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Recent questions tagged quantitative-aptitude
3
votes
2
answers
361
CAT 2018 Set-2 | Question: 90
If the sum of squares of two numbers is $97$, then which one of the following cannot be their product? $-32$ $48$ $64$ $16$
If the sum of squares of two numbers is $97$, then which one of the following cannot be their product?$-32$$48$$64$$16$
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13.9k
points
821
views
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asked
Mar 20, 2020
Quantitative Aptitude
cat2018-2
quantitative-aptitude
number-systems
+
–
2
votes
1
answer
362
CAT 2018 Set-2 | Question: 89
The arithmetic mean of $x,y$ and $z$ is $80$, and that of $x,y,z,u$ and $v$ is $75$, where $u=\left (x+y \right)/2$ and $v=\left (y+z \right)/2$. If $x\geq z$, then the minimum possible value of $x$ is ____________
The arithmetic mean of $x,y$ and $z$ is $80$, and that of $x,y,z,u$ and $v$ is $75$, where $u=\left (x+y \right)/2$ and $v=\left (y+z \right)/2$. If $x\geq z$, then the m...
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13.9k
points
709
views
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asked
Mar 20, 2020
Quantitative Aptitude
cat2018-2
quantitative-aptitude
speed-distance-time
numerical-answer
+
–
2
votes
1
answer
363
CAT 2018 Set-2 | Question: 88
Points $\text{A}$ and $\text{B}$ are $150$ km apart. Cars $1$ and $2$ travel from $\text{A}$ to $\text{B}$, but car $2$ starts from $\text{A}$ when car $1$ is already $20$ km away from $\text{A}$. Each car travels at a speed of $100$ kmph ... $25$ kmph for the last $50$ km. The distance, in km, between car $2$ and $\text{B}$ when car $1$ reaches $\text{B}$ is ________
Points $\text{A}$ and $\text{B}$ are $150$ km apart. Cars $1$ and $2$ travel from $\text{A}$ to $\text{B}$, but car $2$ starts from $\text{A}$ when car $1$ is already $20...
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13.9k
points
752
views
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asked
Mar 20, 2020
Quantitative Aptitude
cat2018-2
quantitative-aptitude
speed-distance-time
numerical-answer
+
–
2
votes
1
answer
364
CAT 2018 Set-2 | Question: 87
Let $a_{1},a_{2},\dots , a_{52}$ be a positive integers such that $a_{1}<a_{2}<\dots < a_{52}$. Suppose, their arithmetic mean is one less than the arithmetic mean of $a_{2},a_{3},\dots , a_{52}$. If $a_{52}=100$ , then the largest possible value of $a_{1}$ is ________ $20$ $23$ $48$ $45$
Let $a_{1},a_{2},\dots , a_{52}$ be a positive integers such that $a_{1}<a_{2}<\dots < a_{52}$. Suppose, their arithmetic mean is one less than the arithmetic mean of $a...
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13.9k
points
750
views
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asked
Mar 20, 2020
Quantitative Aptitude
cat2018-2
quantitative-aptitude
arithmetic-progression
arithmetic-mean
+
–
3
votes
1
answer
365
CAT 2018 Set-2 | Question: 86
A parallelogram $\text{ABCD}$ has area $48$ sqcm. If the length of $\text{CD}$ is $8$ cm and that of $\text{AD}$ is $s$ cm, then which one of the following is necessarily true? $s\geq6$ $s\neq6$ $s\leq6$ $5\leq s\leq7$
A parallelogram $\text{ABCD}$ has area $48$ sqcm. If the length of $\text{CD}$ is $8$ cm and that of $\text{AD}$ is $s$ cm, then which one of the following is necessarily...
