Question: How many dimes are there in 4x - 1 cents? (1 dime = 10 cents)

(A) 40x - 10
(B) 2x/5 - 1/10
(C) 40x - 1
(D) 4x - 1
(E) 20x - 5

Correct Answer: B

Solution and Explanation:

Approach Solution 1:
Let x = 10, making the total amount in cents be 40-1 = 39

There are 3 dimes in this.

Evaluating answer options at x = 10

(A) 40x - 10 = 400 - 10 = 390
(B) 2x/5 - 1/10 = 2*10/5 - 1/20 = 4 - 1/20 = 79/20 = 3.
(C) 40x - 1 = 400 -1 = 399
(D) 4x - 1 = 40 - 1 = 39
(E) 20x - 5 = 200 - 5 = 195

Therefore, Option B(2x/5 - 1/10) is the number of dimes in 4x - 1 cents.

Approach Solution 2:
Since there are 4x - 1 cents and a dime is 10 cents,

there will be 4x - 1/10 or 2x/5 - 1/10 dimes in 4x - 1 cents

“How many dimes are there in 4x - 1 cents? (1 dime = 10 cents)”- is a topic of the GMAT Quantitative reasoning section of GMAT. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. GMAT Quant practice papers improve the mathematical knowledge of the candidates as it represents multiple sorts of quantitative problems.

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