y Varies Directly As x and When x = 6, y = 24. What is the Value of y, When x = 5 GMAT Problem Solving

Question: y varies directly as x and when x = 6, y = 24. What is the value of y, when x = 5?

1. 23
2. 22
3. 21
4. 20
5. 18

“y Varies Directly As x and When x = 6, y = 24. What is the Value of y, When x = 5 GMAT Problem Solving”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book "GMAT Official Guide Quantitative Review". To solve GMAT Problem Solving questions a student must have knowledge about a good number of qualitative skills. The GMAT Quant section consists of 31 questions in total. The GMAT quant topics in the problem-solving part require calculative mathematical problems that should be solved with proper mathematical knowledge.

Answer: D

Approach Solution 1:

Explanation: Since we know the values of x and y from the question, lets put it in the equation and try to solve it. It's easy to answer the following equation if we use the following method-
Since its already given, y varies directly as x. This means that the equation is of the form y = kx where k is any number.

Given, y = kx

Also the value of x is given, x = 6
The value of y is given, y = 24

⇒ 24= 6k

⇒ k = 4

Therefore, equation becomes

⇒ y = 4x

when x = 5;y = 4 × 5 = 20
The correct answer is 20 which implies for option D.

Correct Answer: D

Approach Solution 2:

Explanation:

We get y=k*x
So, when x=6 ; y = 24
This means that k = 4
When x= 5, let us consider the above equation:
y = k*x

y = 4*5

y =20

Correct Answer: D

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