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Recent questions tagged cat2018-1
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CAT 2018 Set-1 | Question: 61
A company administers a written test comprising of three sections of $20$ marks each - Data Interpretation (DI), Written English (WE) and General Awareness (GA), for recruitment. A composite score for a candidate (out of $80$) is calculated ... score was less than Chetna's composite score, then what is the maximum marks that Bala could have scored in DI ________
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Logical Reasoning
Mar 20, 2020
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13.8k
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369
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cat2018-1
logical-reasoning
logic-puzzles
numerical-answer
0
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0
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2
CAT 2018 Set-1 | Question: 60
A company administers a written test comprising of three sections of $20$ marks each - Data Interpretation (DI), Written English (WE) and General Awareness (GA), for recruitment. A composite score for a candidate (out of $80$) is calculated by doubling ... was less than that of Falak. Bala's composite score was less than that of Ester. Bala scored same as Jatin in DI.
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Logical Reasoning
Mar 20, 2020
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13.8k
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382
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cat2018-1
logical-reasoning
logic-puzzles
0
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0
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CAT 2018 Set-1 | Question: 59
A company administers a written test comprising of three sections of $20$ marks each - Data Interpretation (DI), Written English (WE) and General Awareness (GA), for recruitment. A composite score for a candidate (out of $80$) is calculated by doubling her marks in DI and ... DI. Jatin scored more than Indu in GA. Only $2$ Only $1$ Both $1$ and $2$ Both $2$ and $3$
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Logical Reasoning
Mar 20, 2020
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13.8k
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395
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cat2018-1
logical-reasoning
logic-puzzles
0
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0
answers
4
CAT 2018 Set-1 | Question: 56
Fuel contamination levels at each of $20$ petrol pumps $\text{P1, P2}, \dots , \text{P20}$ were recorded as either high, medium, or low. Contamination levels at three pumps among $\text{P1 - P5}$ were recorded as high. $\text{P6}$ was the only ... pumps at which the contamination levels were recorded as medium? Exactly $8$. More than $4$. At least $8$. At most $9$.
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Logical Reasoning
Mar 20, 2020
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13.8k
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347
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cat2018-1
logical-reasoning
logic-puzzles
0
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0
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5
CAT 2018 Set-1 | Question: 58
Fuel contamination levels at each of $20$ petrol pumps $\text{P1, P2}, \dots , \text{P20}$ were recorded as either high, medium, or low. Contamination levels at three pumps among $\text{P1 - P5}$ were recorded as high. $\text{P6}$ was the only ... $\text{P17}$ were recorded as the same. Contamination levels at $\text{P11}$ and $\text{P16}$ were recorded as the same.
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Logical Reasoning
Mar 20, 2020
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13.8k
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309
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cat2018-1
logical-reasoning
logic-puzzles
0
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0
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6
CAT 2018 Set-1 | Question: 57
Fuel contamination levels at each of $20$ petrol pumps $\text{P1, P2}, \dots , \text{P20}$ were recorded as either high, medium, or low. Contamination levels at three pumps among $\text{P1 - P5}$ were recorded as high. $\text{P6}$ was ... medium. The contamination level at $\text{P15}$ was recorded as medium. The contamination level at $\text{P18}$ was recorded as low.
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Logical Reasoning
Mar 20, 2020
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13.8k
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409
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cat2018-1
logical-reasoning
logic-puzzles
0
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0
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7
CAT 2018 Set-1 | Question: 64
Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No two committees are of the same size. Each committee has three types of ... committee, and $20\%$ are in the teaching committee. What is the number of bureaucrats in the administration committee?
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Logical Reasoning
Mar 20, 2020
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13.8k
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434
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cat2018-1
logical-reasoning
statements-conclusions
numerical-answer
0
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0
answers
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CAT 2018 Set-1 | Question: 65
Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No two committees are of the same size. Each committee has three types of people: ... committee, and $20\%$ are in the teaching committee. What is the number of educationalists in the research committee?
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Logical Reasoning
Mar 20, 2020
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13.8k
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415
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cat2018-1
logical-reasoning
statements-conclusions
numerical-answer
0
votes
0
answers
9
CAT 2018 Set-1 | Question: 63
Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No two committees are of the same size. Each committee has three types of ... equal to the number of educationalists. The size of the research committee is less than the size of the teaching committee.
