Recent questions tagged analytical-aptitude

If $20$ wave crests pass a fixed point in an interval of $5$ minutes, then the frequency of the wave (in Hertz) is $\_\_\_\_$. (rounded off to three decimal places)

Which of the following is/are step(s) followed in energy audit?WalkthroughCollection of past energy consumption dataEvaluation of energy conservation measuresPreparation ...

An energy conservation project requires an initial investment of ₹$50,000$ with an expected annual operation and maintenance cost of ₹$5,000$. This project is expected to...

A resident has ₹ $50,000$ to purchase a $5$-star rated air conditioner with a life of $10$ years. The annual energy cost savings (in ₹) needed to recover this investment ...

​​In the context of the given figure, which one of the following options correctly represents the entries in the blocks labelled $\text{(i), (ii), (iii)}$, and $\text{(iv...

​​​A bag contains Violet (V), Yellow (Y), Red (R), and Green (G) balls. On counting them, the following results are obtained:The sum of Yellow balls and twice the number ...

​​​For the clock shown in the figure, if$ \begin{array}{l} \mathrm{O}^{*}=\mathrm{~O} \mathrm{~Q} \mathrm{~S} \mathrm{~Z} \mathrm{~P} \mathrm{~R} \mathrm{~T}, \text { and...

Consider a five-digit number $PQRST$ that has distinct digits $P,Q,R,S$, and $T$, and satisfies the following conditions:$$\begin{array}{c} P<Q \\ S>P>T \\ R<T \end{array...

​​​​Consider the second order Partial Differential Equation $\textsf{(PDE)}$$$4 x^{2} \frac{\partial^{2} u}{\partial x^{2}}+4(x+y) \frac{\partial^{2} u}{\partial x \parti...

​​​​​Let $f(z)$ be an analytic function such that$$ {Re}\left(f^{\prime}(z)\right)=3 x^{2}-4 y-3 y^{2}, f(i)=0, f^{\prime}(0)=0, $$where $i=\sqrt{-1}$. Then the value of ...

​​Consider the function$$ f(x, y)=x^{2} y+2 x y^{2}-2 x^{2} y^{2}.$$Then which one of the following statements is correct?$\left(\frac{3}{2}, 0\right)$ is a point of loca...

​​​Statement of Reynolds Transport Theorem is given below with three blanks.The rate of change of $\_\_\_\_\_$ extensive property can be calculated by summing the rate of...

​For a conventional optical microscope, which of the following options regarding the resolution limit and the depth of field is/are correct?Resolution limit decreases wit...

​​​Match the detector for a scanning electron microscope $\textsf{(SEM)}$ in $\textbf{Column I}$ with the resulting output in $\textbf{Column II}$.$\textsf{SE}$: Secondar...

Corrosion of pure iron takes place in an acidic electrolyte by forming $\mathrm{Fe}^{2+}$ ions at ambient condition. The corrosion current density is measured to be $2 \t...

​​​A ball of mass $5 \mathrm{m}$ approaches a stationary ball of mass $\mathrm{m}$ with a horizontal velocity of $2 \mathrm{~m} / \mathrm{s}$ from left to right. After a ...

​​​​​​Two cars $\text{P}$ and $\text{Q}$ are travelling on a straight path and are $60 \: \mathrm{m}$ apart as shown in the figure; Car $\text{P}$ is moving with a consta...

The natural frequency of a spring-mass system is $10 \: \mathrm{rad} / \mathrm{s}$.Which of the following statements is/are $\textsf{CORRECT}$?The mass is $100 \:\mathrm{...

Consider two blocks, $\mathbf{P}$ of mass $100 \: \mathrm{kg}$ and $\mathbf{Q}$ of mass $150 \: \mathrm{ kg}$, resting as shown in the figure. The angle $\theta=30^{\circ...