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Select the pair that best expresses a relationship similar to that expressed in the pair:$\text{water : pipe ::}$cart: roadelectricity: wiresea: beachmusic: instrument
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Velocity of an object fired directly in upward direction is given by $V = 80 – 32\: t$, where $t$ (time) is in seconds. When will the velocity be between $32\: m/sec$ and...
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In a factory, two machines $M1$ and $M2$ manufacture $60\%$ and $40\%$ of the autocomponents respectively. Out of the total production, $2\%$ of $M1$ and $3\%$ of $M2$ ar...
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Following table gives data on tourists from different countries visiting India in the year $2011$$$\begin{array}{|cl|cl|} \hline & \textbf{Country} & \textbf{Number of T...
1 1 answer
If $|-2x+9| = 3$ then the possible value of $|-X|-X^2$ would be:$30$$-30$$-42$$42$
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All professors are researchersSome scientists are professorsWhich of the given conclusions is logically valid and is inferred from the above arguments:All scientists are ...
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An equation of state is explicit in pressure $p$ and cubic in the specific volume $v$. At the critical point $‘c’$ , the isotherm passing through $‘c’$ satisfies$\frac{\p...
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A cube of side $3$ units is formed using a set smaller cubes of side $1$ unit. Find the proportion of the number of faces of the smaller cubes visible to those which are ...
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If $i = \sqrt{-1}$, the value of the integral $$\oint_{c}\dfrac{7z + i}{z(z^2 + 1)}dz \quad\quad\quad\quad|z|<2$$,u...
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The Newton – Raphson method is used to find the roots of the equation $f(x) = x- \cos\pi x$ $0\le...
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If $a$ is a constant, then the value of the integral $a^{2}\int^\infty_0 xe^{-ax}dx$ is$1/a$$a$$1$$0$
1 1 answer
Consider the following $(2\times2)$ matrix $\left( \begin{array}{c} 4 & 0 \\ 0 & 4 \end{array} \right)$Whi...
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For the function $f(t) = e^{-t}/\tau$,the Taylor series approximation for $t\ll$$\tau$ is$1+\frac{t}{\tau}$$1-\frac{t}{\tau}$$1-\frac{t^2}{2\tau^2}$$1+t$
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Consider the following set of linear algebraic equations $x{_1} + 2x{_2} + 3x{_3} = 2$ ...
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Which of the following assertions are $\text{CORRECT}$?$P$ : Adding $7$ to each entry in a list adds $7$ to the mean of the list$Q$ : Adding $7$ to each entry in a list...
1 1 answer
Given the sequence of terms, $\text{AD CG FK JP}$, the next term is$\text{OV}$$\text{OW}$$\text{PV}$$\text{PW}$
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Wanted Temporary, part-time persons for the post of Field Interviewers to conduct personal interviews to collect and collate economic data. Requirements: High school-pass...
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The cost function for a product in a firm is given by $5q^{2}$, where q is the amount of production. The firm can sell the product at a market price of $₹50$ per unit. Th...
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Which one of the following options is the closest in meaning to the word given below?$\textbf{Mitigate}$DiminishDivulgeDedicateDenote
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An automobile plant contracted to buy shock absorber from two suppliers $X$ and $Y$. $X$ supplies $60\%$ and $Y$ supplies $40\%$ of the shock absorbers. All shock absorbe...
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Choose the grammatically $\text{INCORRECT}$ sentence:They gave us the money back less the service charges of Three Hundred rupeesThis country’s expenditure is not less th...
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Which of the following curves represents the function $\text{y=ln}(|e^{[|\sin(|x|)]}|)$ for $\mid x\mid< 2\pi$? Here, $x$ represents the abscissa and $y$ represents the o...
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Choose the most appropriate word from the options given below to complete the following sentence.One of his biggest ______ was his ability to forgive.vicevirtueschoicesst...
1 1 answer
If $y=5x^{2}+3,$ then the tangent at $x=0,y=3$passes through $x=0,y=0$has a slope of $+1$is parallel to the $x$-axishas a slope of $-1$
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A foundry has a fixed daily cost of Rs $50,000$ whenever it operates and a variable cost of Rs $800Q,$ where $Q$ is the daily production in tonnes. What is the cost of pr...
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The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral. The ratio between the angles of the quadrilateral is $3:4:5:6.$ The larg...
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One percent of the people of country $X$ are taller than $6$ ft. Two percent of the people of country $Y$ are taller than $6$ ft. There are thrice as many people in count...
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The monthly rainfall chart based on $50$ years of rainfall in Agra is shown in the following figure. Which of the following are true? ($k$ percentile is the value such th...
3 answers 3 answers
Rajiv Gandhi Khel Ratna Award was conferred ______ Mary Kom, a six-time world champion in boxing, recently in a ceremony _____ the Rashtrapati Bhawan (the President’s off...
2 answers 2 answers
Despite a string of poor performances, the chances of $K.L.$ Rahul’s selection in the team are ________slimbrightobviousuncertain
2 answers 2 answers
Select the word that fits the analogy:$\text{Cover : Uncover :: Associate :}$ _______UnassociateInassociateMisassociateDissociate
2 answers 2 answers
Hit by floods, the kharif (summer sown) crops in various parts of the country have been affected. Officials believe that the loss in production of the kharif crops can be...
10 answers 10 answers
The difference between the sum of the first $2n$ natural numbers and the sum of the first $n$ odd natural numbers is ______$n^2-n$$n^2+n$$2n^2-n$$2n^2+n$
2 answers 2 answers
Repo rate is the rate at which Reserve Bank of India $\text{(RBI)}$ lends commercial banks, and reverse repo rate is the rate at which $\text{(RBI)}$ borrows money from c...
3 answers 3 answers
$P,Q,R,S,T,U,V,$ and $W$ are seated around a circular table.$S$ is seated opposite to $W$$U$ is seated at the second place to the right of $R$$T$ is seated at the third p...
4 answers 4 answers
The distance between Delhi and Agra is $233$ km. A car $P$ started travelling from Delhi to Agra and another car $Q$ started from Agra to Delhi along the same road $1$ ho...
3 answers 3 answers
For a matrix $M=[m_{ij}]; \: i,j=1,2,3,4$, the diagonal elements are all zero and $m_{ij}=-m_{ji}$. The minimum number of elements required to fully specify the matrix is...
2 answers 2 answers
The profit shares of two companies $P$ and $Q$ are shown in the figure. If the two companies have invested a fixed and equal amount every year, then the ratio of the tota...
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An irreversible gas phase reaction $2 \textbf{P} \rightarrow 4 \textbf{Q} + \textbf{R}$ is conducted in an isothermal and isobaric batch reactor. Assume ideal gas behavio...
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Consider two Carnot engines $C_1$ and $C_2$ as shown in the figure.The efficiencies of the engines $C_1$ and $C_2$ are $0.40$ and $0.35$, respectively. If the temperature...