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Logical Reasoning
Mar 20, 2020
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13.8k
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340
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cat2018-1
logical-reasoning
statements-conclusions
0
votes
0
answers
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CAT 2018 Set-1 | Question: 66
Twenty four people are part of three committees which are to look at research, teaching, and administration respectively. No two committees have any member in common. No two committees are of the same size. Each committee has three types of ... total number of bureaucrats in the three committees. The size of the research committee. The size of the teaching committee.
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Logical Reasoning
Mar 20, 2020
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13.8k
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363
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cat2018-1
logical-reasoning
statements-conclusions
0
votes
0
answers
11
CAT 2018 Set-1 | Question: 62
A company administers a written test comprising of three sections of $20$ marks each - Data Interpretation (DI), Written English (WE) and General Awareness (GA), for recruitment. A composite score for a candidate (out of $80$) is calculated ... If all the candidates scored different marks in WE then what is the maximum marks that Harini could have scored in WE _______
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Logical Reasoning
Mar 20, 2020
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13.8k
points
428
views
cat2018-1
logical-reasoning
logic-puzzles
numerical-answer
2
votes
1
answer
12
CAT 2018 Set-1 | Question: 67
Let $x, y, z$ be three positive real numbers in a geometric progression such that $x < y < z$. If $5x$, $16y$, and $12z$ are in an arithmetic progression then the common ratio of the geometric progression is $3/6$ $3/2$ $5/2$ $1/6$
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Quantitative Aptitude
Mar 20, 2020
by
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13.8k
points
529
views
cat2018-1
quantitative-aptitude
arithmetic-progression
geometric-progression
2
votes
1
answer
13
CAT 2018 Set-1 | Question: 72
A trader sells $10$ litres of a mixture of paints $\text{A}$ and $\text{B}$, where the amount of $\text{B}$ in the mixture does not exceed that of $\text{A}$. The cost of paint $\text{A}$ per litre is Rs. $8$ more than that of paint $\text{B}$. If ... makes a profit of $10\%$, then the highest possible cost of paint $\text{B}$, in Rs. per litre, is $26$ $16$ $20$ $22$
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Quantitative Aptitude
Mar 20, 2020
by
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13.8k
points
595
views
cat2018-1
quantitative-aptitude
profit-loss
2
votes
1
answer
14
CAT 2018 Set-1 | Question: 71
If $\log_2(5+\log_3a)=3$ and $\log_5(4a+12+\log_2b)=3$, then $a+b$ is equal to $67$ $40$ $32$ $59$
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Quantitative Aptitude
Mar 20, 2020
by
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13.8k
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552
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cat2018-1
quantitative-aptitude
logarithms
2
votes
1
answer
15
CAT 2018 Set-1 | Question: 70
Point $\text{P}$ lies between points $\text{A}$ and $\text{B}$ such that the length of $\text{BP}$ is thrice that of $\text{AP}$. Car $1$ starts from $\text{A}$ and moves towards $\text{B}$. Simultaneously, car $2$ starts from $\text{B}$ and ... is half that of car $1$, then the time, in minutes, taken by car $1$ in reaching $\text{P}$ from $\text{A}$ is ___________
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Quantitative Aptitude
Mar 20, 2020
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13.8k
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475
views
cat2018-1
quantitative-aptitude
speed-distance-time
numerical-answer
3
votes
1
answer
16
CAT 2018 Set-1 | Question: 69
Given that $x^{2018}y^{2017}=1/2$ and $x^{2016}y^{2019}=8$, the value of $x^2+y^3$ is $35/4$ $37/4$ $31/4$ $33/4$
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Quantitative Aptitude
Mar 20, 2020
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13.8k
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708
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cat2018-1
quantitative-aptitude
algebra
2
votes
1
answer
17
CAT 2018 Set-1 | Question: 73
In a circle, two parallel chords on the same side of a diameter have lengths $4$ cm and $6$ cm. If the distance between these chords is $1$ cm, then the radius of the circle, in cm, is $\sqrt{12}$ $\sqrt{14}$ $\sqrt{13}$ $\sqrt{11}$
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Quantitative Aptitude
Mar 20, 2020
by
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13.8k
points
382
views
cat2018-1
quantitative-aptitude
geometry
2
votes
1
answer
18
CAT 2018 Set-1 | Question: 68
A tank is fitted with pipes, some filling it and the rest draining it. All filling pipes fill at the same rate, and all draining pipes drain at the same rate. The empty tank gets completely filled in $6$ hours when $6$ filling and $5$ ... draining pipes are on. In how many hours will the empty tank get completely filled when one draining and two filling pipes are on?
