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Recent questions tagged cat2022-set3
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CAT 2022 Set-3 | Quantitative Aptitude | Question: 1
A donation box can receive only cheques of ₹$100$, ₹$250$, and ₹$500$. On one good day, the donation box was found to contain exactly $100$ cheques amounting to a total sum of ₹$15250$. Then, the maximum possible number of cheques of ₹$500$ that the donation box may have contained, is
A donation box can receive only cheques of ₹$100$, ₹$250$, and ₹$500$. On one good day, the donation box was found to contain exactly $100$ cheques amounting to a t...
admin
3.7k
points
1.7k
views
admin
asked
Mar 3, 2023
Quantitative Aptitude
cat2022-set3
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CAT 2022 Set-3 | Quantitative Aptitude | Question: 2
If $c=\dfrac{16 x}{y}+\dfrac{49 y}{x}$ for some non-zero real numbers $x$ and $y,$ then $c$ cannot take the value $-60$ $-50$ $60$ $-70$
If $c=\dfrac{16 x}{y}+\dfrac{49 y}{x}$ for some non-zero real numbers $x$ and $y,$ then $c$ cannot take the value$-60$ $-50$ $60$ $-70$
admin
3.7k
points
1.5k
views
admin
asked
Mar 3, 2023
Quantitative Aptitude
cat2022-set3
quantitative-aptitude
algebra
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CAT 2022 Set-3 | Quantitative Aptitude | Question: 3
If $(3+2 \sqrt{2})$ is a root of the equation $a x^{2}+b x+c-0$, and $(4+2 \sqrt{3})$ is a root of the equation $a y^{2}+m y+n – 0$, where $a, b, c, m$ and $n$ are integers, then the value of $\left(\frac{b}{m}+\frac{c-2 b}{n}\right)$ is $0$ $3$ $4$ $1$
If $(3+2 \sqrt{2})$ is a root of the equation $a x^{2}+b x+c-0$, and $(4+2 \sqrt{3})$ is a root of the equation $a y^{2}+m y+n – 0$, where $a, b, c, m$ and $n$ are inte...
admin
3.7k
points
372
views
admin
asked
Mar 3, 2023
Quantitative Aptitude
cat2022-set3
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CAT 2022 Set-3 | Quantitative Aptitude | Question: 4
Suppose the medians $\mathrm{BD}$ and $\mathrm{CE}$ of a triangle $\mathrm{ABC}$ intersect at a point $\mathrm{O}$. If area of triangle $\mathrm{ABC}$ is $108$ $\mathrm{sq. cm}$., then, the area of the triangle $\mathrm{EOD}$, in $\mathrm{sq. cm}$., is
Suppose the medians $\mathrm{BD}$ and $\mathrm{CE}$ of a triangle $\mathrm{ABC}$ intersect at a point $\mathrm{O}$. If area of triangle $\mathrm{ABC}$ is $108$ $\mathrm{s...
admin
3.7k
points
297
views
admin
asked
Mar 3, 2023
Quantitative Aptitude
cat2022-set3
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CAT 2022 Set-3 | Quantitative Aptitude | Question: 5
Bob can finish a job in $40$ days, if he works alone. Alex is twice as fast as Bob and thrice as fast as Cole in the same job. Suppose Alex and Bob work together on the first day, Bob and Cole work together on the second day ... on the fourth day, and so on. Then, the total number of days Alex would have worked when the job gets finished, is
Bob can finish a job in $40$ days, if he works alone. Alex is twice as fast as Bob and thrice as fast as Cole in the same job. Suppose Alex and Bob work together on the f...
admin
3.7k
points
387
views
admin
asked
Mar 3, 2023
Quantitative Aptitude
cat2022-set3
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CAT 2022 Set-3 | Quantitative Aptitude | Question: 6
A glass contains $500 \mathrm{cc}$ of milk and a cup contains $500 \mathrm{cc}$ of water. From the glass, $150 \mathrm{cc}$ of milk is transferred to the cup and mixed thoroughly. Next, $150 \mathrm{cc}$ of this mixture is transferred from the cup to ... the glass and the amount of milk in the cup are in the ratio $1: 1$ $10: 3$ $10: 13$ $3: 10$
A glass contains $500 \mathrm{cc}$ of milk and a cup contains $500 \mathrm{cc}$ of water. From the glass, $150 \mathrm{cc}$ of milk is transferred to the cup and mixed th...
admin
3.7k
points
404
views
admin
asked
Mar 3, 2023
Quantitative Aptitude
cat2022-set3
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CAT 2022 Set-3 | Quantitative Aptitude | Question: 7
Consider six distinct natural numbers such that the average of the two smallest numbers is $14$, and the average of the two largest numbers is $28$. Then, the maximum possible value of the average of these six numbers is $22 .5$ $23$ $23 .5$ $24$
Consider six distinct natural numbers such that the average of the two smallest numbers is $14$, and the average of the two largest numbers is $28$. Then, the maximum pos...
