Recent questions tagged analytical-aptitude

An opaque cylinder $\text{(shown below)}$ is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen oriented perpendicular to the dir...

Let $f: \mathbb{R}^{2} \rightarrow \mathbb{R}$ be given by $f(x, y)=4 x y-2 x^{2}-y^{4}+1$. The number of critical points where $f$ has local maximum is equal to

Both the numerator and the denominator of $\frac{3}{4}$ are increased by a positive integer, $x$, and those of $\frac{15}{17}$ are decreased by the same integer. This ope...

A survey of $450$ students about their subjects of interest resulted in the following outcome.- $150$ students are interested in Mathematics.- $200$ students are interest...

In the last few years, several new shopping malls were opened in the city. The total number of visitors in the malls is impressive. However, the total revenue generated t...

Consider the following equations of straight lines:$\text { Line L1: } 2 x-3 y=5$$\text { Line L2: } 3 x+2 y=8$$\text { Line L3: } 4 x-6 y=5$$\text { Line L4: } 6 x-9 y=6...

Given below are two statements and four conclusions drawn based on the statements.Statement 1: Some soaps are clean.Statement 2: All clean objects are wet.Conclusion I: S...

An ant walks in a straight line on a plane leaving behind a trace of its movement. The initial position of the ant is at point $\mathrm{P}$ facing east.The ant first turn...