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121

CAT 2000 | Question: 89
Answer the following questions based on the information given below. Sixteen teams have been invited to participate in the ABC Gold Cup cricket tournament. The tournament is conducted in two stages. In the first stage, the teams are divided into two groups. Each group ... to the next stage. What is the total number of matches played in the tournament? $28$ $55$ $63$ $35$

go_editor asked in Quantitative Aptitude Mar 29, 2016

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122

CAT 2000 | Question: 87
Answer the following question based on the information given below. For a real number $x$, let f(x) = 1/(1 + x), if x is non-negative = 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

go_editor asked in Quantitative Aptitude Mar 29, 2016

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123

CAT 2000 | Question: 85
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 ... EMPTY (C, B) The second instruction transfers water from B to C The second instruction involves using the water in bottle A.

go_editor asked in Quantitative Aptitude Mar 29, 2016

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124

CAT 2000 | Question: 82
Answer the following question based on the information given below. Given below is a graph made up of straight-line 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 $x\geq 0.$ $1$ $2$ $3$ $4$

go_editor asked in Quantitative Aptitude Mar 29, 2016

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125

CAT 2000 | Question: 80
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. ... message of E? Assume that the speed of movement of the robot is $10$ metres per second. $140$ $80$ $340$ $360$

go_editor asked in Quantitative Aptitude Mar 29, 2016

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126

CAT 2000 | Question: 77
Answer the following question based on the information given below. For three distinct real numbers $x, y$ and $z,$ let $f(x, y, z) = \min(\max(x, y), \max(y, z), \max(z, x))$ $g(x, y, z) = \max(\min(x, y), \min(y, z), \min(z, x))$ ... $f(x, y, z)/g(x, y, z)$ $(f(x, y, z) + h(x, y, z) - g(x, y, z))/j(x, y, z)$

go_editor asked in Quantitative Aptitude Mar 29, 2016

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127

CAT 2000 | Question: 75
Answer the following question based on the information given below. For real numbers $x, y,$ let $f(x, y) = \left\{\begin{matrix} \text{Positive square-root of}\; (x + y),\;\text{if}\; (x + y)^{0.5}\;\text{is real} \\ (x + y)^2,\;\text{otherwise} \end{matrix}\right.$ ... $f(x, y) - (g(x, y))^2$ $g(x, y) - (f(x, y))^2$ $f(x, y) + g(x, y)$

go_editor asked in Quantitative Aptitude Mar 29, 2016

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128

CAT 2000 | Question: 73
$\text{A, B, C}$ are three numbers. Let $@ \text{(A, B)} =$ average of $\text{A}$ and $\text{B}$, $/ \text{(A, B)} = $ product of $\text{A}$ and $\text{B}$, and $\text{X(A, B)} = $ the result of dividing $\text{A}$ by $\text{B}$ The sum of $\text{A}$ and $\text{B}$ is given by $/(@\text{(A, B)}, 2)$ $X(@\text{(A, B)}, 2)$ $@(/\text{(A, B)}, 2)$ $@(X\text{(A, B)}, 2)$

go_editor asked in Quantitative Aptitude Mar 28, 2016

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3 votes

1 answer

129

CAT 2000 | Question: 72
Sam has forgotten his friend’s seven-digit 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? $1000$ $2430$ $3402$ $3006$

go_editor asked in Quantitative Aptitude Mar 28, 2016

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130

CAT 2000 | Question: 71
The table below shows the age-wise 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 15-24 17.75 25-34 17.00 35-44 14.50 45-54 12.50 55-64 7.10 65 and above 1.15 If the ... is $0.96,$ then what is the number of females (in millions) in that age group? $82.8$ $90.8$ $80.0$ $90.0$

go_editor asked in Quantitative Aptitude Mar 28, 2016

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131

CAT 2000 | Question: 70
Each of the numbers $x_1, x_2,\dots, x_n, n > 4,$ is equal to $1$ or $–1.$ Suppose, $x_1x_2x_3x_4 + x_2x_3x_4x_5 + x_3x_4x_5x_6 + \dots + x_{n–3}x_{n–2}x_{n–1}x_n + x_{n–2}x_{n–1}x_nx_1+ x_{n–1}x_nx_1x_2 + x_nx_1x_2x_3= 0$, then, $n$ is even. $n$ is odd. $n$ is an odd multiple of $3.$ $n$ is prime

