# Recent questions tagged cat2013

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Functions $g$ and $h$ are defined on $n$ constants, $a_0,a_1,a_2,a_3,...a_{n−1}$, as follows: $g(a_p,a_q)=a\mid p−q\mid$, if $\mid p-q \mid\leq(n-4) =a_n−\mid p−...

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Summary of the estimate of memory space occupied by the information worldwide, stored in various storage media, in the year $2000$In the above graph, for any media of inf...

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There are five cards lying on a table in one row. Five numbers from among $1$ to $100$ have to be written on them, one number per card, such that the difference between t...

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Let $\text{P, Q, S, R, T, U}$ and $\text{V}$ represent the seven distinct digits from $0$ to $6$, not necessarily in that order. If $\text{PQ}$ and $\text{RS}$ are both t...

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In a bag there are total of $150$ coins in three denominations $₹1,₹2$ and $₹5$ with at least one coin of each denomination being present in the bag. The total valu...

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Consider the following two curves in the $\text{XY}$ plane:$\\y=2x^3+3x^2+4\: \text{and} \\y=3x^2-2x+8$Which of the following statements is true for $-3≤x≤2?$The two ...

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Two cars P and Q start from two points A and B towards each other simultaneously. They meet for the first time $40$ km from B. After meeting they exchange their speeds as...

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Sujith looked at the six-digit number on his CAT admit card and said "If I multiply the first two digits with three, I get all ones. If I multiply the next two digits wit...

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$a,b$ and $c$ are the lengths of the triangle $\text{ABC}$ and $d,e$ and $f$ are the lengths of the sides of the triangle $\text{DEF}$. If the following equations hold tr...

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The following is the table of points drawn at the end of all matches in a six-nation Hockey tournament, in which each country played with every other country exactly once...

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In a triangle $\text{PQR, PQ} = 12$ cm and $\text{PR} = 9$ cm and $\angle \text{Q} +\angle \text{R}=120^{\circ}$. If the angle bisector of $\angle \text{P}$ meets $\text{...

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In a triangle $\text{PQR, PQ} = 12$ cm and $\text{PR} = 9$ cm and $\angle \text{Q} +\angle \text{R} = 120^{\circ}$. Find the length of $\text{QR}$$\dfrac{15}{\sqrt2}$ cm$...

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Some persons are standing at distinct points on a circle, all facing towards the center. Each possible pair of persons who are not adjacent sing a three-minute song, one ...

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A cuboidal aquarium, of base dimensions $100\;\text{cm} \times 80\;\text{cm}$ and height $60\;\text{cm}$, is filled with water to its brim. The aquarium is now tilted alo...

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A television company manufactures two models of televisions-A and B. Each unit of model A requires four hours to manufacture and each unit of model B requires two hours t...

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Each side of a polygon is either parallel to the $x$-axis or parallel to the $y$-axis. A corner of the polygon is known as convex if the corresponding internal angle is $...

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Given that $-3<x \leq – \dfrac{1}{2}$ and $\dfrac{1}{2} < y \leq 7$, which of the following statements is true? $\max (x+y)(x-y)] – \min[(x+y)(x-y)]=57 \dfrac{1}{2}$$...

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The age of a son, who is more than two years old, is equal to the units digit of the age of his father. After ten years, the age of the father will be thrice the age of t...

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If $g(x)=p\mid x \mid-qx^2$, where $p$ and $q$ are constants, then at $x=0, g(x)$ will bemaximum when $p>0,q>0$minimum when $p<0,q<0$minimum when $p>0,q<0$maximum when $p...

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Outside a sweet shop, its name "Madhu Sweet House" is displayed using blinking lights. Each word flashes at a regular interval and remains lit for $1$ second. After remai...

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The line $\text{L}$ passing through the points $(1,1)$ and $(2,0)$ meets the $y$-axis at $\text{A}$. The line through the point $\left(\dfrac{1}{2},0 \right)$ and perpend...

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Let $f(x)= \dfrac{1}{1+x^2}$ and $g(x)=\dfrac{e^{−x}}{1+[x]}$, where $[x]$ is the greatest integer less than or equal to $x$. Then which of the following domain is true...

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The density of a liquid is defined as the weight per unit volume of the liquid. The densities of two liquids A and B are in the ratio $2:1$. The liquid B evaporates at a ...

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Each of nine persons. P, Q, R, S, T, U, V, W and X, lives in a different flat in an apartment building, which has six floors (excluding the ground floor, which is used on...

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Psychotherapeutic processes deal with psychological problems, ranging From mild ones like a depressed mood, to more subtle ones like interpretation of dreams to more cont...

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The following question presents four statements, of which three, when placed in appropriate order, would form a contextually complete paragraph. Pick the statements that ...

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The sentences given in the following question, when properly sequenced, form a coherent paragraph. Each sentence is labeled with a letter. From among the four choices giv...

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From among the four choices given below the question, choose the most logical order of sentences that constructs a coherent paragraph.Although thoughts are primary. thoug...

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The word in capitals is used in four different ways. Choose the option in which the usage of the word is INCORRECT or INAPPROPRIATE.MELTThe crowd melted away after the pr...

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