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If 2 is the remainder when m is divided by 5, what is the remainder when 3m is divided by 5?
- a)0
- b)1
- c)2
- d)3
- e)4
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If 2 is the remainder when m is divided by 5, what is the remainder wh...
Step 1: Analyze the Question
This question tests our ability to think critically about the characteristics of remainders in division We are told that some number, m, has a remainder of 2 when divided by 5.
This question tests our ability to think critically about the characteristics of remainders in division We are told that some number, m, has a remainder of 2 when divided by 5.
Step 2: State the Task
We can use our knowledge of number properties to take a particularly strategic approach to this problem. The key will be to pick simple, permissible numbers and apply them to the problem in the question stem.
We can use our knowledge of number properties to take a particularly strategic approach to this problem. The key will be to pick simple, permissible numbers and apply them to the problem in the question stem.
Step 3: Approach Strategically
Ask yourself what numbers would be permissible for m. Since m has a remainder of 2 when divided by 5, m could be any number 2 greater than a multiple of 5. The simplest number to substitute for m is 7. We know that 5 goes into 7 one time with a remainder of 2. Now, apply 7 to the rest of the question stem: 3 m divided by 5. Well, 3 x 7 = 21, and 21 divided by 5 would leave a remainder of 1. That's (B). Picking Numbers is the most efficient approach to this common GMAT question type.
Ask yourself what numbers would be permissible for m. Since m has a remainder of 2 when divided by 5, m could be any number 2 greater than a multiple of 5. The simplest number to substitute for m is 7. We know that 5 goes into 7 one time with a remainder of 2. Now, apply 7 to the rest of the question stem: 3 m divided by 5. Well, 3 x 7 = 21, and 21 divided by 5 would leave a remainder of 1. That's (B). Picking Numbers is the most efficient approach to this common GMAT question type.
Step 4: Confirm Your Answer
To double-check your work, you could test any other permissible number for m: 12, 17, 22, etc. If you tried 12, you would find that 3 x 12 = 36 and 36 divided by 5 leaves a remainder of 1. This confirms that (B) is the correct choice.
To double-check your work, you could test any other permissible number for m: 12, 17, 22, etc. If you tried 12, you would find that 3 x 12 = 36 and 36 divided by 5 leaves a remainder of 1. This confirms that (B) is the correct choice.
Most Upvoted Answer
If 2 is the remainder when m is divided by 5, what is the remainder wh...
Understanding the Problem
To solve the problem, we first need to analyze the relationship between m and 5 based on the given information.
Given Condition
- When m is divided by 5, the remainder is 2.
- This can be expressed mathematically as: m = 5k + 2, where k is some integer.
Finding 3m
Now, we need to determine what happens when we multiply m by 3.
- 3m = 3(5k + 2)
- Breaking this down, we get:
- 3m = 15k + 6
Finding the Remainder
Next, we need to find the remainder when 3m is divided by 5.
- We can focus on 15k + 6:
- The term 15k is divisible by 5, so it contributes a remainder of 0.
- Now, we only need to consider the number 6.
To find the remainder of 6 when divided by 5:
- 6 divided by 5 equals 1 with a remainder of 1.
Final Conclusion
Therefore, the remainder when 3m is divided by 5 is 1.
Answer
The correct answer is option 'B'.
To solve the problem, we first need to analyze the relationship between m and 5 based on the given information.
Given Condition
- When m is divided by 5, the remainder is 2.
- This can be expressed mathematically as: m = 5k + 2, where k is some integer.
Finding 3m
Now, we need to determine what happens when we multiply m by 3.
- 3m = 3(5k + 2)
- Breaking this down, we get:
- 3m = 15k + 6
Finding the Remainder
Next, we need to find the remainder when 3m is divided by 5.
- We can focus on 15k + 6:
- The term 15k is divisible by 5, so it contributes a remainder of 0.
- Now, we only need to consider the number 6.
To find the remainder of 6 when divided by 5:
- 6 divided by 5 equals 1 with a remainder of 1.
Final Conclusion
Therefore, the remainder when 3m is divided by 5 is 1.
Answer
The correct answer is option 'B'.
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If 2 is the remainder when m is divided by 5, what is the remainder when 3m is divided by 5?a)0b)1c)2d)3e)4Correct answer is option 'B'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If 2 is the remainder when m is divided by 5, what is the remainder when 3m is divided by 5?a)0b)1c)2d)3e)4Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 2 is the remainder when m is divided by 5, what is the remainder when 3m is divided by 5?a)0b)1c)2d)3e)4Correct answer is option 'B'. Can you explain this answer?.
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