Aptitude Overflow
Login
Register
Dark Mode
Brightness
Profile
Edit Profile
Messages
My favorites
My Updates
Logout
Recent questions tagged cat2022-set1
0
votes
1
answer
1
CAT 2022 Set-1 | Quantitative Aptitude | Question: 1
Pinky is standing in a queue at a ticket counter. Suppose the ratio of the number of persons standing ahead of Pinky to the number of persons standing behind her in the queue is $3: 5$. If the total number of persons in the queue is less than $300,$ then the maximum possible number of persons standing ahead of Pinky is
Pinky is standing in a queue at a ticket counter. Suppose the ratio of the number of persons standing ahead of Pinky to the number of persons standing behind her in the q...
admin
4.5k
points
778
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set1
quantitative-aptitude
numerical-answer
+
–
0
votes
0
answers
2
CAT 2022 Set-1 | Quantitative Aptitude | Question: 2
The largest real value of $a$ for which the equation $|x+a|+|x-1|=2$ has an infinite number of solutions for $x$ is $2$ $-1$ $0$ $1$
The largest real value of $a$ for which the equation $|x+a|+|x-1|=2$ has an infinite number of solutions for $x$ is$2$$-1$$0$$1$
admin
4.5k
points
345
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set1
quantitative-aptitude
+
–
0
votes
1
answer
3
CAT 2022 Set-1 | Quantitative Aptitude | Question: 3
The average of three integers is $13$. When a natural number $n$ is included, the average of these four integers remains an odd integer. The minimum possible value of $n$ is $5$ $1$ $3$ $4$
The average of three integers is $13$. When a natural number $n$ is included, the average of these four integers remains an odd integer. The minimum possible value of $n$...
admin
4.5k
points
1.0k
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set1
quantitative-aptitude
+
–
0
votes
0
answers
4
CAT 2022 Set-1 | Quantitative Aptitude | Question: 4
Let $A$ be the largest positive integer that divides all the numbers of the form $3^{k}+4^{k}+5^{k}$, and $B$ be the largest positive integer that divides all the numbers of the form $4^{k}+3\left(4^{k}\right)+4^{k+2}$, where $k$ is any positive integer. Then $(A+B)$ equals
Let $A$ be the largest positive integer that divides all the numbers of the form $3^{k}+4^{k}+5^{k}$, and $B$ be the largest positive integer that divides all the numbers...
admin
4.5k
points
377
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set1
quantitative-aptitude
+
–
0
votes
1
answer
5
CAT 2022 Set-1 | Quantitative Aptitude | Question: 5
In a village, the ratio of number of males to females is $5: 4$. The ratio of number of literate males to literate females is $2: 3$. The ratio of the number of illiterate males to illiterate females is $4: 3$. If 3600 males in the village are literate, then the total number of females in the village is
In a village, the ratio of number of males to females is $5: 4$. The ratio of number of literate males to literate females is $2: 3$. The ratio of the number of illiterat...
admin
4.5k
points
562
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set1
quantitative-aptitude
+
–
0
votes
0
answers
6
CAT 2022 Set-1 | Quantitative Aptitude | Question: 6
Let $\text{A B C D}$ be a parallelogram such that the coordinates of its three vertices $\text{A, B, C}$ are $(1,1),(3,4)$ and $(-2,8)$, respectively. Then, the coordinates of the vertex $\text{D}$ are $(-4,5)$ $(-3,4)$ $(0,11)$ $(4,5)$
Let $\text{A B C D}$ be a parallelogram such that the coordinates of its three vertices $\text{A, B, C}$ are $(1,1),(3,4)$ and $(-2,8)$, respectively. Then, the coordinat...
admin
4.5k
points
326
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set1
quantitative-aptitude
+
–
0
votes
0
answers
7
CAT 2022 Set-1 | Quantitative Aptitude | Question: 7
Alex invested his savings in two parts. The simple interest earned on the first part at $15 \%$ per annum for 4 years is the same as the simple interest earned on the second part at $12 \%$ per annum for $3$ years. Then, the percentage of his savings invested in the first part is $60\%$ $62.5\%$ $37.5\%$ $4.40\%$
Alex invested his savings in two parts. The simple interest earned on the first part at $15 \%$ per annum for 4 years is the same as the simple interest earned on the sec...
