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Recent questions tagged cat2004
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81
CAT 2004 | Question: 71
A new flag is to be designed with six vertical stripes using some or all of the colors yellow, green, blue and red. Then the number of ways this can be done such that no two adjacent stripes have the same color is $12 \times 81$ $16 \times 192$ $20 \times 125$ $24 \times 216$
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Quantitative Aptitude
Jan 14, 2016
by
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13.4k
points
400
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cat2004
quantitative-aptitude
permutation-combination
0
votes
0
answers
82
CAT 2004 | Question: 70
Let $u=( \log_2 x)^2 – 6 \log_2 x + 12$ where $x$ is a real number. Then the equation $x^u =256$, has no solution for $x$ exactly one solution for $x$ exactly two distinct solutions for $x$ exactly three distinct solutions for $x$
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Quantitative Aptitude
Jan 14, 2016
by
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13.4k
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136
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cat2004
quantitative-aptitude
logarithms
0
votes
0
answers
83
CAT 2004 | Question: 69
Let $\text{C}$ be a circle with centre $\text{P}_0$ and $\text{AB}$ be a diameter of $\text{C}.$ suppose $\text{P}_1$ is the mid-point of the line segment $\text{P}_0\text{B}, \text{P}_2$ is the mid-point of the line segment $\text{P}_1\text{B}$ and ... the area of the unshaded portion of $\text{C}$ to that of the original circle $\text{C}$ is $8:9$ $9:10$ $10:11$ $11:12$
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Quantitative Aptitude
Jan 14, 2016
by
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13.4k
points
158
views
cat2004
quantitative-aptitude
geometry
0
votes
1
answer
84
CAT 2004 | Question: 68
In the adjoining figure, the lines represent one-way roads allowing travel only northwards or only westwards. Along how many distinct routes can a car reach point B from point A? $15$ $56$ $120$ $336$
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Quantitative Aptitude
Jan 13, 2016
by
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13.4k
points
1.3k
views
cat2004
quantitative-aptitude
permutation-combination
0
votes
0
answers
85
CAT 2004 | Question: 67
The remainder, when $(15^{23} + 23^{23})$ is divided by $19,$ is $4$ $15$ $0$ $18$
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asked
in
Quantitative Aptitude
Jan 13, 2016
by
go_editor
13.4k
points
159
views
cat2004
quantitative-aptitude
number-systems
0
votes
1
answer
86
CAT 2004 | Question: 66
Consider the sequence of the numbers $a_1, a_2, a_3, \dots$ to infinity where $a_1 = 81.33$ and $a_2 = -19$, and $a_j = a_{j-1} - a_{j-2}$ for $j \geq 3$. What is the sum of the first $6002$ terms of this sequence? $-100.33$ $-30.00$ $62.33$ $119.33$
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in
Quantitative Aptitude
Jan 13, 2016
by
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13.4k
points
279
views
cat2004
quantitative-aptitude
sequences&series
0
votes
0
answers
87
CAT 2004 | Question: 65
A sprinter starts running on a circular path of radius $r$ metres. Her average speed (in metres/minute) is $\pi r$ during the first $30$ seconds, $\pi r /2$ during next $1$ minute, $\pi r /4$ during next $2$ minutes, $\pi r/8$ during next $4$ minutes, and so on. What is the ratio of the time taken for the $n$-th round to that for the previous round? $4$ $8$ $16$ $32$
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Quantitative Aptitude
Jan 13, 2016
by
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13.4k
points
239
views
cat2004
quantitative-aptitude
speed-distance-time
0
votes
0
answers
88
CAT 2004 | Question: 63
Answer the questions on the basis of the information given below: In an examination, there are $100$ questions divided into three groups A, B and C such that each group contains at least one question. Each question in group A carries $1$ mark, each question in ... group B contains $23$ questions, then how many questions are there in group C? $1$ $2$ $3$ cannot be determined
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Quantitative Aptitude
Jan 13, 2016
by
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13.4k
