not divisible by 4 . n is not divisible
[#permalink]
12 Feb 2026, 07:50
12 Feb 2026, 07:50
Expert Reply
To solve Quantitative Comparison questions where the relationship isn't immediately obvious, the best strategy is to pick numbers that satisfy the given conditions and see if the relationship between the quantities changes.
Conditions:
1. n is a positive integer.
2. $n$ is not divisible by 4 (Remainders can be 1,2 , or 3 ).
3. $n$ is not divisible by 5 (Remainders can be $1,2,3$, or 4 ).
Scenario 1: Let $\(n=6\)$
- Is 6 divisible by 4 ? No. Is 6 divisible by 5 ? No. (Conditions met).
- Quantity A: $\(6 \div 4=1\)$ with a remainder of 2 .
- Quantity B: $\(6 \div 5=1\)$ with a remainder of 1 .
- In this case, Quantity A > Quantity B.
Scenario 2: Let $n=1$
- Is 1 divisible by 4 ? No. Is 1 divisible by 5 ? No. (Conditions met).
- Quantity A: $\(1 \div 4=0\)$ with a remainder of 1 .
- Quantity B: $\(1 \div 5=0\)$ with a remainder of 1 .
- In this case, Quantity A = Quantity B.
Scenario 3: Let $n=9$
- Is 9 divisible by 4 ? No. Is 9 divisible by 5 ? No. (Conditions met).
- Quantity A: $\(9 \div 4=2\)$ with a remainder of 1 .
- Quantity B: $\(9 \div 5=1\)$ with a remainder of 4 .
- In this case, Quantity A < Quantity B.
Conditions:
1. n is a positive integer.
2. $n$ is not divisible by 4 (Remainders can be 1,2 , or 3 ).
3. $n$ is not divisible by 5 (Remainders can be $1,2,3$, or 4 ).
Scenario 1: Let $\(n=6\)$
- Is 6 divisible by 4 ? No. Is 6 divisible by 5 ? No. (Conditions met).
- Quantity A: $\(6 \div 4=1\)$ with a remainder of 2 .
- Quantity B: $\(6 \div 5=1\)$ with a remainder of 1 .
- In this case, Quantity A > Quantity B.
Scenario 2: Let $n=1$
- Is 1 divisible by 4 ? No. Is 1 divisible by 5 ? No. (Conditions met).
- Quantity A: $\(1 \div 4=0\)$ with a remainder of 1 .
- Quantity B: $\(1 \div 5=0\)$ with a remainder of 1 .
- In this case, Quantity A = Quantity B.
Scenario 3: Let $n=9$
- Is 9 divisible by 4 ? No. Is 9 divisible by 5 ? No. (Conditions met).
- Quantity A: $\(9 \div 4=2\)$ with a remainder of 1 .
- Quantity B: $\(9 \div 5=1\)$ with a remainder of 4 .
- In this case, Quantity A < Quantity B.
gmatclubot
Re: n is a positive integer. n is not divisible by 4 . n is not divisible [#permalink]
12 Feb 2026, 07:50
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