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Recent questions tagged cat2018-1
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CAT2018-1: 58
Fuel contamination levels at each of $20$ petrol pumps $P1, P2, \dots , P20$ were recorded as either high, medium, or low. Contamination levels at three pumps among $P1 - P5$ were recorded as high. $P6$ was the only pump among $P1 - P10$ where ... same. Contamination levels at $P13$ and $P17$ were recorded as the same. Contamination levels at P11 and P16 were recorded as the same.
Fuel contamination levels at each of $20$ petrol pumps $P1, P2, \dots , P20$ were recorded as either high, medium, or low. Contamination levels at three pumps among $P1 - P5$ were recorded as high. $P6$ was the only pump among $P1 - P10$ where the ... the same. Contamination levels at $P13$ and $P17$ were recorded as the same. Contamination levels at P11 and P16 were recorded as the same.
asked
Mar 20, 2020
in
Logical Reasoning
jothee
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cat2018-1
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CAT2018-1: 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 adding it to ... in DI. Jatin scored more than Indu in GA. Only $2$ Only $1$ Both $1$ and $2$ Both $2$ and $3$
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
jothee
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cat2018-1
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CAT2018-1: 57
Fuel contamination levels at each of $20$ petrol pumps $P1, P2, \dots , P20$ were recorded as either high, medium, or low. Contamination levels at three pumps among $P1 - P5$ were recorded as high. $P6$ was the only pump among $P1 - P10$ where ... $P15$ was recorded as medium. The contamination level at $P18$ was recorded as low.
Fuel contamination levels at each of $20$ petrol pumps $P1, P2, \dots , P20$ were recorded as either high, medium, or low. Contamination levels at three pumps among $P1 - P5$ were recorded as high. $P6$ was the only pump among $P1 - P10$ where the ... $P14$ was recorded as medium. The contamination level at $P15$ was recorded as medium. The contamination level at $P18$ was recorded as low.
asked
Mar 20, 2020
in
Logical Reasoning
jothee
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cat2018-1
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CAT2018-1: 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 by doubling ... composite score was less than Chetna's composite score, then what is the maximum marks that Bala could have scored in DI? ________
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? ________
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Mar 20, 2020
in
Logical Reasoning
jothee
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cat2018-1
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CAT2018-1: 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 her marks ... score was less than that of Falak. Bala's composite score was less than that of Ester. Bala scored same as Jatin in DI.
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
jothee
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cat2018-1
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CAT2018-1: 56
Fuel contamination levels at each of $20$ petrol pumps $P1, P2, \dots , P20$ were recorded as either high, medium, or low. Contamination levels at three pumps among $P1 - P5$ were recorded as high. $P6$ was the only pump among $P1 - P10$ where the contamination ... pumps at which the contamination levels were recorded as medium? Exactly $8$. More than $4$. At least $8$. At most $9$.
Fuel contamination levels at each of $20$ petrol pumps $P1, P2, \dots , P20$ were recorded as either high, medium, or low. Contamination levels at three pumps among $P1 - P5$ were recorded as high. $P6$ was the only pump among $P1 - P10$ where the contamination level was ... 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
jothee
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cat2018-1
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CAT2018-1: 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: ... administration committee, and $20\%$ are in the teaching committee. What is the number of educationalists in the research committee?
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
jothee
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cat2018-1
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CAT2018-1: 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 people: ... The total number of bureaucrats in the three committees. The size of the research committee. The size of the teaching committee.
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
jothee
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cat2018-1
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CAT2018-1: 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 people: ... administration committee, and $20\%$ are in the teaching committee. What is the number of bureaucrats in the administration committee?
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
jothee
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cat2018-1
numerical-answer
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CAT2018-1: 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 $3/6$ $3/2$ $5/2$ $1/6$
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
jothee
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cat2018-1
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11
CAT2018-1: 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 people: ... equal to the number of educationalists. The size of the research committee is less than the size of the teaching committee.
