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CAT 2013 | Question: 2
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 $\mid p-q \mid\leq(n-4) =a_n−\mid p−q\mid$, if $\mid p-q\mid>(n-4) h (a_p,a_q)=a_k$, where $k$ is the remainder when $p+q$ is divided by ... $1\leq m < n$ and $0 \leq k < n$, and $m$ is a natural number, find $k$. $0$ $1$ $n-1$ $n-2$

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CAT 2013 | Question: 1
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 $\mid p-q \mid\leq(n-4) =a_n−\mid p−q\mid$, if $\mid p-q\mid>(n-4) h (a_p,a_q)=a_k$, where $k$ is the remainder when $p+q$ is divided by $n$. If $n=10$, find the value of $g(g(a_2,a_8),g(a_1,a_7))$, $a_9$ $a_7$ $a_2$ $a_0$

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CAT 2013 | Question: 7
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 information storage, the figures in the brackets denote the amount of memory space occupied by the information ... memory space occupied is the same for all the media mentioned. $37.5\%$ $45\%$ $57\%$ $54\%$

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CAT 2013 | Question: 6
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 information storage, the figures in the brackets denote the amount of memory space occupied by the information stored ... ) $10,170\:\text{TB}$ $6,780 \: \text{TB}$ $1,703,170\:\text{TB}$ None of these

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CAT 2013 | Question: 5
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 the numbers on any two adjacent cards is not divisible by $4$. The remainder when each ofthe five numbers is ... . How many sequences can be written down on the sixth card? $2^23^3$ $4(3)^4$ $4^23^3$ $4^23^4$

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CAT 2013 | Question: 4
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 two-digit numbers adding up to the three-digit number $\text{TUV}$, find the value of $\text{V}$. $3$ $6$ $5$ Cannot be determined

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CAT 2013 | Question: 3
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 value of the Re.$1$ coins is at least $50\%$ ... $3\%$ of the total value of the coins in the bag, find the number of $₹2$ coins in the bag. $2$ $3$ $4$ $1$

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CAT 2013 | Question: 8
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 information storage, the figures in the brackets denote the amount of memory space occupied by the information ... in any single media within that category(approximately)? $68.75\%$ $62.5\%$ $96\%$ $98.3\%$

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CAT 2013 | Question: 13
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 curves intersect thrice The two curves intersect twice The two curves intersect once The two curves do not intersect

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CAT 2013 | Question: 12
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 well as directions and proceed to their respective starting points. On reaching their starting points, they ... point $20$ km from A. Find the distance between A and B. $130$ km $100$ km $120$ km $110$ km

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11

CAT 2013 | Question: 11
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 with six, I get all twos. If I multiply the last two digits $9$, I get all threes”. What is the sum of the digits of the number on Sujith's admit card? $30$ $33$ $60$ $45$

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CAT 2013 | Question: 10
$a,b$ 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 true: $a(a+b+c)=d^2$ $b(a+b+c)=e^2$ ... is always true of triangle $\text{DEF}?$ It is an acute-angled triangle It is an right-angled triangle It is an obtuse-angled triangle None of the above

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CAT 2013 | Question: 9
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 information storage, the figures in the brackets denote the amount of memory space occupied by ... following years is the earliest by which there will be a shortage of memory space? $2002$ $2003$ $2004$ $2005$

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CAT 2013 | Question: 20
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. The table gives the positions of the countries in terms of their respective total ... $0$ $1$ $2$ Cannot be determined

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CAT 2013 | Question: 19
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. The table gives the positions of the countries in terms of their respective total points scored(i ... $5$ $6$ $7$ Cannot be determined

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CAT 2013 | Question: 18
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. The table gives the positions of the countries in terms of their ... of the following matches was a draw? India vs South Korea Spain vs Netherlands Netherlands vs South Korea Spain vs South Korea

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CAT 2013 | Question: 17
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 $\text{QR}$ at $\text{M}$, find the length of $\text{PM}$ $\dfrac{28\sqrt5}{9}$ cm $\dfrac{42\sqrt5}{11}$ cm $\dfrac{36\sqrt3}{7}$ cm $4\sqrt3$

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CAT 2013 | Question: 16
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 $3\sqrt13$ cm $5\sqrt5$ cm $5\sqrt17$ cm

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CAT 2013 | Question: 15
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 pair after another. If the total time taken by all the pairs to finish singing is $1$ hour, find the number of persons standing on the circle $5$ $7$ $9$ $8$

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CAT 2013 | Question: 14
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 along one of the $80\;\text{cm}$ edges and the water begin to spill. The ... . Now the box is returned to its original position. By how many centimeters has the height of water reduced? $50$ $40$ $20$ $10$

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CAT 2013 | Question: 27
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 $90^\circ$ and as concave if the corresponding internal angle is $270^\circ$. If the polygon has $26$ convex corners, the number of its concave corners is $18$ $22$ $26$ $24$

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CAT 2013 | Question: 26
Given that $-3<x \leq – \dfrac{1}{2}$ and $\dfrac{1}{2} < y \leq 7$, which of the following statements is true? $\max (x+y)(x-y)] – \min[(x+y)(x-y)]=57 \dfrac{1}{2}$ $\max[(x+y)^2]=169/4$ $\min[(x-y)^2]=1$ All of the above