admin
4.5k
points
351
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set1
quantitative-aptitude
+
–
0
votes
0
answers
8
CAT 2022 Set-1 | Quantitative Aptitude | Question: 8
The average weight of students in a class increases by $600 \mathrm{gm}$ when some new students join the class. If the average weight of the new students is $3 \mathrm{~kg}$ more than the average weight of the original students, then the ratio of the number of original students to the number of new students is $1: 2$ $4: 1$ $1: 4$ $3: 1$
The average weight of students in a class increases by $600 \mathrm{gm}$ when some new students join the class. If the average weight of the new students is $3 \mathrm{~k...
admin
4.5k
points
357
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set1
quantitative-aptitude
+
–
0
votes
0
answers
9
CAT 2022 Set-1 | Quantitative Aptitude | Question: 9
A mixture contains lemon juice and sugar syrup in equal proportion. If a new mixture is created by adding this mixture and sugar syrup in the ratio $1: 3$, then the ratio of lemon juice and sugar syrup in the new mixture is Ans $1: 7$ $1: 6$ $1: 5$ $1: 4$
A mixture contains lemon juice and sugar syrup in equal proportion. If a new mixture is created by adding this mixture and sugar syrup in the ratio $1: 3$, then the ratio...
admin
4.5k
points
513
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set1
quantitative-aptitude
+
–
0
votes
0
answers
10
CAT 2022 Set-1 | Quantitative Aptitude | Question: 10
Amal buys $110 \mathrm{~kg}$ of syrup and $120 \mathrm{~kg}$ of juice, syrup being $20 \%$ less costly than juice, per kg. He sells $10 \mathrm{~kg}$ of syrup at $10 \%$ profit and $20 \mathrm{~kg}$ of juice at $20 \%$ ... ₹ $308.32$ per kg and makes an overall profit of $64 \%$. Then, Amal's cost price for syrup, in rupees per kg, is
Amal buys $110 \mathrm{~kg}$ of syrup and $120 \mathrm{~kg}$ of juice, syrup being $20 \%$ less costly than juice, per kg. He sells $10 \mathrm{~kg}$ of syrup at $10 \%$ ...
admin
4.5k
points
369
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set1
quantitative-aptitude
+
–
0
votes
0
answers
11
CAT 2022 Set-1 | Quantitative Aptitude | Question: 11
$\mathrm{A}$ trapezium $\mathrm{ABCD}$ has side $\mathrm{AD}$ parallel to $\mathrm{BC}, \angle \mathrm{BAD}=90^{\circ}, \mathrm{BC}=3 \mathrm{~cm}$ and $\mathrm{AD}=8 \mathrm{~cm}$. If the perimeter of this trapezium is $36 \mathrm{~cm}$, then its area, in sq. $\mathrm{cm}$, is
$\mathrm{A}$ trapezium $\mathrm{ABCD}$ has side $\mathrm{AD}$ parallel to $\mathrm{BC}, \angle \mathrm{BAD}=90^{\circ}, \mathrm{BC}=3 \mathrm{~cm}$ and $\mathrm{AD}=8 \ma...
admin
4.5k
points
337
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set1
quantitative-aptitude
+
–
0
votes
0
answers
12
CAT 2022 Set-1 | Quantitative Aptitude | Question: 12
All the vertices of a rectangle lie on a circle of radius $R$. If the perimeter of the rectangle is $P$, then the area of the rectangle is $\frac{P^{2}}{16}-R^{2}$ $\frac{P^{2}}{8}-2 R^{2} $ $\frac{P^{2}}{2}-2 P R $ $\frac{P^{2}}{8}-\frac{R^{2}}{2}$
All the vertices of a rectangle lie on a circle of radius $R$. If the perimeter of the rectangle is $P$, then the area of the rectangle is$\frac{P^{2}}{16}-R^{2}$$\frac{P...