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Quantitative Aptitude
Mar 20, 2020
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13.8k
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704
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cat2018-1
quantitative-aptitude
work-time
pipes-cistern
numerical-answer
2
votes
1
answer
19
CAT 2018 Set-1 | Question: 79
While multiplying three real numbers, Ashok took one of the numbers as $73$ instead of $37$. As a result, the product went up by $720$. Then the minimum possible value of the sum of squares of the other two numbers is _________
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Quantitative Aptitude
Mar 20, 2020
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13.8k
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699
views
cat2018-1
quantitative-aptitude
number-systems
numerical-answer
2
votes
1
answer
20
CAT 2018 Set-1 | Question: 78
If $x$ is a positive quantity such that $2^x=3^{\log_52}$, then $x$ is equal to $1+\log_3\dfrac{5}{3}$ $\log_58$ $1+\log_5\dfrac{3}{5}$ $\log_59$
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Quantitative Aptitude
Mar 20, 2020
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13.8k
points
519
views
cat2018-1
quantitative-aptitude
logarithms
2
votes
1
answer
21
CAT 2018 Set-1 | Question: 76
Given an equilateral triangle $\text{T1}$ with side $24$ cm, a second triangle $\text{T2}$ is formed by joining the midpoints of the sides of $\text{T1}$. Then a third triangle $\text{T3}$ is formed by joining the midpoints of the sides of $\text{T2}$. If this ... many such triangles $\text{T1, T2, T3}, \dots$ will be $164\sqrt 3$ $188\sqrt 3$ $248\sqrt 3$ $192\sqrt 3$
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Quantitative Aptitude
Mar 20, 2020
by
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13.8k
points
476
views
cat2018-1
quantitative-aptitude
geometry
2
votes
1
answer
22
CAT 2018 Set-1 | Question: 75
In an apartment complex, the number of people aged $51$ years and above is $30$ and there are at most $39$ people whose ages are below $51$ years. The average age of all the people in the apartment complex is $38$ years. What is the largest possible average age, in years, of the people whose ages are below $51$ years? $27$ $28$ $26$ $25$
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Quantitative Aptitude
Mar 20, 2020
by
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13.8k
points
552
views
cat2018-1
quantitative-aptitude
average
3
votes
1
answer
23
CAT 2018 Set-1 | Question: 74
If among $200$ students, $105$ like pizza and $134$ like burger, then the number of students who like only burger can possibly be $93$ $26$ $23$ $96$
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Quantitative Aptitude
Mar 20, 2020
by
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13.8k
points
731
views
cat2018-1
quantitative-aptitude
venn-diagrams
2
votes
1
answer
24
CAT 2018 Set-1 | Question: 77
If $u^2+(u-2v-1)^2=-4v(u+v)$, then what is the value of $u+3v$ ? $1/4$ $0$ $1/2$ $-1/4$
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Quantitative Aptitude
Mar 20, 2020
by
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13.8k
points
532
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cat2018-1
quantitative-aptitude
algebra
2
votes
1
answer
25
CAT 2018 Set-1 | Question: 84
Each of $74$ students in a class studies at least one of the three subjects $\text{H, E}$ and $\text{P}$. Ten students study all three subjects, while twenty study $\text{H}$ and $\text{E}$, but not $\text{P}$. Every student who ... the number of students studying $\text{H}$ equals that studying $\text{E}$, then the number of students studying $\text{H}$ is _________
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Quantitative Aptitude
Mar 20, 2020
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13.8k
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577
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cat2018-1
quantitative-aptitude
venn-diagrams
numerical-answer
2
votes
1
answer
26
CAT 2018 Set-1 | Question: 83
Train $\text{T}$ leaves station $\text{X}$ for station $\text{Y}$ at $3$ pm. Train $S$, traveling at three quarters of the speed of $\text{T}$, leaves $\text{Y}$ for $\text{X}$ at $4$ pm. The two trains pass each other at a station $\text{Z}$, where ... $\text{X}$ and $\text{Y}$. How many hours does train $\text{T}$ take for its journey from $\text{X}$ to $\text{Y}$?
