Arithmetic

MCQ - 65-1443

Question:

Two numbers have a ratio of 5 : 2. If they are positive and differ by 21, what is the value of the larger number?

Correct Answer: D

Explanation:

We can rewrite this as two equations

$\frac{5}{2}$ = $\frac{x}{y}$

x – y = 21

Solve y for x in the second equation: x = 21 + y → y = x – 21

Substitute back into the first equation and solve:

$\frac{5}{2}$ = $\frac{x}{x -21}$

5(x – 21)/2 = x → (5x – 105)/2 = x → 5x – 105 = 2x → 5x – 2x = 105 → 3x = 105; x = 105/3 = 35

Since we know the numerator must be larger (given the prompt), the answer is x, or 35.

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86 MCQ for effective preparation of the test of Arithmetic of Arithmetic section.

Read the MCQ statement: Two numbers have a ratio of 5 : 2. If they are positive and differ by 21, what is the value of the larger number?, keenly and apply the method you have learn through the video lessons for Arithmetic to give the answer. Record your answer and check its correct answer and video explanation for MCQ No. 65-1443.

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Solve the question for MCQ No. and decide which option (A through D/E) is the best choice to answer the MCQ, then click/tap the blue button to view the correct answer and it explanation.

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