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13.9k
points
896
views
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asked
Mar 20, 2020
Quantitative Aptitude
cat2018-2
quantitative-aptitude
geometry
+
–
1
votes
0
answers
366
CAT 2018 Set-2 | Question: 85
If $\text{A}=\left \{6^{2n} - 35n - 1: n=1,2,3 \dots \right \}$ and $\text{B}= \left \{35\left (n - 1 \right ) : n=1,2,3\dots \right \}$ then which of the following is true? Neither every member of $\text{A}$ is in $\text{B}$ nor every member of ... $\text{A}$ Every member of $\text{B}$ is in $\text{A}$ At least one member of $\text{A}$ is not in $\text{B}$
If $\text{A}=\left \{6^{2n} – 35n – 1: n=1,2,3 \dots \right \}$ and $\text{B}= \left \{35\left (n – 1 \right ) : n=1,2,3\dots \right \}$ then which of the followin...
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13.9k
points
432
views
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asked
Mar 20, 2020
Quantitative Aptitude
cat2018-2
quantitative-aptitude
number-systems
+
–
2
votes
1
answer
367
CAT 2018 Set-2 | Question: 96
From a rectangle $\text{ABCD}$ of area $768$ sq cm, a semicircular part with diameter $\text{AB}$ and area $72\pi$ sq cm is removed. The perimeter of the leftover portion, in cm, is $80 + 16\pi$ $86+8\pi$ $82+24\pi$ $88+12\pi$
From a rectangle $\text{ABCD}$ of area $768$ sq cm, a semicircular part with diameter $\text{AB}$ and area $72\pi$ sq cm is removed. The perimeter of the leftover portion...
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13.9k
points
640
views
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asked
Mar 20, 2020
Quantitative Aptitude
cat2018-2
quantitative-aptitude
geometry
+
–
3
votes
1
answer
368
CAT 2018 Set-2 | Question: 95
The scores of Amal and Bimal in an examination are in the ratio $11: 14$. After an appeal, their scores increase by the same amount and their new scores are in the ratio $47 : 56$. The ratio of Bimal's new score to that of his original score is $5:4$ $8:5$ $4:3$ $3:2$
The scores of Amal and Bimal in an examination are in the ratio $11: 14$. After an appeal, their scores increase by the same amount and their new scores are in the ratio ...
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13.9k
points
785
views
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asked
Mar 20, 2020
Quantitative Aptitude
cat2018-2
quantitative-aptitude
ratio-proportion
+
–
3
votes
1
answer
369
CAT 2018 Set-2 | Question: 94
The area of a rectangle and the square of its perimeter are in the ratio $1:25$. Then the lengths of the shorter and longer sides of the rectangle are in the ratio $1:4$ $2:9$ $1:3$ $3:8$
The area of a rectangle and the square of its perimeter are in the ratio $1:25$. Then the lengths of the shorter and longer sides of the rectangle are in the ratio$1:4$$2...
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13.9k
points
719
views
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asked
Mar 20, 2020
Quantitative Aptitude
cat2018-2
quantitative-aptitude
geometry
+
–
0
votes
0
answers
370
CAT 2018 Set-2 | Question: 93
The strength of a salt solution is $p\%$ if $100$ ml of the solution contains $p$ grams of salt. If three salt solutions $\text{A, B, C}$ are mixed in the proportion $1:2:3$, then the resulting solution has strength $20\%$. If instead the proportion is $3:2:1$, then the ... $\text{D}$ to that of $\text{A}$ is $2:5$ $1:3$ $1:4$ $3:10$
The strength of a salt solution is $p\%$ if $100$ ml of the solution contains $p$ grams of salt. If three salt solutions $\text{A, B, C}$ are mixed in the proportion $1:2...
