TANCET 2014 Quant 42: Ratio Proportion

This aptitude question appeared as 42nd question in the quantitative reasoning section of the TANCET 2014. A total of 20 questions appeared in this section in TANCET 2014. This question is a relatively easy question and tests elementary concepts of ratio and proportion.

Question

What is the value of x if \\frac{10}{3}\\) : x :: \\frac{5}{2}\\) : \\frac{5}{4}\\)?

1. 2
2. 8
3. \\frac{5}{3}\\)
4. \\frac{10}{3}\\)
5. \\frac{5}{4}\\)

  Correct Answer      Choice (3). The value of x is \\frac{5}{3}\\).

Explanatory Answer

In a proportion a : b :: c : d, the product of extremes = product of means

i.e., a * d = c * b

\\frac{10}{3}\\) : x :: \\frac{5}{2}\\) : \\frac{5}{4}\\) is of the form a : b :: c : d

i.e \\frac{10}{3}\\) * \\frac{5}{4}\\) = x * \\frac{5}{2}\\)

x = \\frac{\frac{10}{3} * \frac{5}{4}}{\frac{5}{2}}\\)

x = \\frac{10}{3}\\) * \\frac{5}{4}\\) * \\frac{2}{5}\\)

x = \\frac{5}{3}\\)

  The correct answer is Choice (3).

Video Explanation