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Recent questions tagged cat2000
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CAT200087
Answer the following question based on the information given below. For a real number x, let f(x) = 1/(1 + x), if x is nonnegative = 1+ x, if x is negative f$^n$(x) = f(f$^{n – 1}$(x)), n = 2, 3, .... What is the value of the product, $f(2)f^2(2)f^3(2)f^4(2)f^5(2)$? $\frac{1}{3}$ 3 $\frac{1}{18}$ None of these
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Mar 29, 2016
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Logical Reasoning
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CAT200085
Answer the following question based on the information given below. There are three bottles of water, A, B, C, whose capacities are 5 litres, 3 litres, and 2 litres respectively. For transferring water from one bottle to another and to drain out the bottles, ... EMPTY (C, B) The second instruction transfers water from B to C The second instruction involves using the water in bottle A.
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Mar 29, 2016
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CAT200082
Answer the following question based on the information given below. Given below is a graph made up of straightline segments shown as thick lines. Choose the answer as if f(x) = 3 f(–x); if f(x) = –f(–x); if f(x) = f(–x); and if 3 f(x) = 6 f(–x), for x ≥ 0. 1. 1 2 3 4
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Mar 29, 2016
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Logical Reasoning
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CAT200080
Answer the following questions based on the information given below. There are five machines A, B C, D and E situated on a straight line at distances of 10 metres, 20 metres, 30 metres, 40 metres and 50 metres respectively from the origin of the line. A robot is ... , when it notices the message of E? Assume that the speed of movement of the robot is 10 metres per second. 140 80 340 360
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Mar 29, 2016
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Quantitative Aptitude
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CAT200077
Answer the following question based on the information given below. For three distinct real numbers x, y and z, let f(x, y, z) = min(max(x, y), max(y, z), max(z, x)) g(x, y, z) = max(min(x, y), min(y, z), min(z, x)) h(x, y, z) = max(max(x, y), max(y, z), max(z, x)) j(x, y, z) = min(min(x, ... ) j(x, y, z)/h(x, y, z) f(x, y, z)/g(x, y, z) (f(x, y, z) + h(x, y, z)  g(x, y, z))/j(x, y, z)
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Mar 29, 2016
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Quantitative Aptitude
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CAT200075
Answer the following question based on the information given below. For real numbers x, y, let f(x, y) = Positive squareroot of (x + y), if (x + y)$^{0.5}$ is real = (x + y)$^2$, otherwise g(x, y) = (x + y)$^2$, if (x + y)$^{0.5}$ is real = (x + y), otherwise Which of the following expressions ... x, y)? f(x, y)  g(x, y) f(x, y)  (g(x, y))2 g(x, y)  (f(x, y))2 f(x, y) + g(x, y)
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Mar 29, 2016
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Quantitative Aptitude
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CAT200073
A, B, C are three numbers.
[email protected]
(A, B) = average of A and B, / (A, B) = product of A and B, and X (A, B) = the result of dividing A by B The sum of A and B is given by /(@(A, B), 2) X(@(A, B), 2) @(/(A, B), 2) @(X(A, B), 2)
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Mar 28, 2016
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Quantitative Aptitude
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CAT200072
Sam has forgotten his friend’s sevendigit telephone number. He remembers the following: the first three digits are either 635 or 674, the number is odd, and the number nine appears once. If Sam were to use a trial and error process to reach his friend, what is the minimum number of trials he has to make before he can be certain to succeed? 1000 2430 3402 3006
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Mar 28, 2016
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Quantitative Aptitude
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CAT200071
The table below shows the agewise distribution of the population of Reposia. The number of people aged below 35 years is 400 million. Age Group Percentage Below 15 years 30.00 1524 17.75 2534 17.00 3544 14.50 4554 12.50 5564 7.10 65 and above 1.15 If the ratio ... 15 years' age group is 0.96, then what is the number of females (in millions) in that age group? 82.8 90.8 80.0 90.0
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Mar 28, 2016
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Quantitative Aptitude
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CAT200070
Each of the numbers $x_1, x_2...., x_n$, n > 4, is equal to 1 or –1. Suppose, $x_1x_2x_3x_4 + x_2x_3x_4x_5 + x_3x_4x_5x_6 + ......+ x_{n–3}x_{n–2}x_{n–1}x_n + x_{n–2}x_{n–1}x_nx_1+ x_{n–1}x_nx_1x_2 + x_nx_1x_2x_3= 0$, then, (1)n is even. n is odd. n is an odd multiple of 3. (4)n is prim
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Mar 28, 2016
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CAT200069
The integers 34041 and 32506 when divided by a threedigit integer ‘n’ leave the same remainder. What is ‘n’? 289 367 453 307
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Mar 28, 2016
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CAT200068
Let N = 1421 $\times$ 1423 $\times$ 1425. What is the remainder when N is divided by 12? 0 9 3 6
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Mar 28, 2016
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Quantitative Aptitude
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CAT200067
What is the number of distinct triangles with integral valued sides and perimeter 14? 6 5 4 3