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13.9k
points
470
views
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asked
Mar 20, 2020
Quantitative Aptitude
cat2018-2
quantitative-aptitude
alligation-mixture
+
–
2
votes
1
answer
371
CAT 2018 Set-2 | Question: 91
For two sets $\text{A}$ and $\text{B}$, let $\text{A} \triangle \text{B}$ denote the set of elements which belong to $\text{A}$ or $\text{B}$ ... $(\text{P} \triangle \text{Q}) \triangle (\text{R}\triangle \text{S})$ is $9$ $7$ $6$ $8$
For two sets $\text{A}$ and $\text{B}$, let $\text{A} \triangle \text{B}$ denote the set of elements which belong to $\text{A}$ or $\text{B}$ but not both. If $\text{P} =...
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13.9k
points
698
views
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asked
Mar 20, 2020
Quantitative Aptitude
cat2018-2
quantitative-aptitude
venn-diagrams
+
–
2
votes
1
answer
372
CAT 2018 Set-2 | Question: 92
The smallest integer $n$ for which $4^{n}>17^{19}$ holds, is closest to $33$ $37$ $39$ $35$
The smallest integer $n$ for which $4^{n}>17^{19}$ holds, is closest to$33$$37$$39$$35$
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13.9k
points
650
views
go_editor
asked
Mar 20, 2020
Quantitative Aptitude
cat2018-2
quantitative-aptitude
number-systems
+
–
2
votes
1
answer
373
CAT 2018 Set-2 | Question: 99
Points $\text{A, P, Q}$ and $\text{B}$ lie on the same line such that $\text{P, Q}$ and $\text{B}$ are, respectively, $100$ km, $200$ km and $300$ km away from $\text{A}$. Cars $1$ and $2$ leave $\text{A}$ ... car is moving in uniform speed then the ratio of the speed of car $2$ to that of car $1$ is $1:2$ $2:9$ $1:4$ $2:7$
Points $\text{A, P, Q}$ and $\text{B}$ lie on the same line such that $\text{P, Q}$ and $\text{B}$ are, respectively, $100$ km, $200$ km and $300$ km away from $\text{A}$...
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13.9k
points
697
views
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asked
Mar 20, 2020
Quantitative Aptitude
cat2018-2
quantitative-aptitude
speed-distance-time
+
–
1
votes
1
answer
374
CAT 2018 Set-2 | Question: 98
There are two drums, each containing a mixture of paints $\text{A}$ and $\text{B}$. In drum $1, \text{A}$ and $\text{B}$ are in the ratio $18: 7$. The mixtures from drums $1$ and $2$ are mixed in the ratio $3: 4$ and in this final mixture, $\text{A}$ and ... $2$, then $\text{A}$ and $\text{B}$ were in the ratio $229:141$ $220:149$ $239: 161$ $251: 163$
There are two drums, each containing a mixture of paints $\text{A}$ and $\text{B}$. In drum $1, \text{A}$ and $\text{B}$ are in the ratio $18: 7$. The mixtures from drums...
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13.9k
points
997
views
go_editor
asked
Mar 20, 2020
Quantitative Aptitude
cat2018-2
quantitative-aptitude
alligation-mixture
+
–
2
votes
1
answer
375
CAT 2018 Set-2 | Question: 97
A triangle $\text{ABC}$ has area $32$ sq units and its side $\text{BC}$, of length $8$ units, lies on the line $x =4$. Then the shortest possible distance between $\text{A}$ and the point $(0,0)$ is $4$ units $8$ units $4\sqrt2$ units $ 2\sqrt2$ units
A triangle $\text{ABC}$ has area $32$ sq units and its side $\text{BC}$, of length $8$ units, lies on the line $x =4$. Then the shortest possible distance between $\text{...
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13.9k
points
623
views
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asked
Mar 20, 2020
Quantitative Aptitude
cat2018-2
quantitative-aptitude
geometry
+
–
3
votes
1
answer
376
CAT 2018 Set-2 | Question: 100
$\frac{1}{\log_{2}100} – \frac{1}{\log_{4}100} + \frac{1}{\log_{5}100} – \frac{1}{\log_{10}100} + \frac{1}{\log_{20}100} – \frac{1}{\log_{25}100} + \frac{1}{\log_{50}100}=?$ $1/2$ $0$ $10$ $-4$
$\frac{1}{\log_{2}100} – \frac{1}{\log_{4}100} + \frac{1}{\log_{5}100} – \frac{1}{\log_{10}100} + \frac{1}{\log_{20}100} – \frac{1}{\log_{25}100} + \frac{1}{\log_{5...