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
jothee
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cat2018-1
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CAT2018-1: 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 by doubling her ... . If all the candidates scored different marks in WE then what is the maximum marks that Harini could have scored in WE? _____
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 ... '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
jothee
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cat2018-1
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13
CAT2018-1: 72
A trader sells $10$ litres of a mixture of paints $A$ and $B$, where the amount of $B$ in the mixture does not exceed that of $A$. The cost of paint $A$ per litre is Rs. $8$ more than that of paint $B$. If the trader sells the entire mixture for Rs. $264$ and makes a profit of $10\%$, then the highest possible cost of paint $B$, in Rs. per litre, is $26$ $16$ $20$ $22$
A trader sells $10$ litres of a mixture of paints $A$ and $B$, where the amount of $B$ in the mixture does not exceed that of $A$. The cost of paint $A$ per litre is Rs. $8$ more than that of paint $B$. If the trader sells the entire mixture for Rs. $264$ and makes a profit of $10\%$, then the highest possible cost of paint $B$, in Rs. per litre, is $26$ $16$ $20$ $22$
asked
Mar 20, 2020
in
Quantitative Aptitude
jothee
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cat2018-1
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14
CAT2018-1: 70
Point $P$ lies between points $A$ and $B$ such that the length of $BP$ is thrice that of $AP$. Car $1$ starts from $A$ and moves towards $B$. Simultaneously, car $2$ starts from $B$ and moves towards $A$. Car $2$ reaches $P$ one hour after car $1$ ... speed of car $2$ is half that of car $1$, then the time, in minutes, taken by car $1$ in reaching $P$ from $A$ is _________.
Point $P$ lies between points $A$ and $B$ such that the length of $BP$ is thrice that of $AP$. Car $1$ starts from $A$ and moves towards $B$. Simultaneously, car $2$ starts from $B$ and moves towards $A$. Car $2$ reaches $P$ one hour after car $1$ reaches $P$. If the speed of car $2$ is half that of car $1$, then the time, in minutes, taken by car $1$ in reaching $P$ from $A$ is _________.
asked
Mar 20, 2020
in
Quantitative Aptitude
jothee
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1254
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cat2018-1
numerical-answer
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CAT2018-1: 69
Given that $x^{2018}y^{2017}=1/2$ and $x^{2016}y^{2019}=8$, the value of $x^2+y^3$ is $35/4$ $37/4$ $31/4$ $33/4$
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
jothee
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67
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cat2018-1
0
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16
CAT2018-1: 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 $\sqrt{12}$ $\sqrt{14}$ $\sqrt{13}$ $\sqrt{11}$
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
jothee
11.5k
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1254
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56
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cat2018-1
0
votes
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17
CAT2018-1: 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 ... draining pipes are on. In how many hours will the empty tank get completely filled when one draining and two filling pipes are on?
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
jothee
11.5k
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1254
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cat2018-1
numerical-answer
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18
CAT2018-1: 71
If $\log_2(5+\log_3a)=3$ and $\log_5(4a+12+\log_2b)=3$, then $a+b$ is equal to $67$ $40$ $32$ $59$
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
jothee
11.5k
points
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53
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cat2018-1
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19
CAT2018-1: 74
If among $200$ students, $105$ like pizza and $134$ like burger, then the number of students who like only burger can possibly be $93$ $26$ $23$ $96$
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
jothee
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1254
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cat2018-1
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20
CAT2018-1: 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? $27$ $28$ $26$ $25$
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
jothee
11.5k
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cat2018-1
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21
CAT2018-1: 76
Given an equilateral triangle $T1$ with side $24$ cm, a second triangle $T2$ is formed by joining the midpoints of the sides of $T1$. Then a third triangle T3 is formed by joining the midpoints of the sides of $T2$. If this process of forming triangles is continued, the sum ... many such triangles $T1, T2, T3, \dots$ will be $164\sqrt 3$ $188\sqrt 3$ $248\sqrt 3$ $192\sqrt 3$
Given an equilateral triangle $T1$ with side $24$ cm, a second triangle $T2$ is formed by joining the midpoints of the sides of $T1$. Then a third triangle T3 is formed by joining the midpoints of the sides of $T2$. If this process of forming triangles is continued, the sum of the ... of infinitely many such triangles $T1, T2, T3, \dots$ will be $164\sqrt 3$ $188\sqrt 3$ $248\sqrt 3$ $192\sqrt 3$
asked
Mar 20, 2020
in
Quantitative Aptitude
jothee
11.5k
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1254
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60
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cat2018-1
0
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22
CAT2018-1: 77
If $u^2+(u-2v-1)^2=-4v(u+v)$, then what is the value of $u+3v$ ? $1/4$ $0$ $1/2$ $-1/4$
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