points
235
views
cat2004
quantitative-aptitude
percentage
0
votes
1
answer
89
CAT 2004 | Question: 61
Answer the questions on the basis of the information given below: $f_{1}(x) = \left\{\begin{matrix} x & 0 \leq x \leq 1 \\ 1 & x \geq 1 \\ 0 & \text{otherwise} \end{matrix}\right.$ $f_{2}(x) = f_{1}(-x) \;\; \text{for all} \; x $ ... of the following products are necessarily zero for every $x: f_1(x)f_2(x), \: f_2(x)f_3(x), \: f_2(x)f_4(x)$ $0$ $1$ $2$ $3$
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asked
in
Quantitative Aptitude
Jan 13, 2016
by
go_editor
13.4k
points
526
views
cat2004
quantitative-aptitude
functions
0
votes
0
answers
90
CAT 2004 | Question: 60
On a semicircle with diameter AD; chord BC is parallel to the diameter. Further, each of the chords AB and CD has length $2,$ while has length $8.$ What is the length of BC? $7.5$ $7$ $7.75$ None of the above
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Quantitative Aptitude
Jan 13, 2016
by
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13.4k
points
292
views
cat2004
quantitative-aptitude
geometry
0
votes
0
answers
91
CAT 2004 | Question: 59
In the adjoining figure, chord $\text{ED}$ is parallel to the diameter $\text{AC}$ of the circle. If $\angle \text{CBE} = 65^{\circ}$ then what is the value of $\angle \text{DEC}?$ $35^{\circ}$ $55^{\circ}$ $45^{\circ}$ $25^{\circ}$
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in
Quantitative Aptitude
Jan 13, 2016
by
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13.4k
points
226
views
cat2004
quantitative-aptitude
geometry
0
votes
0
answers
92
CAT 2004 | Question: 56
Answer the question on the basis of the information given below: In the adjoining figure, I and II are circles with centres P and Q respectively. The two circles touch each other and have a common tangent that touches them at points R and S respectively. This common tangent meets the line ... cm. What is the ration of the length of PQ to that of QO? $1:4$ $1:3$ $3:8$ $3:4$
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Quantitative Aptitude
Jan 13, 2016
by
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13.4k
points
168
views
cat2004
quantitative-aptitude
geometry
1
vote
1
answer
93
CAT 2004 | Question: 55
A rectangular sheet of paper, when halved by folding it at mid-point of its longer side, results in a rectangle, whose longer and shorter sides are in same proportion as the longer and shorter sides of the original rectangle. If the shorter side of the original rectangle is ... is the area of the smaller rectangle? $4 \sqrt{2}$ $2 \sqrt{2}$ $ \sqrt{2}$ None of the above
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asked
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Quantitative Aptitude
Jan 12, 2016
by
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13.4k
points
2.6k
views
cat2004
quantitative-aptitude
geometry
0
votes
1
answer
94
CAT 2004 | Question: 54
In Nuts and Bolts factory, one machine produces only nuts at the rate of $100$ nuts per minute and needs to be cleaned for five minutes after production of every $1000$ nuts. Another machine produces only bolts at the rate of $75$ bolts per ... minimum duration required for producing $9000$ pairs of nuts and bolts? $130$ minutes $135$ minutes $170$ minutes $180$ minutes
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Quantitative Aptitude
Jan 12, 2016
by
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13.4k
points
1.7k
views
cat2004
quantitative-aptitude
work-time
0
votes
1
answer
95
CAT 2004 | Question: 53
Each family in a locality has at most two adults, and no family has fewer than three children. Considering all the families together, there are more adults than boys, more boys than girls, and more girls than families. Then the minimum possible number of family in the locality is $4$ $5$ $2$ $3$
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Quantitative Aptitude
Jan 12, 2016
by
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13.4k
points
1.0k
views
cat2004
quantitative-aptitude
number-systems
0
votes
1
answer
96
CAT 2004 | Question: 52
Two boats, travelling at $5$ and $10$ kms per hour, head directly towards each other. They begin at a distance of $20$ kms from each other. How far apart are they (in kms) one minute before they collide? $1/12$ $1/6$ $1/4$ $1/3$