admin
4.5k
points
408
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set1
quantitative-aptitude
+
–
0
votes
0
answers
13
CAT 2022 Set-1 | Quantitative Aptitude | Question: 13
Let $a, b, c$ be non-zero real numbers such that $b^{2}<4 a c$, and $f(x)=a x^{2}+b x+c$. If the set $S$ consists of all integers $m$ such that $f(m)<0$, then the set $S$ must necessarily be either the empty set or the set of all integers the set of all integers the set of all positive integers the empty set
Let $a, b, c$ be non-zero real numbers such that $b^{2}<4 a c$, and $f(x)=a x^{2}+b x+c$. If the set $S$ consists of all integers $m$ such that $f(m)<0$, then the set $S$...
admin
4.5k
points
360
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set1
quantitative-aptitude
+
–
0
votes
1
answer
14
CAT 2022 Set-1 | Quantitative Aptitude | Question: 14
Let $a$ and $b$ be natural numbers. If $a^{2}+a b+a=14$ and $b^{2}+a b+b=28$, then $(2 a+b)$ equals $8$ $9$ $7$ $10$
Let $a$ and $b$ be natural numbers. If $a^{2}+a b+a=14$ and $b^{2}+a b+b=28$, then $(2 a+b)$ equals$8$$9$$7$$10$
admin
4.5k
points
909
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set1
quantitative-aptitude
+
–
0
votes
0
answers
15
CAT 2022 Set-1 | Quantitative Aptitude | Question: 15
In a class of $100$ students, $73$ like coffee, $80$ like tea and $52$ like lemonade. It may be possible that some students do not like any of these three drinks. Then the difference between the maximum and minimum possible number of students who like all the three drinks is $48$ $52$ $53$ $47$
In a class of $100$ students, $73$ like coffee, $80$ like tea and $52$ like lemonade. It may be possible that some students do not like any of these three drinks. Then th...
admin
4.5k
points
640
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set1
quantitative-aptitude
+
–
0
votes
0
answers
16
CAT 2022 Set-1 | Quantitative Aptitude | Question: 16
Trains $\text{A}$ and $\text{B}$ start traveling at the same time towards each other with constant speeds from stations $\text{X}$ and $\text{Y}$, respectively. Train $\text{A}$ reaches station $\text{Y}$ in $10$ minutes while train $\text{B}$ ... train $\text{B}$ to travel from station $\text{Y}$ to station $\text{X}$ is $12$ $6$ $15$ $10$
Trains $\text{A}$ and $\text{B}$ start traveling at the same time towards each other with constant speeds from stations $\text{X}$ and $\text{Y}$, respectively. Train $\t...
admin
4.5k
points
403
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set1
quantitative-aptitude
+
–
0
votes
0
answers
17
CAT 2022 Set-1 | Quantitative Aptitude | Question: 17
Ankita buys $4 \mathrm{~kg}$ cashews, $14 \mathrm{~kg}$ peanuts and $6 \mathrm{~kg}$ almonds when the cost of $7 \mathrm{~kg}$ cashews is the same as that of $30 \mathrm{~kg}$ peanuts or $9 \mathrm{~kg}$ almonds. She mixes ... total profit of ₹ $744$. Then the amount, in rupees, that she had spent in buying almonds is $2520$ $1176$ $1680$ $1440$
Ankita buys $4 \mathrm{~kg}$ cashews, $14 \mathrm{~kg}$ peanuts and $6 \mathrm{~kg}$ almonds when the cost of $7 \mathrm{~kg}$ cashews is the same as that of $30 \mathrm{...