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Quantitative Aptitude
Mar 20, 2020
by
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13.8k
points
567
views
cat2018-1
quantitative-aptitude
speed-distance-time
numerical-answer
2
votes
1
answer
27
CAT 2018 Set-1 | Question: 82
$\log_{12}81=p$, then $3\bigg (\frac{4-p}{4+p}\bigg)$ is equal to $\log_416$ $\log_68$ $\log_616$ $\log_28$
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Quantitative Aptitude
Mar 20, 2020
by
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13.8k
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522
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cat2018-1
quantitative-aptitude
logarithms
2
votes
1
answer
28
CAT 2018 Set-1 | Question: 81
A right circular cone, of height $12$ ft, stands on its base which has diameter $8$ ft. The tip of the cone is cut off with a plane which is parallel to the base and $9$ ft from the base. With $\pi = 22/7$, the volume, in cubic ft, of the remaining part of the cone is ________
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Quantitative Aptitude
Mar 20, 2020
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13.8k
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544
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cat2018-1
quantitative-aptitude
mensuration
numerical-answer
2
votes
1
answer
29
CAT 2018 Set-1 | Question: 80
Points $\text{E, F, G, H}$ lie on the sides $\text{AB, BC, CD}$, and $\text{DA}$, respectively, of a square $\text{ABCD}$. If $\text{EFGH}$ is also a square whose area is $62.5\%$ of that of $\text{ABCD}$ and $\text{CG}$ is longer than $\text{EB}$, then the ratio of length of $\text{EB}$ to that of $\text{CG}$ is $2:5$ $4:9$ $3:8$ $1:3$
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Quantitative Aptitude
Mar 20, 2020
by
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13.8k
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779
views
cat2018-1
quantitative-aptitude
geometry
2
votes
1
answer
30
CAT 2018 Set-1 | Question: 90
In a circle with center $\text{O}$ and radius $1$ cm, an arc $\text{AB}$ makes an angle $60$ degrees at $\text{O}$. Let $\text{R}$ be the region bounded by the radii $\text{OA, OB}$ and the arc $\text{AB}$. If $\text{C}$ and $\text{D}$ ... $\bigg(\dfrac{\pi}{6} \bigg)^\frac{1}{2} \\$ $\bigg(\dfrac{\pi}{4\sqrt 3} \bigg)^\frac{1}{2}$
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Quantitative Aptitude
Mar 20, 2020
by
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13.8k
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628
views
cat2018-1
quantitative-aptitude
geometry
2
votes
1
answer
31
CAT 2018 Set-1 | Question: 88
Let $\text{ABCD}$ be a rectangle inscribed in a circle of radius $13$ cm. Which one of the following pairs can represent, in cm, the possible length and breadth of $\text{ABCD}?$ $24,10$ $25,9$ $24,12$ $25,10$
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Quantitative Aptitude
Mar 20, 2020
by
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13.8k
points
434
views
cat2018-1
quantitative-aptitude
geometry
2
votes
1
answer
32
CAT 2018 Set-1 | Question: 87
Raju and Lalitha originally had marbles in the ratio $4:9$. Then Lalitha gave some of her marbles to Raju. As a result, the ratio of the number of marbles with Raju to that with Lalitha became $5:6$. What fraction of her original number of marbles was given by Lalitha to Raju? $1/4$ $7/33$ $1/5$ $6/19$
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Quantitative Aptitude
Mar 20, 2020
by
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13.8k
points
568
views
cat2018-1
quantitative-aptitude
ratio-proportion
2
votes
1
answer
33
CAT 2018 Set-1 | Question: 86
A $\text{CAT}$ aspirant appears for a certain number of tests. His average score increases by $1$ if the first $10$ tests are not considered, and decreases by $1$ if the last $10$ tests are not considered. If his average scores for the first $10$ and the last $10$ tests are $20$ and $30$, respectively, then the total number of tests taken by him is ________
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Quantitative Aptitude
