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Recent questions tagged cat2018-1

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1
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 ... 's composite score was less than Chetna's composite score, then what is the maximum marks that Bala could have scored in DI ________
asked Mar 20, 2020 in Logical Reasoning go_editor 13.4k points 317 2268 2467 142 views
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2
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 ... score was less than that of Falak. Bala's composite score was less than that of Ester. Bala scored same as Jatin in DI.
asked Mar 20, 2020 in Logical Reasoning go_editor 13.4k points 317 2268 2467 168 views
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3
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 adding it to the sum ... Chetna in DI. Jatin scored more than Indu in GA. Only $2$ Only $1$ Both $1$ and $2$ Both $2$ and $3$
asked Mar 20, 2020 in Logical Reasoning go_editor 13.4k points 317 2268 2467 132 views
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4
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. $\text{P6}$ ... number of pumps at which the contamination levels were recorded as medium? Exactly $8$. More than $4$. At least $8$. At most $9$.
asked Mar 20, 2020 in Logical Reasoning go_editor 13.4k points 317 2268 2467 113 views
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5
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. $\text{P6}$ ... $\text{P17}$ were recorded as the same. Contamination levels at $\text{P11}$ and $\text{P16}$ were recorded as the same.
asked Mar 20, 2020 in Logical Reasoning go_editor 13.4k points 317 2268 2467 95 views
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6
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 pump ... recorded as medium. The contamination level at $\text{P15}$ was recorded as medium. The contamination level at $\text{P18}$ was recorded as low.
asked Mar 20, 2020 in Logical Reasoning go_editor 13.4k points 317 2268 2467 157 views
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7
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: bureaucrats ... administration committee, and $20\%$ are in the teaching committee. What is the number of bureaucrats in the administration committee?
asked Mar 20, 2020 in Logical Reasoning go_editor 13.4k points 317 2268 2467 207 views
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8
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: bureaucrats, ... administration committee, and $20\%$ are in the teaching committee. What is the number of educationalists in the research committee?
asked Mar 20, 2020 in Logical Reasoning go_editor 13.4k points 317 2268 2467 190 views
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9
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: bureaucrats, ... is equal to the number of educationalists. The size of the research committee is less than the size of the teaching committee.
asked Mar 20, 2020 in Logical Reasoning go_editor 13.4k points 317 2268 2467 127 views
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10
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: bureaucrats, ... . The total number of bureaucrats in the three committees. The size of the research committee. The size of the teaching committee.
asked Mar 20, 2020 in Logical Reasoning go_editor 13.4k points 317 2268 2467 141 views
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11
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 ... 's. If all the candidates scored different marks in WE then what is the maximum marks that Harini could have scored in WE _______
asked Mar 20, 2020 in Logical Reasoning go_editor 13.4k points 317 2268 2467 202 views
2 votes
1 answer
12
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 $3/6$ $3/2$ $5/2$ $1/6$
asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.4k points 317 2268 2467 156 views
2 votes
1 answer
13
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 the trader sells the ... $10\%$, then the highest possible cost of paint $\text{B}$, in Rs. per litre, is $26$ $16$ $20$ $22$
asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.4k points 317 2268 2467 250 views
2 votes
1 answer
14
If $\log_2(5+\log_3a)=3$ and $\log_5(4a+12+\log_2b)=3$, then $a+b$ is equal to $67$ $40$ $32$ $59$
asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.4k points 317 2268 2467 189 views
2 votes
1 answer
15
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 $\text{B}$ ... car $2$ is half that of car $1$, then the time, in minutes, taken by car $1$ in reaching $\text{P}$ from $\text{A}$ is ___________
asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.4k points 317 2268 2467 179 views
2 votes
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16
Given that $x^{2018}y^{2017}=1/2$ and $x^{2016}y^{2019}=8$, the value of $x^2+y^3$ is $35/4$ $37/4$ $31/4$ $33/4$
asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.4k points 317 2268 2467 237 views
2 votes
1 answer
17
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 $\sqrt{12}$ $\sqrt{14}$ $\sqrt{13}$ $\sqrt{11}$
asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.4k points 317 2268 2467 119 views
2 votes
1 answer
18
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, ... $6$ draining pipes are on. In how many hours will the empty tank get completely filled when one draining and two filling pipes are on?
asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.4k points 317 2268 2467 228 views
2 votes
1 answer
19
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 _________
asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.4k points 317 2268 2467 254 views
2 votes
1 answer
20
If $x$ is a positive quantity such that $2^x=3^{\log_52}$, then $x$ is equal to $1+\log_3\dfrac{5}{3}$ $\log_58$ $1+\log_5\dfrac{3}{5}$ $\log_59$
asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.4k points 317 2268 2467 169 views
2 votes
1 answer
21
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 process of ... infinitely many such triangles $\text{T1, T2, T3}, \dots$ will be $164\sqrt 3$ $188\sqrt 3$ $248\sqrt 3$ $192\sqrt 3$
asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.4k points 317 2268 2467 169 views
2 votes
1 answer
22
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? $27$ $28$ $26$ $25$
asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.4k points 317 2268 2467 181 views
3 votes
1 answer
23
If among $200$ students, $105$ like pizza and $134$ like burger, then the number of students who like only burger can possibly be $93$ $26$ $23$ $96$
asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.4k points 317 2268 2467 280 views
2 votes
1 answer
24
If $u^2+(u-2v-1)^2=-4v(u+v)$, then what is the value of $u+3v$ ? $1/4$ $0$ $1/2$ $-1/4$
asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.4k points 317 2268 2467 161 views
2 votes
1 answer
25
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 studies $\text{P}$ ... both. If the number of students studying $\text{H}$ equals that studying $\text{E}$, then the number of students studying $\text{H}$ is _________
asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.4k points 317 2268 2467 195 views
2 votes
1 answer
26
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 the distance ... that between $\text{X}$ and $\text{Y}$. How many hours does train $\text{T}$ take for its journey from $\text{X}$ to $\text{Y}$?
asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.4k points 317 2268 2467 235 views
2 votes
1 answer
27
$\log_{12}81=p$, then $3\bigg (\frac{4-p}{4+p}\bigg)$ is equal to $\log_416$ $\log_68$ $\log_616$ $\log_28$
asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.4k points 317 2268 2467 186 views
2 votes
1 answer
28
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 ________
asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.4k points 317 2268 2467 167 views
2 votes
1 answer
29
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 $2:5$ $4:9$ $3:8$ $1:3$
asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.4k points 317 2268 2467 253 views
2 votes
1 answer
30
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 $\text{D}$ are two points on $\text{OA}$ ... $\bigg(\dfrac{\pi}{6} \bigg)^\frac{1}{2} \\$ $\bigg(\dfrac{\pi}{4\sqrt 3} \bigg)^\frac{1}{2}$
asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.4k points 317 2268 2467 248 views
2 votes
1 answer
31
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 $\text{ABCD}?$ $24,10$ $25,9$ $24,12$ $25,10$
asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.4k points 317 2268 2467 126 views
2 votes
1 answer
32
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? $1/4$ $7/33$ $1/5$ $6/19$
asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.4k points 317 2268 2467 221 views
2 votes
1 answer
33
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 ________
asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.4k points 317 2268 2467 260 views
2 votes
1 answer
34
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 of walnuts and $3$ ... making an overall profit of $25\%$. At what price, in Rs. per kg, did the wholesaler buy the walnuts? $98$ $96$ $84$ $86$
asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.4k points 317 2268 2467 262 views
2 votes
1 answer
35
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 $18\sqrt 3$ $24\sqrt 3$ $32\sqrt 3$ $12\sqrt 3$
asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.4k points 317 2268 2467 151 views
2 votes
1 answer
36
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? $\text{N} \leq 200$ $243\leq \text{N} \leq 252$ $\text{N} \geq 253$ $201 \leq \text{N} \leq 242$
asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.4k points 317 2268 2467 177 views
2 votes
1 answer
37
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 ________
asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.4k points 317 2268 2467 208 views
2 votes
1 answer
38
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 _______
asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.4k points 317 2268 2467 223 views
2 votes
1 answer
39
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?
asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.4k points 317 2268 2467 261 views
2 votes
1 answer
40
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 $18:25$ $19:24$ $21:25$ $17:25$
asked Mar 20, 2020 in Quantitative Aptitude go_editor 13.4k points 317 2268 2467 202 views
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