admin
4.5k
points
541
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set1
quantitative-aptitude
+
–
0
votes
0
answers
18
CAT 2022 Set-1 | Quantitative Aptitude | Question: 18
For natural numbers $x, y$, and $z$, if $x y+y z=19$ and $y z+x z=51$, then the minimum possible value of $x y z$ is
For natural numbers $x, y$, and $z$, if $x y+y z=19$ and $y z+x z=51$, then the minimum possible value of $x y z$ is
admin
4.5k
points
294
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set1
quantitative-aptitude
+
–
0
votes
0
answers
19
CAT 2022 Set-1 | Quantitative Aptitude | Question: 19
Let $0 \leq a \leq x \leq 100$ and $f(x)=|x-a|+|x-100|+|x-a-50|$. Then the maximum value of $f(x)$ becomes $100$ when $a$ is equal to $0$ $25$ $100$ $50$
Let $0 \leq a \leq x \leq 100$ and $f(x)=|x-a|+|x-100|+|x-a-50|$. Then the maximum value of $f(x)$ becomes $100$ when $a$ is equal to$0$$25$$100$$50$
admin
4.5k
points
208
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set1
quantitative-aptitude
+
–
0
votes
0
answers
20
CAT 2022 Set-1 | Quantitative Aptitude | Question: 20
For any real number $x$, let $[x]$ be the largest integer less than or equal to $x$. If $\sum_{n=1}^{N}\left[\frac{1}{5}+\frac{n}{25}\right]=25$ then $N$ is
For any real number $x$, let $[x]$ be the largest integer less than or equal to $x$. If $\sum_{n=1}^{N}\left[\frac{1}{5}+\frac{n}{25}\right]=25$ then $N$ is
admin
4.5k
points
282
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set1
quantitative-aptitude
+
–
0
votes
0
answers
21
CAT 2022 Set-1 | Quantitative Aptitude | Question: 21
For any natural number $n$, suppose the sum of the first $n$ terms of an arithmetic progression is $\left(n+2 n^{2}\right)$. If the $n^{\text {th }}$ term of the progression is divisible by $9$ , then the smallest possible value of $n$ is $8$ $7$ $4$ $9$
For any natural number $n$, suppose the sum of the first $n$ terms of an arithmetic progression is $\left(n+2 n^{2}\right)$. If the $n^{\text {th }}$ term of the progress...
admin
4.5k
points
245
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set1
quantitative-aptitude
+
–
0
votes
0
answers
22
CAT 2022 Set-1 | Quantitative Aptitude | Question: 22
The number of ways of distributing $20$ identical balloons among $4$ children such that each child gets some balloons but no child gets an odd number of balloons, is
The number of ways of distributing $20$ identical balloons among $4$ children such that each child gets some balloons but no child gets an odd number of balloons, is
admin
4.5k
points
417
views
admin
asked
Feb 2, 2023
Quantitative Aptitude
cat2022-set1
quantitative-aptitude
+
–
0
votes
0
answers
23
CAT 2022 Set-1 | Data Interpretation and Logical Reasoning | Question: 1
Comprehension:Given above is the schematic map of the metro lines in a city with rectangles denoting terminal stations (e.g. A), diamonds denoting junction stations (e.g....
admin
4.5k
points
387
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set1
+
–
0
votes
0
answers
24
CAT 2022 Set-1 | Data Interpretation and Logical Reasoning | Question: 2
Comprehension:Given above is the schematic map of the metro lines in a city with rectangles denoting terminal stations (e.g. A), diamonds denoting junction stations (e.g....
admin
4.5k
points
282
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set1
+
–
0
votes
0
answers
25
CAT 2022 Set-1 | Data Interpretation and Logical Reasoning | Question: 3
Comprehension:Given above is the schematic map of the metro lines in a city with rectangles denoting terminal stations (e.g. A), diamonds denoting junction stations (e.g....
admin
4.5k
points
450
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set1
+
–
0
votes
0
answers
26
CAT 2022 Set-1 | Data Interpretation and Logical Reasoning | Question: 4
Comprehension:Given above is the schematic map of the metro lines in a city with rectangles denoting terminal stations (e.g. A), diamonds denoting junction stations (e.g....
admin
4.5k
points
264
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set1
+
–
0
votes
0
answers
27
CAT 2022 Set-1 | Data Interpretation and Logical Reasoning | Question: 5
Comprehension:Given above is the schematic map of the metro lines in a city with rectangles denoting terminal stations (e.g. A), diamonds denoting junction stations (e.g....
admin
4.5k
points
275
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set1
+
–
0
votes
0
answers
28
CAT 2022 Set-1 | Data Interpretation and Logical Reasoning | Question: 6
Comprehension:The management of a university hockey team was evaluating performance of four women players - Amla, Bimla, Harita and Sarita for their possible selection in...