jothee
11.5k
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cat2018-1
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23
CAT2018-1: 78
If $x$ is a positive quantity such that $2^x=3^{\log_52}$, then $x$ is equal to $1+\log_3\dfrac{5}{3}$ $\log_58$ $1+\log_5\dfrac{3}{5}$ $\log_59$
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
jothee
11.5k
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cat2018-1
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24
CAT2018-1: 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 _________
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
jothee
11.5k
points
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209
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1254
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cat2018-1
numerical-answer
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25
CAT2018-1: 80
Points $E, F, G, H$ lie on the sides $AB, BC, CD$, and $DA$, respectively, of a square $ABCD$. If $EFGH$ is also a square whose area is $62.5\%$ of that of $ABCD$ and $CG$ is longer than $EB$, then the ratio of length of $EB$ to that of $CG$ is $2:5$ $4:9$ $3:8$ $1:3$
Points $E, F, G, H$ lie on the sides $AB, BC, CD$, and $DA$, respectively, of a square $ABCD$. If $EFGH$ is also a square whose area is $62.5\%$ of that of $ABCD$ and $CG$ is longer than $EB$, then the ratio of length of $EB$ to that of $CG$ is $2:5$ $4:9$ $3:8$ $1:3$
asked
Mar 20, 2020
in
Quantitative Aptitude
jothee
11.5k
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cat2018-1
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26
CAT2018-1: 84
Each of $74$ students in a class studies at least one of the three subjects $H, E$ and $P$. Ten students study all three subjects, while twenty study $H$ and $E$, but not $P$. Every student who studies $P$ also studies $H$ or $E$ or both. If the number of students studying $H$ equals that studying $E$, then the number of students studying $H$ is _________
Each of $74$ students in a class studies at least one of the three subjects $H, E$ and $P$. Ten students study all three subjects, while twenty study $H$ and $E$, but not $P$. Every student who studies $P$ also studies $H$ or $E$ or both. If the number of students studying $H$ equals that studying $E$, then the number of students studying $H$ is _________
asked
Mar 20, 2020
in
Quantitative Aptitude
jothee
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cat2018-1
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CAT2018-1: 83
Train $T$ leaves station $X$ for station $Y$ at $3$ pm. Train $S$, traveling at three quarters of the speed of $T$, leaves $Y$ for $X$ at $4$ pm. The two trains pass each other at a station $Z$, where the distance between $X$ and $Z$ is three-fifths of that between $X$ and $Y$. How many hours does train $T$ take for its journey from $X$ to $Y$?
Train $T$ leaves station $X$ for station $Y$ at $3$ pm. Train $S$, traveling at three quarters of the speed of $T$, leaves $Y$ for $X$ at $4$ pm. The two trains pass each other at a station $Z$, where the distance between $X$ and $Z$ is three-fifths of that between $X$ and $Y$. How many hours does train $T$ take for its journey from $X$ to $Y$?
asked
Mar 20, 2020
in
Quantitative Aptitude
jothee
11.5k
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cat2018-1
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28
CAT2018-1: 82
$\log_{12}81=p$, then $3\bigg (\frac{4-p}{4+p}\bigg)$ is equal to $\log_416$ $\log_68$ $\log_616$ $\log_28$
$\log_{12}81=p$, then $3\bigg (\frac{4-p}{4+p}\bigg)$ is equal to $\log_416$ $\log_68$ $\log_616$ $\log_28$
asked
Mar 20, 2020
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Quantitative Aptitude
jothee
11.5k
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209
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1254
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2281
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cat2018-1
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29
CAT2018-1: 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 ________
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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Mar 20, 2020
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Quantitative Aptitude
jothee
11.5k
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209
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1254
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2281
52
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cat2018-1
numerical-answer
0
votes
0
answers
30
CAT2018-1: 89
In a parallelogram $ABCD$ of area $72$ sq cm, the sides $CD$ and $AD$ have lengths $9$ cm and $16$ cm, respectively. Let $P$ be a point on $CD$ such that $AP$ is perpendicular to $CD$. Then the area, in sq cm, of triangle $APD$ is $18\sqrt 3$ $24\sqrt 3$ $32\sqrt 3$ $12\sqrt 3$
In a parallelogram $ABCD$ of area $72$ sq cm, the sides $CD$ and $AD$ have lengths $9$ cm and $16$ cm, respectively. Let $P$ be a point on $CD$ such that $AP$ is perpendicular to $CD$. Then the area, in sq cm, of triangle $APD$ is $18\sqrt 3$ $24\sqrt 3$ $32\sqrt 3$ $12\sqrt 3$
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Mar 20, 2020
in
Quantitative Aptitude
jothee
11.5k
points
●
209
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1254
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2281
59
views
cat2018-1
0
votes
0
answers
31
CAT2018-1: 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 of walnuts ... an overall profit of $25\%$. At what price, in Rs. per kg, did the wholesaler buy the walnuts? $98$ $96$ $84$ $86$
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? $98$ $96$ $84$ $86$
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Mar 20, 2020
in
Quantitative Aptitude
jothee
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points
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209
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1254
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2281
48
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cat2018-1
