Which Of The Following Is A True Statement? GMAT Problem Solving

Question: Which of the following is a true statement?

1. The product of two negative numbers is negative.
2. The product of one negative and one positive number is positive.
3. When dividing a positive number by a negative number, the results are negative.
4. When dividing a negative number by a positive number, the results are positive.
5. When dividing a negative number by a negative number the results are negative.

“Which of the following is a true statement?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide Quantitative Review”. GMAT quant questions analyse the mathematical and logical knowledge of the candidates. The candidates are expected to solve mathematical problems related to arithmetic, algebra, and geometry. The candidates must know basic concepts of maths to solve the GMAT Problem Solving questions. The GMAT Quant topic in the problem-solving part notes certain mathematical questions that can be interpreted only by good qualitative skills. This GMAT Quantitative section comes up with one problem statement and a series of options. The candidates have to choose the correct answer by analysing it with mathematical calculations.

Solution and Explanation:

Approach Solution 1:

There is only one approach to this problem.

The problem statement asks to find out:

• Which of the following statement is true?

Let’s scan all the answer options to determine the correct answer

1. The statement states that the product of two negative numbers is negative.

Therefore, we can assume two negative numbers as -4 and -3
Hence by multiplying the two negative numbers we get,
(-4) x (-3) = +12, which is a positive integer.
Thus option A is incorrect since it does not support the claim of the statement.

2. The statement declares that the product of one negative and one positive number is positive.

Therefore, we can assume one negative number as -4 and one positive number as +3.
Hence by multiplying the two numbers we get,
(-4) x (+3) = -12, , which is a negative integer.
Thus option B is a false statement as it does not satisfy the claim of the statement.

100. The statement suggests that on dividing a positive number by a negative number, the results will always be negative.

Let’s consider the positive number as +6 and the negative number as -3.
Then by dividing the numbers we get,
(+6)/(-3) = -2, which is a negative integer.
Therefore, option C is the correct answer since it justified the claim of the statement.

500. The statement indicates that on dividing a negative number by a positive number, the results are positive.

Let’s assume the negative number is -6 and the positive number is +3.
Then by diving -6 by +3, we get,
(−6)/(+3) = -2, which is a negative number
Therefore, option D is a false statement as it does not hold the correct information.

5. The statement implies that on dividing a negative number by a negative number the results are negative.

Let’s assume the two negative numbers as -6 and -3.
Then by diving -6 by -3, we get,
(−6)/(-3) = +2, which is a positive number
Therefore, option E is a false statement as it does not contain accurate information.

Hence, C is the correct answer.

Correct Answer: C

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