admin
4.5k
points
539
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set1
+
–
0
votes
0
answers
29
CAT 2022 Set-1 | Data Interpretation and Logical Reasoning | Question: 7
Comprehension:The management of a university hockey team was evaluating performance of four women players - Amla, Bimla, Harita and Sarita for their possible selection in...
admin
4.5k
points
254
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set1
+
–
0
votes
0
answers
30
CAT 2022 Set-1 | Data Interpretation and Logical Reasoning | Question: 8
Comprehension:The management of a university hockey team was evaluating performance of four women players - Amla, Bimla, Harita and Sarita for their possible selection in...
admin
4.5k
points
258
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set1
+
–
0
votes
0
answers
31
CAT 2022 Set-1 | Data Interpretation and Logical Reasoning | Question: 9
Comprehension:The management of a university hockey team was evaluating performance of four women players - Amla, Bimla, Harita and Sarita for their possible selection in...
admin
4.5k
points
294
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set1
+
–
0
votes
0
answers
32
CAT 2022 Set-1 | Data Interpretation and Logical Reasoning | Question: 10
Comprehension:The management of a university hockey team was evaluating performance of four women players - Amla, Bimla, Harita and Sarita for their possible selection in...
admin
4.5k
points
326
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set1
+
–
0
votes
0
answers
33
CAT 2022 Set-1 | Data Interpretation and Logical Reasoning | Question: 11
Comprehension:Adhara, Bithi, Chhaya, Dhanavi, Esther, and Fathima are the interviewers in a process that awards funding for new initiatives. Every interviewer individuall...
admin
4.5k
points
279
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set1
+
–
0
votes
0
answers
34
CAT 2022 Set-1 | Data Interpretation and Logical Reasoning | Question: 12
Comprehension:Adhara, Bithi, Chhaya, Dhanavi, Esther, and Fathima are the interviewers in a process that awards funding for new initiatives. Every interviewer individuall...
admin
4.5k
points
321
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set1
+
–
0
votes
0
answers
35
CAT 2022 Set-1 | Data Interpretation and Logical Reasoning | Question: 13
Comprehension:Adhara, Bithi, Chhaya, Dhanavi, Esther, and Fathima are the interviewers in a process that awards funding for new initiatives. Every interviewer individuall...
admin
4.5k
points
390
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set1
+
–
0
votes
0
answers
36
CAT 2022 Set-1 | Data Interpretation and Logical Reasoning | Question: 14
Comprehension:Adhara, Bithi, Chhaya, Dhanavi, Esther, and Fathima are the interviewers in a process that awards funding for new initiatives. Every interviewer individuall...
admin
4.5k
points
290
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set1
+
–
0
votes
0
answers
37
CAT 2022 Set-1 | Data Interpretation and Logical Reasoning | Question: 15
Comprehension:Adhara, Bithi, Chhaya, Dhanavi, Esther, and Fathima are the interviewers in a process that awards funding for new initiatives. Every interviewer individuall...
admin
4.5k
points
483
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set1
+
–
0
votes
0
answers
38
CAT 2022 Set-1 | Data Interpretation and Logical Reasoning | Question: 16
Comprehension:There are $15$ girls and some boys among the graduating students in a class. They are planning a get-together, which can be either a $1$-day event, or a $2$...
admin
4.5k
points
347
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set1
+
–
0
votes
0
answers
39
CAT 2022 Set-1 | Data Interpretation and Logical Reasoning | Question: 17
Comprehension:There are $15$ girls and some boys among the graduating students in a class. They are planning a get-together, which can be either a $1$-day event, or a $2$...
admin
4.5k
points
337
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set1
+
–
0
votes
0
answers
40
CAT 2022 Set-1 | Data Interpretation and Logical Reasoning | Question: 18
Comprehension:There are $15$ girls and some boys among the graduating students in a class. They are planning a get-together, which can be either a $1$-day event, or a $2$...
admin
4.5k
points
291
views
admin
asked
Feb 2, 2023
Logical Reasoning
cat2022-set1
+
–
Page:
1
2
next »
Aptitude Overflow
Email or Username
Show
Hide
Password
I forgot my password
Remember
Log in
Register