# Recent questions tagged cat2010

1

Consider the following statements :When two straight lines intersect, then :adjacent angles are complementaryadjacent angles are supplementaryopposite angles are equalopp...

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$\text{P, Q and R}$ are three consecutive odd numbers in ascending order. If the value of three times $\text{P}$ is three less than two times $\text{R}$, find the value o...

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Let $\text{S}$ be the set of rational numbers with the following properties:$\frac{1}{2}\in \text{S}$If $x\in \text{S}$ then both $\frac{1}{x+1}\in \text{S}$ and $\frac{x...

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If $r, s$ and $t$ are consecutive odd integers with $r < s < t$, which of the following must be true?$rs = t$$r + t = 2t – s$$r + s = t – 2$$r + t = 2s$

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From a square piece of card-board measuring $2a$ on each side of a box with no top is to be formed by cutting out from each corner a square with sides $b$ and bending up ...

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The sum of the areas of two circles which touch each other externally is $153\pi$. If the sum of their radii is $15$, find the ratio of the larger to the smaller radius$4...

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Consider the following statements:If $a^{x}=b,b^{y}=c,c^{z}=a,$ then $xyz=1$If $p=a^{x},q=a^{y},\left ( p^{y}q^{y} \right )^{z}=a^{2},$ then $xyz=1$If $x^{a}=y^{b}=z^{c}$...

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A pole has to be erected on the boundary of a circular park of diameter $13$ meters in such a way that the difference of its distances from two diametrically opposite fix...

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Let $\text{S}$ denote the infinite sum $2+5x+9x^{2}+14x^{3}+20x^{4}+\ldots$where $\mid x \mid < 1$ and the coefficient of $x^{n-1}$ is $\dfrac{1}{2}n\left ( n+3 \right )...

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If $a, b$ and $c$ are three real numbers, then which of the following is not true?$\mid a+b \mid\leq \mid a \mid+\mid b \mid$$\mid a – b \mid \leq \mid a \mid + \mid b...

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Let $f$ be an injective map with domain $\left \{ x, y, z \right \}$ and the range $\left \{ 1, 2, 3 \right \}$ such that exactly one of the following statements is corre...

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If three positive real numbers $a, b$ and $c(c>a)$ are in Harmonic Progression, then $\log\left ( a+c \right )+\log\left ( a-2b+c \right )$ is equal to:$2\:\log\left ( c-...

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If $a=b^{2}=c^{3}=d^{4}$ then the value of $\log_{a}\;(abcd)$ would be$\log_{a}1+\log_{a}2+\log_{a}3+\log_{a}4$$\log_{a}24$$1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}$$1+\frac...

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In an examination, the average marks obtained by students who passed was $x\%$, while the average of those who failed was $y\%$. The average marks of all students taking ...

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For which value of $k$ does the following pair of equations yield a unique solution for $x$ such that the solution is positive?$x^{2}-y^{2}=0$$(x-k)^{2}+y^{2}=1$$2$$0$$\s...

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$\text{ABCD}$ is a rectangle. The points $\text{P}$ and $\text{Q}$ lie on $\text{AD}$ and $\text{AB}$ respectively. If the triangle $\text{PAQ, QBC}$ and $\text{PCD}$ all...

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The colour black is an example ofA surface colourAn achromatic colourAn organic colourA diffuse colour

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According to the passage, lighting engineers need notPlot photometric curvesUtilizes photometric dataUnderstand Photometric techniquesHave mathematical expertise

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Geetanjali Express, which is $250$ metre long when moving from Howrah to Tatanagar crosses Subarnarekha bridge in $30$ seconds. What is the speed of Geetanjali Express?St...

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A line graph on a graph sheet shows the revenue for each year from $1990$ through $1998$ by points and joints the successive points by straight line segments. The point f...

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In a factory making radioactive substances, it was considered that the three cubes of uranium together are hazardous. So the company authorities decided to have the stack...

22

For constructing the working class consumer price index number of a particular town, the following weights corresponding to different group of items were assigned : Food ...

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By using the expression “environmentally destructive tourism” the author meansThe preservation of the wild beasts.Destruction of the wildlife and sancturies.Destroyin...

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To implement the most scientific ways of tourism, we shouldGet industries and talented persons trained in the field.From a commission and a plan out how to implement the ...

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Biotic disturbances in the context meansAttacks from other living things, animals, etc.The disturbances caused by the natives on seeing the strange foreigners.The politic...

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The author’s use of Snell’s law of refraction to illustrate Mayo’s perspective can best said to beContrivedPremediatedSuperfluousIllustrative

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As per Mayo’s perspective, which of the following best defines the phrase “scientific explanation”?One which is most detailed in its explanation of natural phenomen...

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Which of the following conclusion can be drawn from the passage?Precise measurement is a sufficient condition to ensure validity of conclusions resulting from an experime...

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Paint is an example of a substance containingInorganic materialBody coloursSurface coloursMetallic colours

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Infer$\begin{array}{II}{\textbf{Dictionary Definition}} & \textbf{Usage} \\ \text{A. To derive by reasoning or implication} & \text{E. We see smoke and inter fire} \\ \te...

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Catch$\begin{array}{II} \textbf{Dictionary definition} & \textbf{Usage} \\ \text{A. Capture} & \text{E. All her friends agreed that prasad was a good catch.} \\ \text{B. ...

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The _____ of the country should take a greater interest in promoting the indigenous works that are rooted in the deep traditions of scholarship across the world.LITERATIL...

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Choose the option that point out sentence(s) with grammatical error(s).I love the man dancing on the table.I love the man’s dancing on the table.In $1986$ Elie Wiesel w...

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During the heated discussion, the leader of the group ________ refuted all the claims brought by his opponents. Later everybody acknowledged that he survived by most ____...

35

Justice Minister Bola lge, confronted with the general incivility of local police, placed a ______ on the cads. Said the Hon. Bola lge, “I pray that god will make big h...

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Which of the following statements is wrong ?Depreciation expense is the lowest for food industryPower and fuel expenses are $5$th largest item in the expenditure of diver...

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Trace toSparing ofReplete withwonder at I and IIII, II and IIIII, III and IVNone of the above

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Indict toIntrigue onEndow withTrample on I and IVI and IIII, III and IVNone of the above

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It would perhaps be possible for him to be of some use to this brave girlhe said to himself, vaguely at first, thatwithout neglecting anything of what was due to his impo...

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But she gained courage as she went onShe was a little nervous about it just at firstand opened their eyes and mouths so very widethe two creatures got so close to her, on...