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asked
in
Quantitative Aptitude
Jan 12, 2016
by
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13.4k
points
317
views
cat2004
quantitative-aptitude
speed-distance-time
0
votes
0
answers
97
CAT 2004 | Question: 51
Let $f(x) = ax^2 - b |x|$, where $a$ and $b$ are constants. Then at $x=0, f(x)$ is, maximized whenever $a>0, b>0$ maximized whenever $a>0, b<0$ minimized whenever $a>0, b>0$ minimized whenever $a>0, b<0$
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Quantitative Aptitude
Jan 12, 2016
by
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13.4k
points
113
views
cat2004
quantitative-aptitude
quadratic-equations
0
votes
1
answer
98
CAT 2004 | Question: 50
Let $y=\frac{1}{2+ \frac{1}{3+ \frac{1}{2+ \frac{1}{3+ \dots } } } }$ what is the value of $y?$ $\frac{\sqrt{13} +3} {2}$ $\frac{\sqrt{13} -3} {2}$ $\frac{\sqrt{15} +3} {2}$ $\frac{\sqrt{15} -3} {2}$
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Quantitative Aptitude
Jan 12, 2016
by
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13.4k
points
302
views
cat2004
quantitative-aptitude
algebra
0
votes
1
answer
99
CAT 2004 | Question: 49
If $\frac{a}{a+b} = \frac{b}{c+a} = \frac{c}{a+b} = r$, then $r$ cannot take any value except $1/2$ $-1$ $1/2$ or $-1$ -$1/2$ or $-1$
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asked
in
Quantitative Aptitude
Jan 12, 2016
by
go_editor
13.4k
points
266
views
cat2004
quantitative-aptitude
algebra
0
votes
1
answer
100
CAT 2004 | Question: 48
Suppose $n$ is an integer such that the sum of the digits of $n$ is $2,$ and $10^{10} < n < 10^{11}$. The number of different values for $n$ is $11$ $10$ $9$ $8$
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asked
in
Quantitative Aptitude
Jan 12, 2016
by
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13.4k
points
988
views
cat2004
quantitative-aptitude
number-systems
0
votes
1
answer
101
CAT 2004 | Question: 47
If $f(x) = x^3 - 4x + p$, and $f(0)$ and $f(1)$ are of opposite signs, then which of the following is necessarily true? $-1 < p < 2$ $0 < p < 3$ $-2 < p < 1$ $-3 < p < 0$
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Quantitative Aptitude
Jan 12, 2016
by
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13.4k
points
313
views
cat2004
quantitative-aptitude
functions
0
votes
1
answer
102
CAT 2004 | Question: 46
The total number of integer pairs $(x,y)$ satisfying the equation $x+y=xy$ is $0$ $1$ $2$ None of these
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in
Quantitative Aptitude
Jan 12, 2016
by
go_editor
13.4k
points
280
views
cat2004
quantitative-aptitude
algebra
0
votes
1
answer
103
CAT 2004 | Question: 45
On January $1\; 2004,$ two new societies, $\text{S}_1$ and $\text{S}_2$ are formed, each with $n$ members. On the first day of each subsequent month, $\text{S}_1$ adds $b$ members and $\text{S}_2$ multiplies its current number of members by a constant factor $r.$ Both societies ... members on July $2,\; 2004.$ If $b=10.5n,$ what is the value of $r?$ $2.0$ $1.9$ $1.8$ $1.7$
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in
Quantitative Aptitude
Jan 12, 2016
by
go_editor
13.4k
points
873
views
cat2004
quantitative-aptitude
number-systems
0
votes
1
answer
104
CAT 2004 | Question: 44
If a man cycles at $10$ km per hour, then he arrives at a certain place at $1$ p.m. If he cycles at $15$ km per hour, he will arrive at the same place by $11$ a.m. At what he must he cycle to get there at noon? $11$ km per hour $12$ km per hour $13$ km per hour $14$ km per hour
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in
Quantitative Aptitude
Jan 12, 2016
by
go_editor
13.4k
points
329
views
cat2004
quantitative-aptitude
speed-distance-time
0
votes
2
answers
105
CAT 2004 | Question: 43
If the sum of first $11$ terms of an arithmetic progression equals that of a first $19$ terms, then what is the sum of the first $30$ terms? $0$ $-1$ $1$ Not unique
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in
Quantitative Aptitude
Jan 12, 2016
by
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13.4k
points
366
views
cat2004
quantitative-aptitude
arithmetic-progression
0
votes
1
answer
106
CAT 2004 | Question: 42
$\text{N}$ persons stand on the circumference of a circle at distinct points. Each possible pair of persons, not standing next to each other, sings a two minute song one pair after the other. If the total time taken for singing is $28$ minutes then what is $\text{N}?$ $5$ $7$ $9$ None of these