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Mar 28, 2016
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Quantitative Aptitude
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CAT200066
Let S be the set of prime numbers greater than or equal to 2 and less than 100. Multiply all elements of S. With how many consecutive zeros will the product end? 1 4 5 10
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Mar 28, 2016
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Quantitative Aptitude
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CAT200065
Let x, y and z be distinct integers, that are odd and positive. Which one of the following statements cannot be true? $xyz^2$ is odd. $(x − y)^2 z$ is even. $(x + y − z)^2 (x + y)$ is even. $(x − y) (y + z) (x + y − z)$ is odd
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Mar 28, 2016
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Quantitative Aptitude
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CAT200064
Let S be the set of integers x such that 100 < x < 200 x is odd x is divisible by 3 but not by 7 How many elements does S contain? 16 12 11 13
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Mar 28, 2016
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Quantitative Aptitude
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CAT200063
One red flag, three white flags and two blue flags are arranged in a line such that, no two adjacent flags are of the same colour. the flags at the two ends of the line are of different colours. In how many different ways can the flags be arranged? 6 4 10 2
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Mar 28, 2016
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Quantitative Aptitude
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CAT200062
If x > 2 and y > – 1, Then which of the following statements is necessarily true? xy > –2 –x < 2y xy < –2 –x > 2y
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Mar 28, 2016
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Quantitative Aptitude
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CAT200061
Consider a sequence of seven consecutive integers. The average of the first five integers is n. The average of all the seven integers is $n$ $n+1$ $K \times n, \text {where K is a function of } n$ $n + \frac{2}{7}$
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Mar 28, 2016
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CAT200060
A truck travelling at 70 kilometres per hour uses 30% more diesel to travel a certain distance than it does when it travels at the speed of 50 kilometres per hour. If the truck can travel 19.5 kilometres on a litre of diesel at 50 kilometres per hour, how far can the truck travel on 10 litres of diesel at a speed of 70 kilometres per hour? 130 140 150 175
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Mar 28, 2016
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Quantitative Aptitude
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CAT200059
What is the value of the following expression? $\frac{1}{2^2 1} + \frac{1}{4^2 1} + \frac{1}{6^2 1} + \dots + \frac{1}{20^2 1}$ $\frac{9}{19}$ $\frac{10}{19}$ $\frac{10}{21}$ $\frac{11}{21}$
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Mar 28, 2016
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CAT200058
If $a_1 = 1$ and $a_{n+1} = 2a_{n + 5}, n = 1, 2 ... ,$ then $a_{100}$ is equal to $(5 × 2^99 – 6)$ $(5 × 2^99 + 6)$ $(6 × 2^99 + 5)$ $(6 × 2^99 – 5)$
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Mar 28, 2016
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Quantitative Aptitude
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CAT200057
x 1 2 3 4 5 6 y 4 8 14 22 32 44 In the above table, for suitably chosen constants a, b and c, which one of the following best describes the relation between y and x? $y = a + bx$ $y = a + bx + cx^2$ $y = e^{a + bx}$ None of the above
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Mar 26, 2016
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Quantitative Aptitude
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CAT200056
Let D be a recurring decimal of the form, $D = 0.a_1a_2a_1a_2a_1a_2 .......$, where digits $a_1$ and $a_2$ lie between 0 and 9. Further, at most one of them is zero. Then which of the following numbers necessarily produces an integer, when multiplied by D? 18 108 198 288
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Mar 26, 2016
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Quantitative Aptitude
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CAT200055
The likelihood of an accident is determined by how carefully the motorist drives and how carefully the pedestrian crosses the street. An accident involving a motorist and a pedestrian is such a case. Each must decide how much care to exercise without knowing how ... interact with each other, and each must decide what to do without knowing what the other is doing. ABCD ADCB DBCA DBAC
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Mar 26, 2016
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CAT200054
Both parties use capital and labour in the struggle to secure property rights. The thief spends time and money in his attempt to steal (he buys wire cutters) and the legitimate property owner expends resources to prevent the theft (he ... purchase more and more complicated and sophisticated safes, forcing safecrackers to invest further in safecracking equipment. ABCDE CABDE ACBED CBEDA
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Mar 26, 2016
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CAT200053
To be culturally literate is to possess the basic information needed to thrive in the modern world. Nor is it confined to one social class; quite the contrary. It is by no means confined to culture narrowly understood as an acquaintance with the ... breadth of that information is great, extending over the major domains of human activity from sports to science. AECBD DECBA ACBED DBCAE