Mar 20, 2020
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13.8k
points
621
views
cat2018-1
quantitative-aptitude
average
numerical-answer
2
votes
1
answer
34
CAT 2018 Set-1 | Question: 85
A wholesaler bought walnuts and peanuts, the price of walnut per kg being thrice that of peanut per kg. He then sold $8$ kg of peanuts at a profit of $10\%$ and $16$ kg of walnuts at a profit of $20\%$ to a shopkeeper. However, the shopkeeper lost $5$ kg ... overall profit of $25\%$. At what price, in Rs. per kg, did the wholesaler buy the walnuts? $98$ $96$ $84$ $86$
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Quantitative Aptitude
Mar 20, 2020
by
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13.8k
points
660
views
cat2018-1
quantitative-aptitude
profit-loss
2
votes
1
answer
35
CAT 2018 Set-1 | Question: 89
In a parallelogram $\text{ABCD}$ of area $72$ sq cm, the sides $\text{CD}$ and $\text{AD}$ have lengths $9$ cm and $16$ cm, respectively. Let $\text{P}$ be a point on $\text{CD}$ such that $\text{AP}$ is perpendicular to $\text{CD}$. Then the area, in sq cm, of triangle $\text{APD}$ is $18\sqrt 3$ $24\sqrt 3$ $32\sqrt 3$ $12\sqrt 3$
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Quantitative Aptitude
Mar 20, 2020
by
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13.8k
points
478
views
cat2018-1
quantitative-aptitude
geometry
2
votes
1
answer
36
CAT 2018 Set-1 | Question: 94
In an examination, the maximum possible score is $\text{N}$ while the pass mark is $45\%$ of $\text{N}$. A candidate obtains $36$ marks, but falls short of the pass mark by $68\%$. Which one of the following is then correct? $\text{N} \leq 200$ $243\leq \text{N} \leq 252$ $\text{N} \geq 253$ $201 \leq \text{N} \leq 242$
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Quantitative Aptitude
Mar 20, 2020
by
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13.8k
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592
views
cat2018-1
quantitative-aptitude
percentage
2
votes
1
answer
37
CAT 2018 Set-1 | Question: 93
If $f(x+2)=f(x)+f(x+1)$ for all positive integers $x$, and $f(11)=91,f(15)=617$, then $f(10)$ equals ________
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Quantitative Aptitude
Mar 20, 2020
by
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13.8k
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535
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cat2018-1
quantitative-aptitude
functions
numerical-answer
2
votes
1
answer
38
CAT 2018 Set-1 | Question: 92
The number of integers $x$ such that $0.25 < 2^x < 200$, and $2^x +2$ is perfectly divisible by either $3$ or $4$, is _______
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Quantitative Aptitude
Mar 20, 2020
by
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13.8k
points
670
views
cat2018-1
quantitative-aptitude
number-systems
numerical-answer
2
votes
1
answer
39
CAT 2018 Set-1 | Question: 91
How many numbers with two or more digits can be formed with the digits $1,2,3,4,5,6,7,8,9$, so that in every such number, each digit is used at most once and the digits appear in the ascending order?
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Quantitative Aptitude
Mar 20, 2020
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13.8k
points
664
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cat2018-1
quantitative-aptitude
permutation-combination
numerical-answer
2
votes
1
answer
40
CAT 2018 Set-1 | Question: 95
Two types of tea, $\text{A}$ and $\text{B}$, are mixed and then sold at Rs. $40$ per kg. The profit is $10\%$ if $\text{A}$ and $\text{B}$ are mixed in the ratio $3 : 2$, and $5\%$ if this ratio is $2 : 3$. The cost prices, per kg, of $\text{A}$ and $\text{B}$ are in the ratio $18:25$ $19:24$ $21:25$ $17:25$
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Quantitative Aptitude
Mar 20, 2020
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13.8k
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578
views
cat2018-1
quantitative-aptitude
alligation-mixture
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