0
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0
answers
32
CAT2018-1: 86
A 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 ________
A 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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Mar 20, 2020
in
Quantitative Aptitude
jothee
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209
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1254
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2281
81
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cat2018-1
numerical-answer
0
votes
0
answers
33
CAT2018-1: 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? $1/4$ $7/33$ $1/5$ $6/19$
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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Mar 20, 2020
in
Quantitative Aptitude
jothee
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209
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1254
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2281
67
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cat2018-1
0
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0
answers
34
CAT2018-1: 88
Let $ABCD$ 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 $ABCD$? $24,10$ $25,9$ $24,12$ $25,10$
Let $ABCD$ 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 $ABCD$? $24,10$ $25,9$ $24,12$ $25,10$
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Mar 20, 2020
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Quantitative Aptitude
jothee
11.5k
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209
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1254
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2281
60
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cat2018-1
0
votes
0
answers
35
CAT2018-1: 90
In a circle with center $O$ and radius $1$ cm, an arc $AB$ makes an angle $60$ degrees at $O$. Let $R$ be the region bounded by the radii $OA$, $OB$ and the arc $AB$. If $C$ and $D$ are two points on $OA$ and $OB$, respectively, such that $OC = OD$ and the area of triangle ... $\bigg(\dfrac{\pi}{6} \bigg)^\frac{1}{2} \\$ $\bigg(\dfrac{\pi}{4\sqrt 3} \bigg)^\frac{1}{2}$
In a circle with center $O$ and radius $1$ cm, an arc $AB$ makes an angle $60$ degrees at $O$. Let $R$ be the region bounded by the radii $OA$, $OB$ and the arc $AB$. If $C$ and $D$ are two points on $OA$ and $OB$, respectively, such that $OC = OD$ and the area of triangle $OCD$ is ... $\bigg(\dfrac{\pi}{6} \bigg)^\frac{1}{2} \\$ $\bigg(\dfrac{\pi}{4\sqrt 3} \bigg)^\frac{1}{2}$
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Mar 20, 2020
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Quantitative Aptitude
jothee
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209
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1254
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2281
63
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cat2018-1
0
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0
answers
36
CAT2018-1: 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?
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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Mar 20, 2020
in
Quantitative Aptitude
jothee
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209
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1254
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2281
83
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cat2018-1
numerical-answer
0
votes
0
answers
37
CAT2018-1: 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 _______
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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Mar 20, 2020
in
Quantitative Aptitude
jothee
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209
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1254
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2281
71
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cat2018-1
numerical-answer
0
votes
0
answers
38
CAT2018-1: 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 ________
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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Mar 20, 2020
in
Quantitative Aptitude
jothee
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209
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1254
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2281
42
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cat2018-1
numerical-answer
0
votes
0
answers
39
CAT2018-1: 94
In an examination, the maximum possible score is $N$ while the pass mark is $45\%$ of $N$. A candidate obtains $36$ marks, but falls short of the pass mark by $68\%$. Which one of the following is then correct? $N\leq 200$ $243\leq N\leq 252$ $N\geq 253$ $201\leq N\leq 242$
In an examination, the maximum possible score is $N$ while the pass mark is $45\%$ of $N$. A candidate obtains $36$ marks, but falls short of the pass mark by $68\%$. Which one of the following is then correct? $N\leq 200$ $243\leq N\leq 252$ $N\geq 253$ $201\leq N\leq 242$
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Mar 20, 2020
in
Quantitative Aptitude
jothee
11.5k
points
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209
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1254
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2281
65
views
cat2018-1
0
votes
0
answers
40
CAT2018-1: 95
Two types of tea, $A$ and $B$, are mixed and then sold at Rs. $40$ per kg. The profit is $10\%$ if $A$ and $B$ are mixed in the ratio $3 : 2$, and $5\%$ if this ratio is $2 : 3$. The cost prices, per kg, of $A$ and $B$ are in the ratio $18:25$ $19:24$ $21:25$ $17:25$
Two types of tea, $A$ and $B$, are mixed and then sold at Rs. $40$ per kg. The profit is $10\%$ if $A$ and $B$ are mixed in the ratio $3 : 2$, and $5\%$ if this ratio is $2 : 3$. The cost prices, per kg, of $A$ and $B$ are in the ratio $18:25$ $19:24$ $21:25$ $17:25$
asked
Mar 20, 2020
in
Quantitative Aptitude
jothee
11.5k
points
●
209
●
1254
●
2281
53
views
cat2018-1
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