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13.9k
points
874
views
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asked
Mar 20, 2020
Quantitative Aptitude
cat2018-2
quantitative-aptitude
logarithms
+
–
0
votes
0
answers
377
CAT 2018 Set-2 | Question: 62
According to a coding scheme the sentence Peacock is designated as the national bird of India is coded as $5688999\;35\;1135556678\;56\;458\;13666689\;1334\;79\;13366$ This coding scheme has the following rules: The scheme is case-insensitive (does not distinguish between upper case and lower case ... $\text{S, U, V}$ $\text{I, B, M}$ $\text{X, Y, Z}$ $\text{S, E, Z}$
According to a coding scheme the sentence Peacock is designated as the national bird of India is coded as $5688999\;35\;1135556678\;56\;458\;13666689\;1334\;79\;13366$Thi...
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13.9k
points
575
views
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asked
Mar 20, 2020
Logical Reasoning
cat2018-2
quantitative-aptitude
code-language
+
–
2
votes
1
answer
378
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$
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 ...
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13.9k
points
596
views
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asked
Mar 19, 2020
Quantitative Aptitude
cat2018-1
quantitative-aptitude
arithmetic-progression
geometric-progression
+
–
2
votes
1
answer
379
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$
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...
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13.9k
points
644
views
go_editor
asked
Mar 19, 2020
Quantitative Aptitude
cat2018-1
quantitative-aptitude
profit-loss
+
–
2
votes
1
answer
380
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$
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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13.9k
points
603
views
go_editor
asked
Mar 19, 2020
Quantitative Aptitude
cat2018-1
quantitative-aptitude
logarithms
+
–
2
votes
1
answer
381
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 ___________
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...
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13.9k
points
518
views
go_editor
asked
Mar 19, 2020
Quantitative Aptitude
cat2018-1
quantitative-aptitude
speed-distance-time
numerical-answer
+
–
3
votes
1
answer
382
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 $35/4$ $37/4$ $31/4$ $33/4$
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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13.9k
points
763
views
go_editor
asked
Mar 19, 2020
Quantitative Aptitude
cat2018-1
quantitative-aptitude
algebra
+
–
2
votes
1
answer
383
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}$
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 cir...
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13.9k
points
425
views
go_editor
asked
Mar 19, 2020
Quantitative Aptitude
cat2018-1
quantitative-aptitude
geometry
+
–
2
votes
1
answer
384
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?
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 t...
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13.9k
points
772
views
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asked
Mar 19, 2020
Quantitative Aptitude
cat2018-1
quantitative-aptitude
work-time
pipes-cistern
numerical-answer
+
–
2
votes
1
answer
385
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 _________
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...
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13.9k
points
770
views
go_editor
asked
Mar 19, 2020
Quantitative Aptitude
cat2018-1
quantitative-aptitude
number-systems
numerical-answer
+
–
2
votes
1
answer
386
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$
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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13.9k
points
583
views
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asked
Mar 19, 2020
Quantitative Aptitude
cat2018-1
quantitative-aptitude
logarithms
+
–
2
votes
1
answer
387
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 $164\sqrt 3$ $188\sqrt 3$ $248\sqrt 3$ $192\sqrt 3$
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 tr...
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13.9k
points
539
views
go_editor
asked
Mar 19, 2020
Quantitative Aptitude
cat2018-1
quantitative-aptitude
geometry
+
–
2
votes
1
answer
388
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? $27$ $28$ $26$ $25$
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 ...
