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Recent questions tagged cat2017-1
2
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1
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41
CAT 2017 Set-1 | Question: 67
Arun's present age in years is $40\%$ of Barun's. In another few years, Arun's age will be half of Barun' s. By what percentage will Barun's age increase during this period? $15$ None of these $25$ $30$
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
211
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cat2017-1
quantitative-aptitude
ages
percentage
0
votes
0
answers
42
CAT 2017 Set-1 | Question: 66
Four cars need to travel from Akala $\text{(A)}$ to Bakala $\text{(B)}$. Two routes are available, one via Mamur $\text{(M)}$ and the other via Nanur $\text{(N)}$. The roads from $\text{A}$ to $\text{M}$, and from $\text{N}$ to $\text{B}$ ... $\text{B}?$ (Assume that the police department would never order all the cars to take the same route.) $26$ $32$ $29.9$ $3$
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Logical Reasoning
Mar 13, 2020
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13.4k
points
110
views
cat2017-1
logical-reasoning
logic-puzzles
0
votes
0
answers
43
CAT 2017 Set-1 | Question: 65
Four cars need to travel from Akala $\text{(A)}$ to Bakala $\text{(B)}$. Two routes are available, one via Mamur $\text{(M)}$ and the other via Nanur $\text{(N)}$. The roads from $\text{A}$ to $\text{M}$, and from $\text{N}$ ... other cars follow the order? (Assume that the police department would never order all the cars to take the same route.) $4$ $0$ $1$ $2$
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Logical Reasoning
Mar 13, 2020
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13.4k
points
145
views
cat2017-1
logical-reasoning
logic-puzzles
0
votes
0
answers
44
CAT 2017 Set-1 | Question: 64
Four cars need to travel from Akala $\text{(A)}$ to Bakala $\text{(B)}$. Two routes are available, one via Mamur $\text{(M)}$ and the other via Nanur $\text{(N)}$. The roads from $\text{A}$ to $\text{M}$, and from $\text{N}$ to $\text{B}$, are both short ... car which takes the route $\text{A-N-B}$ and a car that takes the route $\text{A-M-B}?$ $1$ $0.1$ $0.2$ $0.9$
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Logical Reasoning
Mar 13, 2020
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13.4k
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135
views
cat2017-1
logical-reasoning
logic-puzzles
0
votes
0
answers
45
CAT 2017 Set-1 | Question: 63
Four cars need to travel from Akala $\text{(A)}$ to Bakala $\text{(B)}$. Two routes are available, one via Mamur $\text{(M)}$ and the other via Nanur $\text{(N)}$. The roads from $\text{A}$ to $\text{M}$, and from $\text{N}$ to $\text{B}$ ... would be asked to take the route $\text{A-N-B}$, that is Akala-Nanur-Bakala route, by the police department? $3$ $2$ $1$ $0$
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Logical Reasoning
Mar 13, 2020
by
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13.4k
points
154
views
cat2017-1
logical-reasoning
logic-puzzles
0
votes
0
answers
46
CAT 2017 Set-1 | Question: 61
A new airlines company is planning to start operations in a country. The company has identified ten different cities which they plan to connect through their network to start with. The flight duration between any pair of cities will be less ... $\text{G4}$ Then the minimum number of direct flights that satisfies the underlying principle of the airline is ___________
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Logical Reasoning
Mar 13, 2020
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13.4k
points
1.1k
views
cat2017-1
logical-reasoning
logic-puzzles
numerical-answer
0
votes
0
answers
47
CAT 2017 Set-1 | Question: 62
A new airlines company is planning to start operations in a country. The company has identified ten different cities which they plan to connect through their network to start with. The flight duration between any pair of cities will be less than one ... of direct flights as compared to the situation before the operational difficulties arose? None of these $3$ $0$ $1$
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Logical Reasoning
Mar 13, 2020
by
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13.4k
points
224
views
cat2017-1
logical-reasoning
logic-puzzles
1
vote
1
answer
48
CAT 2017 Set-1 | Question: 72
If a seller gives a discount of $15\%$ on retail price, she still makes a profit of $2\%$. Which of the following ensures that she makes a profit of $20\%$? Give a discount of $5\%$ on retail price Give a discount of $2\%$ on retail price Increase the retail price by $2\%$ Sell at retail price