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Quantitative Aptitude
Jan 12, 2016
by
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13.4k
points
505
views
cat2004
quantitative-aptitude
number-systems
0
votes
1
answer
107
CAT 2004 | Question: 41
Karan and Arjun run a $100$-metre race, where Karan beats Arjun by $10$ metres. To do a favour to Arjun, Karan starts $10$ meters behind the standing line in a second $100$-metre race. They both run at their earlier speeds. Which of the ... reach the finishing line simultaneously Arjun beats Karan by $1$ metre Arjun beats Karan by $11$ metre Karan beats Arjun by $1$ metre
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Quantitative Aptitude
Jan 12, 2016
by
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13.4k
points
295
views
cat2004
quantitative-aptitude
speed-distance-time
0
votes
1
answer
108
CAT 2004 | Question: 40
A milkman mixes $20$ litres of water with $80$ litres of milk. After selling one-fourth of his mixture, he adds water to replenish the quantity that he has sold. What is the current proportion of water to milk? $2:3$ $1:2$ $1:3$ $3:4$
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Quantitative Aptitude
Jan 12, 2016
by
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13.4k
points
305
views
cat2004
quantitative-aptitude
alligation-mixture
0
votes
0
answers
109
CAT 2004 | Question: 39
A father and his son are waiting at a bus stop in the evening. There is a lamp post behind them. The lamp post, the father and his son stand on the same straight line. The father observes that the shadows of his head and his son's head are incident at the same point on ... from the post, then how far ( in meters) the son is standing from his father? $0.9$ $0.75$ $0.6$ $0.45$
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Quantitative Aptitude
Jan 12, 2016
by
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13.4k
points
447
views
cat2004
quantitative-aptitude
speed-distance-time
0
votes
0
answers
110
CAT 2004 | Question: 35
Answer the questions based on the information given below: The year was $2006.$ All six teams in Pool A of World Cup Hockey, play each other exactly once. Each win earns a team $3$ points, a draw earns one point and a loss earns zero points. The two teams with the ... by $1$ goal to $0.$ Germany beat Pakistan by $2$ goals to $1$. Germany beat Spain by $2$ goals to $1.$
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Logical Reasoning
Jan 12, 2016
by
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13.4k
points
180
views
cat2004
logical-reasoning
logic-puzzles
0
votes
0
answers
111
CAT 2004 | Question: 31
Answer the questions based on the information given below: Twenty one participants from four continents (Africa, Americas, Australia, and Europe) attended a United Nations conference. Each participant was an expert in one of four fields, labour ... of health experts from Europe. Number of health experts from Australia Number of experts in refugee relocation from Africa
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Logical Reasoning
Jan 5, 2016
by
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13.4k
points
138
views
cat2004
logical-reasoning
logic-puzzles
0
votes
0
answers
112
CAT 2004 | Question: 27
Answer the questions based on the information given below: Coach John sat with the score cards of Indian players from the $3$ games in a one day cricket tournament where the same set of players played for India and all the major batsman got out ... arranged in a non-increasing order. Which of the players had the best M-index from the tournament? Rahul Saurav Virender Yuvraj
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Logical Reasoning
Jan 5, 2016
by
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13.4k
points
154
views
cat2004
logical-reasoning
logic-puzzles
0
votes
0
answers
113
CAT 2004 | Question: 26
The below question is followed by two statements, A and B. Answer the question using the following instructions. Choose $1$ if the question can be answered by using one of the statements alone but not by using the other statement alone. ... Who spends more on children's education? Zakib spends more on recreation than Supriyo. Supriyo spends more on healthcare than Zakib.
