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}\\)?
- 2
- 8
- \\frac{5}{3}\\)
- \\frac{10}{3}\\)
- \\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
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XAT TANCET Practice Questions - Listed Topic wise
- Number Theory
- Permutation Combination
- Probability
- Inequalities
- Geometry
- Coordinate Geometry
- Mensuration
- Trigonometry
- Data Sufficiency
- Percentages
- Profit Loss
- Ratio Proportion
- Mixtures & Alligation
- Speed Distance & Time
- Pipes, Cisterns & Work, Time
- Simple & Compound Interest
- Races
- Averages & Statistics
- Progressions : AP, GP & HP
- Set Theory
- Clocks Calendars
- Linear & Quadratic Equations
- Functions
- English Grammar
- General Awareness