Subject Experts Solutions for Chapter: Practice Set 4, Exercise 2: QUANTITATIVE APTITUDE

From a series of $50$ observations, an observation with value $45$ is dropped but the mean remains the same. What was the mean of $50$ observations?

Mr. Duggal invested $Rs.20,000$ with rate of interest $@ 20\% p.a$. The interest was compounded half-yearly for the first one year and in the next year it was compounded yearly. What will be the total interest earned at the end of two years?

If the area of a circle, inscribed in an equilateral triangle is $4\mathrm{\pi } {\mathrm{cm}}^2$, then what is the area of the triangle?

If $2x^2 \cos {60}^{\mathrm{o}}-4 {\cot }^2 {45}^{\mathrm{o}}-2 \tan {60}^{\mathrm{o}}=0,$ then what is the value of $x$?

If $\sin \theta +\mathrm{cosec} \theta =2$, then what is the value of ${\sin }^4\theta +{\cos }^4\theta ?$

What is the expression : $\left({\sin }^4\mathrm{x}-{\cos }^4\mathrm{x}+1\right){\mathrm{cosec}}^2\mathrm{x}$ equal to?

The ratio of the length and the breadth of a rectangle is $4:3$ and the area of the rectangle is $1728 \mathrm{sq}.\mathrm{cm}$. What is the ratio of the breadth and the area of the rectangle?

A person has four iron bars whose lengths are $24 \mathrm{m}$, $36 \mathrm{m}$, $48 \mathrm{m}$ and $72 \mathrm{m}$ respectively. This person wants to cut pieces of the same length from each of four bars. What is the least number of total pieces if he is to cut without any wastage?