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Mar 26, 2016
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CAT200052
This very insatiability of the photographing eye changes the terms of confinement in the cave, our world. Humankind lingers unregenerately in Plato's cave, still revelling its ageold habit, in mere images of truth. But being educated by photographs is not like being ... alter and enlarge our notions of what is worth looking at and what we have a right to observe. EABCD BDEAC BCDAE ECDAB
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Mar 26, 2016
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CAT200051
If caught in the act, they were punished, not for the crime, but for allowing themselves to be caught another lash of the whip. The bellicose Spartans sacrificed all the finer things in life for military expertise. Those fortunate enough to survive babyhood ... birth by the city council and those deemed too weak to become soldiers were left to die of exposure. BECDA ECADB BCDAE ECDAB
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Mar 26, 2016
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CAT200050
The manners and ________ of the nouveau riche is a recurrent ________ in literature. style, motif morals, story wealth, theme morals, theme
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Mar 26, 2016
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CAT200049
In these bleak and depressing times of ________ prices, nonperforming governments and ________ crime rates, Sourav Ganguly has given us, Indians, a lot to cheer about. escalating, increasing spiralling, booming spiralling, soaring ascending, debilitating
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Mar 26, 2016
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CAT200048
It will take some time for many South Koreans to ________ the conflicting images of North Korea, let alone to ________ what to make of their northern cousins. reconcile, decide understand, clarify make out, decide reconcile, understand
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Mar 26, 2016
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CAT200047
The law prohibits a person from felling a sandalwood tree, even if it grows on one’s own land, without prior permission from the government. As poor people cannot deal with the government, this legal provision leads to a riproaring business for ________, who care neither for the ________, nor for the trees. middlemen, rich the government, poor touts, rich touts, poor
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Mar 26, 2016
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CAT200046
Though one eye is kept firmly on the ________, the company now also promotes ________ contemporary art. present, experimental future, popular present, popular market, popular
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Mar 26, 2016
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CAT200045
Sentences given in each question, when properly sequenced, form a coherent paragraph. The first and last sentences are 1 and 6, and the four in between are labeled A,B,C and D. Choose the most logical order of these four sentences from among the four given choices to ... 's pride is his horse; his cow may be thin but his horse must be fat,' went a Slovak saying. ACDB DBCA ABCD DCBA
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Mar 26, 2016
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CAT200044
Sentences given in each question, when properly sequenced, form a coherent paragraph. The first and last sentences are 1 and 6, and the four in between are labelled A,B,C and D. Choose the most logical order of these four sentences from among the ... real parts can be defended as mere mistakes or aberrant misreading. 6. Scientists fudging data have no such defences. BDCA ABDC CADB CDBA
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Mar 26, 2016
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CAT200043
Sentences given in each question, when properly sequenced, form a coherent paragraph. The first and last sentences are 1 and 6, and the four in between are labelled A,B,C and D. Choose the most logical order of these four sentences from among the four given ... a fiction. 6. However, the fiction has been, and continues to be, at the basis of nationalist ideologies. DBAC ABCD BACD DACB
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Mar 26, 2016
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CAT200042
Sentences given in each question, when properly sequenced, form a coherent paragraph. The first and last sentences are 1 and 6, and the four in between are labelled A,B,C and D. Choose the most logical order of these four sentences from ... aggressiveness and reduce injuries; they might even improve productivity, since a happy chicken is a productive chicken. DCAB CDBA DBAC BDCA
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Mar 26, 2016
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CAT200041
Sentences given in each question, when properly sequenced, form a coherent paragraph. The first and last sentences are 1 and 6, and the four in between are labelled A,B,C and D. Choose the most logical order of these four sentences from among the ... travel changes with the angle as you look at the surface, different colours look bright from different viewing angles. ABCD BADC BDAC DCAB
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Mar 26, 2016
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CAT200033
The passage given below is followed by a question. Choose the best answer. The teaching and transmission of North Indian classical music is, and long has been, achieved by largely oral means. The raga and its structure, the often breathtaking intricacies of tala or ... means to beget. The music composer notates his music and thus becomes the father of a particular piece of music.
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Mar 25, 2016
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