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
235
views
cat2017-1
quantitative-aptitude
profit-loss
1
vote
1
answer
49
CAT 2017 Set-1 | Question: 71
Ravi invests $50\%$ of his monthly savings in fixed deposits. Thirty percent of the rest of his savings is invested in stocks and the rest goes into Ravi's savings bank account. If the total amount deposited by him in the bank (for savings account and fixed deposits) is Rs $59500$, then Ravi's total monthly savings (in Rs) is $71000$ $63000$ $50000$ $70000$
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
335
views
cat2017-1
quantitative-aptitude
percentage
1
vote
1
answer
50
CAT 2017 Set-1 | Question: 70
A man leaves his home and walks at a speed of $12$ km per hour, reaching the railway station $10$ minutes after the train had departed. If instead he had walked at a speed of $15$ km per hour, he would have reached the station $10$ minutes before the train's departure. The distance (in km) from his home to the railway station is $15$ $16$ $17$ None of these
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
228
views
cat2017-1
quantitative-aptitude
speed-distance-time
1
vote
1
answer
51
CAT 2017 Set-1 | Question: 69
An elevator has a weight limit of $630$ kg. It is carrying a group of people of whom the heaviest weighs $57$ kg and the lightest weighs $53$ kg. What is the maximum possible number of people in the group? $12$ $13$ $11$ $14$
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
232
views
cat2017-1
quantitative-aptitude
average
2
votes
1
answer
52
CAT 2017 Set-1 | Question: 68
A person can complete a job in $120$ days. He works alone on Day $1$. On Day $2$, he is joined by another person who also can complete the job in exactly $120$ days. On Day $3$, they are joined by another person of equal efficiency. Like this, ... a new person with the same efficiency joins the work. How many days are required to complete the job? $15$ $35$ $23$ $40$
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
217
views
cat2017-1
quantitative-aptitude
work-time
1
vote
1
answer
53
CAT 2017 Set-1 | Question: 73
A man travels by a motor boat down a river to his office and back. With the speed of the river unchanged, if he doubles the speed of his motor boat, then his total travel time gets reduced by $75\%$. The ratio of the original speed of the motor boat to the speed of the river is $\sqrt{6}/\sqrt{2}$ $\sqrt{7}/2$ $2\sqrt{5}/3$ $3:2$
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in
Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
261
views
cat2017-1
quantitative-aptitude
speed-distance-time
boat-stream
1
vote
1
answer
54
CAT 2017 Set-1 | Question: 80
A class consists of $20$ boys and $30$ girls. In the mid-semester examination, the average score of the girls was $5$ higher than that of the boys. In the final exam, however, the average score of the girls dropped by $3$ while the average score of the entire class increased by $2$. The increase in the average score of the boys is $9.5$ $10$ $4.5$ $6$
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
207
views
cat2017-1
quantitative-aptitude
average
1
vote
1
answer
55
CAT 2017 Set-1 | Question: 79
If $a$ and $b$ are integers of opposite signs such that $\left ( a+3 \right )^{2}:b^{2}= 9:1$ and $\left ( a-1 \right )^2 : \left ( b-1 \right )^2= 4:1$ , then the ratio $a^{2}:b^{2}$ is $9:4$ $81:4$ $1:4$ $25: 4$
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
143
views
cat2017-1
quantitative-aptitude
ratio-proportion
0
votes
0
answers
56
CAT 2017 Set-1 | Question: 78
If Fatima sells $60$ identical toys at a $40\%$ discount on the printed price, then she makes $20\%$ profit. Ten of these toys are destroyed in fire. While selling the rest, how much discount should be given on the printed price so that she can make the same amount of profit? $30\%$ $25\%$ $24\%$ $28\%$
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
149
views
cat2017-1
quantitative-aptitude
profit-loss
2
votes
1
answer
57
CAT 2017 Set-1 | Question: 77
In a market, the price of medium quality mangoes is half that of good mangoes. A shopkeeper buys $80$ kg good mangoes and $40$ kg medium quality mangoes from the market and then sells all these at a common price which is $10\%$ less than the price at which he bought the good ones. His overall profit is $6\%$ $8\%$ $10\%$ $12\%$
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in
Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
171
views
cat2017-1