go_editor asked in Quantitative Aptitude Mar 28, 2016

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132

CAT 2000 | Question: 69
The integers $34041$ and $32506$ when divided by a three-digit integer $`n\text{’}$ leave the same remainder. What is $`n\text{’}?$ $289$ $367$ $453$ $307$

go_editor asked in Quantitative Aptitude Mar 28, 2016

13.7k points

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1 vote

1 answer

133

CAT 2000 | Question: 68
Let $\text{N} = 1421 \times 1423 \times 1425.$ What is the remainder when $\text{N}$ is divided by $12?$ $0$ $9$ $3$ $6$

go_editor asked in Quantitative Aptitude Mar 28, 2016

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134

CAT 2000 | Question: 67
What is the number of distinct triangles with integral valued sides and perimeter $14? $ $6$ $5$ $4$ $3$

go_editor asked in Quantitative Aptitude Mar 28, 2016

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135

CAT 2000 | Question: 66
Let $\text{S}$ be the set of prime numbers greater than or equal to $2$ and less than $100.$ Multiply all elements of $\text{S}.$ With how many consecutive zeros will the product end? $1$ $4$ $5$ $10$

go_editor asked in Quantitative Aptitude Mar 28, 2016

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1 vote

1 answer

136

CAT 2000 | Question: 65
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

go_editor asked in Quantitative Aptitude Mar 28, 2016

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137

CAT 2000 | Question: 64
Let $\text{S}$ 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 $\text{S}$ contain? $16$ $12$ $11$ $13$

go_editor asked in Quantitative Aptitude Mar 28, 2016

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1 answer

138

CAT 2000 | Question: 63
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? $6$ $4$ $10$ $2$

go_editor asked in Quantitative Aptitude Mar 28, 2016

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139

CAT 2000 | Question: 62
If $x > 2$ and $y > – 1,$ Then which of the following statements is necessarily true? $xy > –2$ $–x < 2y$ $xy < –2$ $–x > 2y$

go_editor asked in Quantitative Aptitude Mar 28, 2016

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140

CAT 2000 | Question: 61
Consider a sequence of seven consecutive integers. The average of the first five integers is $n.$ The average of all the seven integers is $n$ $n+1$ $\text{K} \times n, \text {where K is a function of } n$ $n + \frac{2}{7}$

go_editor asked in Quantitative Aptitude Mar 28, 2016

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141

CAT 2000 | Question: 60
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, ... can the truck travel on $10$ litres of diesel at a speed of $70$ kilometres per hour? $130$ $140$ $150$ $175$

go_editor asked in Quantitative Aptitude Mar 28, 2016

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142

CAT 2000 | Question: 59
What is the value of the following expression? $\frac{1}{2^2 -1} + \frac{1}{4^2 -1} + \frac{1}{6^2 -1} + \dots + \frac{1}{20^2 -1}$ $\frac{9}{19}$ $\frac{10}{19}$ $\frac{10}{21}$ $\frac{11}{21}$

go_editor asked in Quantitative Aptitude Mar 28, 2016

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143

CAT 2000 | Question: 58
If $a_1 = 1$ and $a_{n+1} = 2a_{n + 5}, n = 1, 2, \dots ,$ then $a_{100}$ is equal to $(5 × 2^99 – 6)$ $(5 × 2^99 + 6)$ $(6 × 2^99 + 5)$ $(6 × 2^99 – 5)$

go_editor asked in Quantitative Aptitude Mar 28, 2016

13.7k points

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144

CAT 2000 | Question: 57
$\begin{array}{|c|c|c|c|c|c|c|c|} \hline x & 1 & 2 & 3 & 4 & 5 & 6 \\\hline y & 4 & 8 & 14 & 22 & 32 & 44 \\\hline \end{array}$ In the above table, for suitably chosen constants $a, b$ and $c,$ which one of ... best describes the relation between $y$ and $x?$ $y = a + bx$ $y = a + bx + cx^2$ $y = e^{a + bx}$ None of the above