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23

CAT 2013 | Question: 25
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 the son. What is the sum of the present ages of the son and the father? $30$ years $36$ years $40$ years Cannot be determined

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24

CAT 2013 | Question: 24
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 to manufacture. The total time available in a month to manufacture these two models is $1600$ hours. The ... the profit. $200$ model as As and $600$ model Bs $800$ model as As $800$ model Bs None of the above

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CAT 2013 | Question: 23
If $g(x)=p\mid x \mid-qx^2$, where $p$ and $q$ are constants, then at $x=0, g(x)$ will be maximum when $p>0,q>0$ minimum when $p<0,q<0$ minimum when $p>0,q<0$ maximum when $p>0,q<0$

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CAT 2013 | Question: 22
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 remaining lit for $1$ ... together and the next time the last two words flash together $45$ seconds $22.5$ seconds $112$ seconds $6.75$ seconds

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27

CAT 2013 | Question: 21
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. The table gives the positions of the countries in terms of their respective total points scored(i.e ... $5$ $4$ $3$ $2$

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28

CAT 2013 | Question: 30
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 perpendicular to $\text{L}$ meets the $y$-axis at $\text{B}$ and $\text{L}$ at $\text{C}$. Find area of the triangle $\text{ABC}$ $\dfrac{25}{16} \\$ $\dfrac{16}{9} \\$ $\dfrac{32}{19} \\$ $\dfrac{40}{23}$

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CAT 2013 | Question: 29
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? domain of $(f+g)=R-(-2,-1]$ domain of $(f+g)=R-[-1,0)$ ... Both II and IV Both I and III Both I and IV Both II and III

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CAT 2013 | Question: 28
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 rate (in kg/hr) which is twice as fast compared to that of liquid A, which ... $2.5$ $3$ $3.5$ $4$

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31

CAT 2013 | Question: 36
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 only for parking) and three flats on each floor. The three flats on each floor are ... be true? W lives on the third floor. Q lives on the third floor. R lives on the second floor. P lives on the second floor.

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32

CAT 2013 | Question: 35
Psychotherapeutic processes deal with psychological problems, ranging From mild ones like a depressed mood, to more subtle ones like interpretation of dreams to more controversial problems like dissociative identity disorder. Denied emotions ( ... when pursuing their objectives. the inability to understand the unconscious can divert psychotherapists from their objectives.

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33

CAT 2013 | Question: 34
Psychotherapeutic processes deal with psychological problems, ranging From mild ones like a depressed mood, to more subtle ones like interpretation of dreams to more controversial problems like dissociative identity disorder. Denied emotions (not admitting ... It is very difficult to gauge emotional honesty. Dreams often, are indicative of emotions that remain unexpressed.

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34

CAT 2013 | Question: 33
Psychotherapeutic processes deal with psychological problems, ranging From mild ones like a depressed mood, to more subtle ones like interpretation of dreams to more controversial problems like dissociative identity disorder. Denied emotions (not admitting or voicing one's ... can positively influence a psychotherapeutic decision. I,III,IV,V I,IV,V I,II,IV II,IV,V

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35

CAT 2013 | Question: 32
Psychotherapeutic processes deal with psychological problems, ranging From mild ones like a depressed mood, to more subtle ones like interpretation of dreams to more controversial problems like dissociative identity disorder. Denied emotions (not admitting or ... the mind are grounded in the unconscious, while the other considered them to be triggered by the conscious.

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36

CAT 2013 | Question: 31
The following question presents four statements, of which three, when placed in appropriate order, would form a contextually complete paragraph. Pick the statements that is not part of the context But as access to other texts is enjoyed more widely, some of ... or another are used and as long as they are issued or approved by the state, they will remain a political issue.

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37

CAT 2013 | Question: 42
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 given below the question, choose the most logical order of sentences that constructs a coherent paragraph. ... by selling things on a market. $\text{dfbeac}$ $\text{abcdef}$ $\text{eacdfb}$ $\text{cdfabe}$

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38

CAT 2013 | Question: 40
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. thoughts in themselves have no method of transmission and are therefore dependent on speech. If we were to ... thoughts and writing to transmit speech. $\text{cabed}$ $\text{baced}$ $\text{beacd}$ $\text{caedb}$

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CAT 2013 | Question: 41
The word in capitals is used in four different ways. Choose the option in which the usage of the word is INCORRECT or INAPPROPRIATE. MELT The crowd melted away after the prayer meeting. Even the sternest mother's heart melts at the sight ... her destination safely. The cries of opposition suddenly melted to cheers when the principal agreed to the demands of the students.

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40

CAT 2013 | Question: 38
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 only for parking) and three flats on each floor. The three flats on each floor are in ... . If Q lives on the third floor, then how many combinations of persons could live on the second floor? $8$ $6$ $5$ $7$

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author	user:martin
title	title:apple
content	content:apple
exclude	-tag:apple
force match	+apple
views	views:100
score	score:10
answers	answers:2
is accepted	isaccepted:true
is closed	isclosed:true

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