quantitative-aptitude
profit-loss
2
votes
1
answer
58
CAT 2017 Set-1 | Question: 76
A stall sells popcorn and chips in packets of three sizes: large, super, and jumbo. The numbers of large, super, and jumbo packets in its stock are in the ratio $7: 17: 16$ for popcorn and $6: 15: 14$ for chips. If the total number of popcorn packets ... packets, then the numbers of jumbo popcorn packets and jumbo chips packets are in the ratio $1:1$ $8:7$ $4:3$ $6:5$
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asked
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
208
views
cat2017-1
quantitative-aptitude
ratio-proportion
1
vote
1
answer
59
CAT 2017 Set-1 | Question: 75
The number of girls appearing for an admission test is twice the number of boys. If $30\%$ of the girls and $45\%$ of the boys get admission, the percentage of candidates who do not get admission is $35$ $50$ $60$ $65$
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
169
views
cat2017-1
quantitative-aptitude
percentage
1
vote
1
answer
60
CAT 2017 Set-1 | Question: 74
Suppose, $\text{C1, C2, C3, C4}$, and $\text{C5}$ are five companies. The profits made by $\text{C1, C2}$, and $\text{C3}$ are in the ratio $9: 10: 8$ while the profits made by $\text{C2, C4}$, and $\text{C5}$ ... crore more than $\text{C1}$, then the total profit (in Rs) made by all five companies is $438$ crore $435$ crore $348$ crore $345$ crore
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
182
views
cat2017-1
quantitative-aptitude
profit-loss
1
vote
1
answer
61
CAT 2017 Set-1 | Question: 86
Let $\text{ABC}$ be a right-angled triangle with $\text{BC}$ as the hypotenuse. Lengths of $\text{AB}$ and $\text{AC}$ are $15$ km and $20$ km, respectively. The minimum possible time, in minutes, required to reach the hypotenuse from $\text{A}$ at a speed of $30$ km per hour is $23$ $22$ None of these $24$
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in
Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
219
views
cat2017-1
quantitative-aptitude
geometry
1
vote
1
answer
62
CAT 2017 Set-1 | Question: 83
Let $\text{ABC}$ be a right-angled isosceles triangle with hypotenuse $\text{BC}$. Let $\text{BQC}$ be a semi-circle, away from A, with diameter $\text{BC}$. Let $\text{BPC}$ be an arc of a circle centered at $\text{A}$ and lying between $\text{BC}$ ... the area, in sq cm, of the region enclosed by $\text{BPC}$ and $\text{BQC}$ is $9 \pi-18$ $18$ $9\pi$ $9$
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
300
views
cat2017-1
quantitative-aptitude
geometry
1
vote
1
answer
63
CAT 2017 Set-1 | Question: 84
A solid metallic cube is melted to form five solid cubes whose volumes are in the ratio $1: 1:8: 27: 27$. The percentage by which the sum of the surface areas of these five cubes exceeds the surface area of the original cube is nearest to $10$ $50$ $60$ $20$
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
142
views
cat2017-1
quantitative-aptitude
mensuration
0
votes
0
answers
64
CAT 2017 Set-1 | Question: 82
From a triangle $\text{ABC}$ with sides of lengths $40$ ft, $25$ ft and $35$ ft, a triangular portion $\text{GBC}$ is cut off where $\text{G}$ is the centroid of $\text{ABC}$. The area, in sq ft, of the remaining portion of triangle $\text{ABC}$ is $225 \sqrt{3} \\$ $\dfrac{500}{ \sqrt{3}} \\$ $\dfrac{275 }{\sqrt{3}} \\$ $\dfrac{250 }{\sqrt{3}} $
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
110
views
cat2017-1
quantitative-aptitude
geometry
1
vote
1
answer
65
CAT 2017 Set-1 | Question: 81
The area of the closed region bounded by the equation $\mid x \mid+\mid y \mid= 2$ in the two-dimensional plane is $4\pi$ $4$ $8$ $2\pi$
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
174
views
cat2017-1
quantitative-aptitude
absolute-value
1
vote
1
answer
66
CAT 2017 Set-1 | Question: 85
A ball of diameter $4$ cm is kept on top of a hollow cylinder standing vertically. The height of the cylinder is $3$ cm, while its volume is $9\pi \;\text{cm}^{3}$. Then the vertical distance, in cm, of the topmost point of the ball from the base of the cylinder is $5$ $4$ $3$ $6$
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
167
views
cat2017-1
quantitative-aptitude
mensuration
0
votes
0
answers
67
CAT 2017 Set-1 | Question: 91
The number of solutions $\left ( x, y, z \right )$ to the equation $x-y-z=25$, where $x, y,$ and $z$ are positive integers such that $x\leq 40,y\leq 12,$ and $z\leq 12,$ is $101$ $99$ $87$ $105$
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
103
views
cat2017-1
quantitative-aptitude
number-systems
1
vote
1
answer
68
CAT 2017 Set-1 | Question: 92