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13.9k
points
605
views
go_editor
asked
Mar 19, 2020
Quantitative Aptitude
cat2018-1
quantitative-aptitude
average
+
–
3
votes
1
answer
389
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 $93$ $26$ $23$ $96$
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$$96$
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13.9k
points
812
views
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asked
Mar 19, 2020
Quantitative Aptitude
cat2018-1
quantitative-aptitude
venn-diagrams
+
–
2
votes
1
answer
390
CAT 2018 Set-1 | Question: 77
If $u^2+(u-2v-1)^2=-4v(u+v)$, then what is the value of $u+3v$ ? $1/4$ $0$ $1/2$ $-1/4$
If $u^2+(u-2v-1)^2=-4v(u+v)$, then what is the value of $u+3v$ ?$1/4$$0$$1/2$$-1/4$
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13.9k
points
585
views
go_editor
asked
Mar 19, 2020
Quantitative Aptitude
cat2018-1
quantitative-aptitude
algebra
+
–
2
votes
1
answer
391
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 _________
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...
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13.9k
points
650
views
go_editor
asked
Mar 19, 2020
Quantitative Aptitude
cat2018-1
quantitative-aptitude
venn-diagrams
numerical-answer
+
–
2
votes
1
answer
392
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 $\text{Y}$?
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 $\te...
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13.9k
points
610
views
go_editor
asked
Mar 19, 2020
Quantitative Aptitude
cat2018-1
quantitative-aptitude
speed-distance-time
numerical-answer
+
–
2
votes
1
answer
393
CAT 2018 Set-1 | Question: 82
$\log_{12}81=p$, then $3\bigg (\frac{4-p}{4+p}\bigg)$ is equal to $\log_416$ $\log_68$ $\log_616$ $\log_28$
$\log_{12}81=p$, then $3\bigg (\frac{4-p}{4+p}\bigg)$ is equal to $\log_416$$\log_68$$\log_616$$\log_28$
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13.9k
points
570
views
go_editor
asked
Mar 19, 2020
Quantitative Aptitude
cat2018-1
quantitative-aptitude
logarithms
+
–
2
votes
1
answer
394
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 ________
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 $9$ ...
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13.9k
points
607
views
go_editor
asked
Mar 19, 2020
Quantitative Aptitude
cat2018-1
quantitative-aptitude
mensuration
numerical-answer
+
–
2
votes
1
answer
395
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 $2:5$ $4:9$ $3:8$ $1:3$
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...
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Mar 19, 2020
Quantitative Aptitude
cat2018-1
quantitative-aptitude
geometry
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2
votes
1
answer
396
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 $\text{D}$ ... $\bigg(\dfrac{\pi}{6} \bigg)^\frac{1}{2} \\$ $\bigg(\dfrac{\pi}{4\sqrt 3} \bigg)^\frac{1}{2}$
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 $\te...
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678
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Mar 19, 2020
Quantitative Aptitude
cat2018-1
quantitative-aptitude
geometry
+
–
2
votes
1
answer
397
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 $\text{ABCD}?$ $24,10$ $25,9$ $24,12$ $25,10$
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...
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13.9k
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494
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asked
Mar 19, 2020
Quantitative Aptitude
cat2018-1
quantitative-aptitude
geometry
+
–
2
votes
1
answer
398
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? $1/4$ $7/33$ $1/5$ $6/19$
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 th...
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617
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Mar 19, 2020
Quantitative Aptitude
cat2018-1
quantitative-aptitude
ratio-proportion
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–
2
votes
1
answer
399
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 ________
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 ...
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13.9k
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691
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asked
Mar 19, 2020
Quantitative Aptitude
cat2018-1
quantitative-aptitude
average
numerical-answer
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–
2
votes
1
answer
400
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? $98$ $96$ $84$ $86$
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 o...
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points
712
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Mar 19, 2020
Quantitative Aptitude
cat2018-1
quantitative-aptitude
profit-loss
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