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Logical Reasoning
Jan 4, 2016
by
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13.4k
points
308
views
cat2004
logical-reasoning
logic-puzzles
0
votes
0
answers
114
CAT 2004 | Question: 25
The below question is followed by two statements, A and B. Answer the question using the following instructions. Choose $1$ if the question can be answered by using one of the statements alone but not by using the other statement alone. Choose $2$ if the ... were boys. There were three boys among the top five rank holders, and three girls among the top ten rank holders.
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in
Logical Reasoning
Jan 4, 2016
by
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13.4k
points
333
views
cat2004
logical-reasoning
logic-puzzles
0
votes
0
answers
115
CAT 2004 | Question: 24
The below question is followed by two statements, A and B. Answer the question using the following instructions. Choose $1$ ... the top scorer amongst the other three. The candidate with the lowest score votes for the player with the second highest score.
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Logical Reasoning
Jan 4, 2016
by
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13.4k
points
193
views
cat2004
logical-reasoning
logic-puzzles
0
votes
0
answers
116
CAT 2004 | Question: 23
The below question is followed by two statements, A and B. Answer the question using the following instructions. Choose $1$ if the question can be answered by using one of the statements alone but not by using the other statement alone. Choose $2$ if the ... the article? Nandhini used a total of $13$ currency notes. The price of the article was a multiple of Rs. $10.$
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Logical Reasoning
Jan 4, 2016
by
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13.4k
points
340
views
cat2004
logical-reasoning
logic-puzzles
0
votes
0
answers
117
CAT 2004 | Question: 22
The below question is followed by two statements, A and B. Answer the question using the following instructions. Choose $1$ if the question can be answered by using one of the statements alone but not by using the other statement alone. Choose $2$ if the ... the two marks, At which mark does he stop? He stops after $21$ coin losses. He obtains three more heads than tails
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Logical Reasoning
Jan 4, 2016
by
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13.4k
points
223
views
cat2004
logical-reasoning
logic-puzzles
0
votes
0
answers
118
CAT 2004 | Question: 21
The below question is followed by two statements, A and B. Answer the question using the following instructions. Choose $1$ if the question can be answered by using one of the statements alone but not by using the other statement alone. Choose $2$ if the question can be ... of gourd. $1$ kg potato and $2$ kg onion together cost the same as $1$ kg onion and $2$ kg gourd.
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in
Logical Reasoning
Jan 4, 2016
by
go_editor
13.4k
points
302
views
cat2004
logical-reasoning
logic-puzzles
0
votes
0
answers
119
CAT 2004 | Question: 17
Answer the questions based on the information given below: Purana and Naya are two brands of kitchen mixer-grinders available in the local market. Purana was an old brand that was introduced in $1990,$ while Naya was introduced in $1997.$ For both these brands, ... many Naya mixer-grinders were disposed off at the end of the year $2000?$ $10$ $16$ $22$ Cannot be determined
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Data Interpretation
Jan 4, 2016
by
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13.4k
points
493
views
cat2004
data-interpretation
bar-graph
0
votes
0
answers
120
CAT 2004 | Question: 13
Answer the questions based on the information given below: The Dean's office recently scanned student results into the central computer system. When their character reading software cannot read something it leaves that space blank. The scanner output ... in exactly three courses. In Operations, Tara could have received the same grade as _______ Ismet Hari Jagdeep Manab
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Data Interpretation
Jan 3, 2016
by
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13.4k
points
274
views
cat2004
data-interpretation
tabular-data
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