For how many integers $n$, will the inequality $\left ( n-5 \right )\left ( n-10 \right )-3\left ( n-2 \right )\leq 0$ be satisfied? $10$ $11$ $12$ $9$
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
232
views
cat2017-1
quantitative-aptitude
inequalities
1
vote
1
answer
69
CAT 2017 Set-1 | Question: 90
If $9^{2x-1}-81^{x-1}= 1944$ then $x$ is $3$ $9/4$ $4/9$ $1/3$
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
206
views
cat2017-1
quantitative-aptitude
algebra
1
vote
1
answer
70
CAT 2017 Set-1 | Question: 89
The value of $\log_{0.008}\sqrt{5}+\log_{\sqrt{3}}81-7$ is equal to $1/3$ $2/3$ $5/6$ $7/6$
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
179
views
cat2017-1
quantitative-aptitude
logarithms
1
vote
1
answer
71
CAT 2017 Set-1 | Question: 88
If $x+1= x^{2}$ and $x> 0$, then $2x^{4}$ is $6+4\sqrt{5}$ $3+5\sqrt{5}$ $5+3\sqrt{5}$ $7+3\sqrt{5}$
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
253
views
cat2017-1
quantitative-aptitude
algebra
1
vote
1
answer
72
CAT 2017 Set-1 | Question: 87
Suppose, $\log_{3}x= \log_{12}y= a$, where $x, y$ are positive numbers. If $\text{G}$ is the geometric mean of $x$ and $y$, and $\log_{6}\text{G}$ is equal to $\sqrt{a}$ $2a$ $a/2$ $a$
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
193
views
cat2017-1
quantitative-aptitude
geometric-progression
geometric-mean
1
vote
1
answer
73
CAT 2017 Set-1 | Question: 98
In how many ways can $7$ identical erasers be distributed among $4$ kids in such a way that each kid gets at least one eraser but nobody gets more than $3$ erasers? $16$ $20$ $14$ $15$
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
199
views
cat2017-1
quantitative-aptitude
permutation-combination
0
votes
0
answers
74
CAT 2017 Set-1 | Question: 96
The shortest distance of the point $\left ( \frac{1}{2}, 1 \right )$ from the curve $y=\mid x-1 \mid+\mid x+1 \mid$ is $1$ $0$ $\sqrt{2}$ $\sqrt{\dfrac{3}{2}}$
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
139
views
cat2017-1
quantitative-aptitude
absolute-value
1
vote
1
answer
75
CAT 2017 Set-1 | Question: 95
Let $\text{AB, CD, EF, GH}$, and $\text{JK}$ be five diameters of a circle with center at $\text{O}$. In how many ways can three points be chosen out of $\text{A, B, C, D, E, F, G, H, J, K,} $ and $\text{O}$ so as to form a triangle? $160$ $159$ $169$ $150$
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
206
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cat2017-1
quantitative-aptitude
geometry
1
vote
1
answer
76
CAT 2017 Set-1 | Question: 94
If $a, b, c$ and $d$ are integers such that $a+b+c+d=30$ , then the minimum possible value of $( a-b )^{2}+( a-c )^{2}+( a-d)^{2}$ is $1$ $2$ $5$ $6$
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in
Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
161
views
cat2017-1
quantitative-aptitude
algebra
1
vote
1
answer
77
CAT 2017 Set-1 | Question: 93
If $f_{1}\left ( x \right )=x^{2}+11x+n$ and $f_{2}\left ( x \right )=x$, then the largest positive integer $n$ for which the equation $f_{1}\left ( x \right )=f_{2}\left ( x \right )$ has two distinct real roots, is $24$ $23$ $19$ $10$
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
180
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cat2017-1
quantitative-aptitude
quadratic-equations
1
vote
1
answer
78
CAT 2017 Set-1 | Question: 97
If the square of the $7^{\text{th}}$ term of an arithmetic progression with positive common difference equals the products of the $3^{\text{rd}}$ and $17^{\text{th}}$ terms, then the ratio of the first term to the common difference is $2:3$ $3:2$ $3:4$ $4:3$
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
216
views
cat2017-1
quantitative-aptitude
arithmetic-progression
1
vote
1
answer
79
CAT 2017 Set-1 | Question: 99
If $f( x)=\dfrac{5x+2}{ 3x-5}$ and $g( x )=x^{2}-2x-1,$ then the value of $g( f( f( 3 ) ) )$ is $2$ $1/3$ $6$ $2/3$
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
points
189
views
cat2017-1
quantitative-aptitude
functions
1
vote
1
answer
80
CAT 2017 Set-1 | Question: 100
Let $a_{1}, a_{2},\ldots, a_{3n}$ be an arithmetic progression with $a_{1} = 3$ and $a_{2}=7$. If $a_{1}+ a_{2}+\ldots +a_{3n}=1830$, then what is the smallest positive integer $m$ such that $m(a_{1}+ a_{2}+ \ldots + a_{n})>1830$? $8$ $9$ $10$ $11$
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Quantitative Aptitude
Mar 13, 2020
by
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13.4k
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241
views
cat2017-1
quantitative-aptitude
arithmetic-progression
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