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Questions by Arjun

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2 votes
CAT 2010 | Question: 1
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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CAT 2010 | Question: 2
Let $\text{S}$ be the set of rational numbers with the following properties:$\frac{1}{2}\in \text{S}$If $x\in \text{S}$ ... $\text{S}$ contains all rational numbers in the interval $1 < x <\infty$.
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CAT 2010 | Question: 3
$\text{P, Q and R}$ 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 of $\text{R}$.$5$7$9$11$
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CAT 2010 | Question: 4
Consider the following statements :When two straight lines intersect, then :adjacent angles are complementaryadjacent angles are supplementaryopposite angles are equalopposite angles are ... ) and (IV) are correct(II) and (IV) are correct
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CAT 2010 | Question: 5
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 ... from one of the gates is:$8$ metres$8.25$ metres$5$ metresNone these
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CAT 2010 | Question: 6
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 the flaps. The ... }{5}$b= \frac{a}{4}$b= \frac{2a}{3}$b= \frac{a}{2}$
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CAT 2010 | Question: 7
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$2$3$None of these
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CAT 2010 | Question: 8
Consider the following statements:If $a^{x}=b,b^{y}=c,c^{z}=a,$ then $xyz=1$ ... Of these statements:I and II are correctII and III are correctOnly I is correctAll I, II and III are correct
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CAT 2010 | Question: 9
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 ... a \mid -\mid b \mid$\mid a-c \mid \leq \mid a-b \mid+\mid b-c \mid$
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CAT 2010 | Question: 10
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 $x^{n-1}$ ... $\frac{2+x}{(1+x)^{3}}$
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CAT 2010 | Question: 11
$\text{ABCD}$ 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 ... $\text{AQ} = $1+\sqrt{5}$1-\sqrt{5}$\sqrt{7}$2\sqrt{7}$
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CAT 2010 | Question: 12
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$0$\sqrt{2}$\sqrt{-2}$
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CAT 2010 | Question: 13
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 the exam ... z-y \right )$\left ( y-z \right )\left ( x-z \right )$
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CAT 2010 | Question: 14
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}$1+\frac{1}{2!}+\frac{1}{3!}+\frac{1}{4!}$
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CAT 2010 | Question: 15
If three positive real numbers $a, b$ and $c(c>a)$ are in Harmonic Progression, then $\log\left ( a+c \right )+\log\left ( a-2b+c \right )$ ... $\log\:a+\log\:b+\log\:c$
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CAT 2010 | Question: 16
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 ... The value of $f^{-1}\left ( 1 \right )$ is $x$y$z$None of the above
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CAT 2010 | Question: 17
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 - $55$, Fuel - ... .14,159.57,90.64,198.28$321.14,162.57,84.46,175.38$
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CAT 2010 | Question: 18
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 of ... hazardous combinations of uranium in a stack of $5?$3$7$8$10$
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CAT 2010 | Question: 19
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 for ... degrees.Statement II: The scale of $y$-axis is $1$ cm = $1000$.
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CAT 2010 | Question: 20
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? ... running at $90$ km/hour crosses a lamp post in $10$ seconds.
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CAT 2010 | Question: 21
According to the passage, lighting engineers need notPlot photometric curvesUtilizes photometric dataUnderstand Photometric techniquesHave mathematical expertise
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CAT 2010 | Question: 22
The colour black is an example ofA surface colourAn achromatic colourAn organic colourA diffuse colour
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CAT 2010 | Question: 23
Paint is an example of a substance containingInorganic materialBody coloursSurface coloursMetallic colours
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CAT 2010 | Question: 24
Which of the following conclusion can be drawn from the passage?Precise measurement is a sufficient condition to ensure validity of conclusions resulting from ... is sufficient to ensure the validity of conclusions drawn from experiments.
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CAT 2010 | Question: 25
As per Mayo's perspective, which of the following best defines the phrase scientific explanation ?One which is most detailed in its ... been thoroughly tested by scientific experts.One which refutes other explanations convincingly,
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CAT 2010 | Question: 26
The author’s use of Snell’s law of refraction to illustrate Mayo’s perspective can best said to beContrivedPremediatedSuperfluousIllustrative
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CAT 2010 | Question: 27
Biotic disturbances in the context meansAttacks from other living things, animals, etc.The disturbances caused by the natives on seeing the strange foreigners.The ... the parks.Disturbances caused by the wild animals on seeing the tourists.
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CAT 2010 | Question: 28
By using the expression environmentally destructive tourism the author meansThe preservation of the wild beasts.Destruction of the wildlife and sancturies.Destroying the ... and birds.The maintenance of the flora and fauna of the country
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CAT 2010 | Question: 29
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 ... about tourism.Speed as much finance as possible to better the suggestions made.
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CAT 2010 | Question: 30
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 holes in their pokets”.maledictionsanctionproscriptionplea
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CAT 2010 | Question: 31
During the heated discussion, the leader of the group ________ refuted all the claims brought by his opponents. Later ... most _______ luck.ingeniously, incredibleingeniously, incredulousingenuously, incredibleingenuously, incredulous
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CAT 2010 | Question: 32
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 $1986$ ... from the reception to speak to the caterer III and VI and IVII and VIII and IV
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CAT 2010 | Question: 33
Infer ... A-H; B-G; C-F; D-E}$\text{A-E; B-F; C-G; D-H}$
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CAT 2010 | Question: 34
Catch ... -G; B-F; C-E; D-H}$\text{A-G; B-H; C-F; D-E}$
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CAT 2010 | Question: 35
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.LITERATILITERATELITERATURELITERAL
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CAT 2010 | Question: 36
________ of different categories of problems often leads to design of improper solutions that fail to address the complexities of the problem.CONFABULATIONCONFLATIONCONFLICTCONFESSION
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CAT 2010 | Question: 37
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, one on ... IV, III, II, III, IV,III, III, I, IV, IIINone of the above
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CAT 2010 | Question: 38
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 important ... III, I, IVIII, II, I, IVI, III, II, IV None of the above
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CAT 2010 | Question: 39
Indict toIntrigue onEndow withTrample on I and IVI and IIII, III and IVNone of the above
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CAT 2010 | Question: 40
Trace toSparing ofReplete withwonder at I and IIII, II and IIIII, III and IVNone of the above
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