go_editor asked in Quantitative Aptitude Mar 26, 2016

13.7k points

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145

CAT 2000 | Question: 56
Let $\text{D}$ be a recurring decimal of the form, $\text{D} = 0.a_1a_2a_1a_2a_1a_2 \dots,$ 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 $\text{D}?$ $18$ $108$ $198$ $288$

go_editor asked in Quantitative Aptitude Mar 26, 2016

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146

CAT 2000 | Question: 55
The sentences given in each question, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a letter. Choose the most logical order of sentences from among the four given choices to construct a coherent paragraph. The likelihood of ... with each other, and each must decide what to do without knowing what the other is doing. ABCD ADCB DBCA DBAC

go_editor asked in English Language Mar 26, 2016

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147

CAT 2000 | Question: 54
The sentences given in each question, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a letter. Choose the most logical order of sentences from among the four given choices to construct a coherent ... more and more complicated and sophisticated safes, forcing safecrackers to invest further in safecracking equipment. ABCDE CABDE ACBED CBEDA

go_editor asked in English Language Mar 26, 2016

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148

CAT 2000 | Question: 53
The sentences given in each question, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a letter. Choose the most logical order of sentences from among the four given choices to construct a coherent paragraph. To ... that information is great, extending over the major domains of human activity from sports to science. AECBD DECBA ACBED DBCAE

go_editor asked in English Language Mar 26, 2016

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149

CAT 2000 | Question: 52
The sentences given in each question, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a letter. Choose the most logical order of sentences from among the four given choices to construct a coherent paragraph. This very ... enlarge our notions of what is worth looking at and what we have a right to observe. EABCD BDEAC BCDAE ECDAB

go_editor asked in English Language Mar 26, 2016

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345 views

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150

CAT 2000 | Question: 51
The sentences given in each question, when properly sequenced, form a coherent paragraph. Each sentence is labelled with a letter. Choose the most logical order of sentences from among the four given choices to construct a coherent paragraph. If caught in ... the city council and those deemed too weak to become soldiers were left to die of exposure. BECDA ECADB BCDAE ECDAB

go_editor asked in English Language Mar 26, 2016

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151

CAT 2000 | Question: 50
The manners and ________ of the nouveau riche is a recurrent ________ in literature. style, motif morals, story wealth, theme morals, theme

go_editor asked in English Language Mar 26, 2016

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152

CAT 2000 | Question: 49
In these bleak and depressing times of ________ prices, non-performing governments and ________ crime rates, Sourav Ganguly has given us, Indians, a lot to cheer about. escalating, increasing spiralling, booming spiralling, soaring ascending, debilitating

go_editor asked in English Language Mar 26, 2016

13.7k points

274 views

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153

CAT 2000 | Question: 48
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

go_editor asked in English Language Mar 26, 2016

13.7k points

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154

CAT 2000 | Question: 47
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

go_editor asked in English Language Mar 26, 2016

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155

CAT 2000 | Question: 46
Though one eye is kept firmly on the ________, the company now also promotes ________ contemporary art. present, experimental future, popular present, popular market, popular

go_editor asked in English Language Mar 26, 2016

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156

CAT 2000 | Question: 45
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 ... pride is his horse; his cow may be thin but his horse must be fat,' went a Slovak saying. ACDB DBCA ABCD DCBA

go_editor asked in English Language Mar 26, 2016

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157

CAT 2000 | Question: 44
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 ... parts can be defended as mere mistakes or aberrant misreading. 6. Scientists fudging data have no such defences. BDCA ABDC CADB CDBA

go_editor asked in English Language Mar 26, 2016

13.7k points

283 views

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158

CAT 2000 | Question: 43
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 ... fiction. 6. However, the fiction has been, and continues to be, at the basis of nationalist ideologies. DBAC ABCD BACD DACB

go_editor asked in English Language Mar 26, 2016

13.7k points

276 views

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159

CAT 2000 | Question: 42
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 ... aggressiveness and reduce injuries; they might even improve productivity, since a happy chicken is a productive chicken. DCAB CDBA DBAC BDCA

go_editor asked in English Language Mar 26, 2016

13.7k points

617 views

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160

CAT 2000 | Question: 41
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 ... changes with the angle as you look at the surface, different colours look bright from different viewing angles. ABCD BADC BDAC DCAB

go_editor asked in English Language Mar 26, 2016

13.7k points

262 views

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