admin
3.7k
points
1.6k
views
admin
asked
Mar 3, 2023
Quantitative Aptitude
cat2022-set3
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1
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CAT 2022 Set-3 | Quantitative Aptitude | Question: 8
Let $r$ be a real number and $f(x)=\left\{\begin{array}{cl}2 x-r & \text { if } x \geq r \\ r & \text { if } x<r\end{array}\right.$. Then, the equation $f(x)=f(f(x))$ holds for all real values of $x$ where $x \leq r$ $x>r$ $x \geq r$ $x \neq r$
Let $r$ be a real number and $f(x)=\left\{\begin{array}{cl}2 x-r & \text { if } x \geq r \\ r & \text { if } x<r\end{array}\right.$. Then, the equation $f(x)=f(f(x))$ hol...
admin
3.7k
points
431
views
admin
asked
Mar 3, 2023
Quantitative Aptitude
cat2022-set3
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CAT 2022 Set-3 | Quantitative Aptitude | Question: 9
Two ships are approaching a port along straight routes at constant speeds. Initially, the two ships and the port formed an equilateral triangle with sides of length $24 \mathrm{km}$. When the slower ship travelled $8 \mathrm{km}$, the triangle formed by ... distance, in $\mathrm{km}$, between the other ship and the port will be $4$ $6$ $12$ $8$
Two ships are approaching a port along straight routes at constant speeds. Initially, the two ships and the port formed an equilateral triangle with sides of length $24 \...
admin
3.7k
points
431
views
admin
asked
Mar 3, 2023
Quantitative Aptitude
cat2022-set3
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CAT 2022 Set-3 | Quantitative Aptitude | Question: 10
Nitu has an initial capital of ₹ $20,000$. Out of this, she invests ₹$8,000$ at $5.5 \%$ in bank $\mathrm{A}$, ₹$5,000$ at $5.6 \%$ in bank $\mathrm{B}$ and the remaining amount at $x \%$ ... entire initial capital in bank $\mathrm{C}$ alone, then her annual interest income, in rupees, would have been $900$ $800$ $1000$ $700$
Nitu has an initial capital of ₹ $20,000$. Out of this, she invests ₹$8,000$ at $5.5 \%$ in bank $\mathrm{A}$, ₹$5,000$ at $5.6 \%$ in bank $\mathrm{B}$ and the rem...
admin
3.7k
points
540
views
admin
asked
Mar 3, 2023
Quantitative Aptitude
cat2022-set3
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CAT 2022 Set-3 | Quantitative Aptitude | Question: 11
The minimum possible value of $\frac{x^{2}-6 x+10}{3-x}$, for $x<3$, is $-2$ $2$ $\frac{1}{2}$ $-\frac{1}{2}$
The minimum possible value of $\frac{x^{2}-6 x+10}{3-x}$, for $x<3$, is$-2$$2$$\frac{1}{2}$$-\frac{1}{2}$
admin
3.7k
points
332
views
admin
asked
Mar 3, 2023
Quantitative Aptitude
cat2022-set3
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CAT 2022 Set-3 | Quantitative Aptitude | Question: 12
In an examination, the average marks of students in sections $\mathrm{A}$ and $\mathrm{B}$ are $32$ and $60$, respectively. The number of students in section $\mathrm{A}$ is $10$ ... combined is an integer, then the difference between the maximum and minimum possible number of students in section $\mathrm{A}$ is
In an examination, the average marks of students in sections $\mathrm{A}$ and $\mathrm{B}$ are $32$ and $60$, respectively. The number of students in section $\mathrm{A}$...
admin
3.7k
points
359
views
admin
asked
Mar 3, 2023
Quantitative Aptitude
cat2022-set3
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CAT 2022 Set-3 | Quantitative Aptitude | Question: 13
If $\left(\sqrt{\frac{7}{3}}\right)^{2 x-y}=\frac{875}{2401}$ and $\left(\frac{4 a}{b}\right)^{4 x-y}=\left(\frac{2 a}{b}\right)^{y-6 x}$, for all non-zero real values of $a$ and $b$, then the value of $x+y$ is
If $\left(\sqrt{\frac{7}{3}}\right)^{2 x-y}=\frac{875}{2401}$ and $\left(\frac{4 a}{b}\right)^{4 x-y}=\left(\frac{2 a}{b}\right)^{y-6 x}$, for all non-zero real values of...
admin
3.7k
points
861
views
admin
asked
Mar 3, 2023
Quantitative Aptitude
cat2022-set3
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CAT 2022 Set-3 | Quantitative Aptitude | Question: 14
A group of $\mathrm{N}$ people worked on a project. They finished $35 \%$ of the project by working $7$ hours a day for $10$ days. Thereafter, $10$ people left the group and the remaining people finished the rest of the project in $14$ days by working $10$ hours a day. Then the value of $\mathrm{N}$ is $150$ $36$ $140$ $23$
A group of $\mathrm{N}$ people worked on a project. They finished $35 \%$ of the project by working $7$ hours a day for $10$ days. Thereafter, $10$ people left the group ...
admin
3.7k
points
882
views
admin
asked
Mar 3, 2023
Quantitative Aptitude
cat2022-set3
quantitative-aptitude
work-time
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CAT 2022 Set-3 | Quantitative Aptitude | Question: 15
Moody takes $30$ seconds to finish riding an escalator if he walks on it at his normal speed in the same direction. He takes $20$ seconds to finish riding the escalator if he walks at twice his normal speed in the same direction. If Moody decides to stand still on the escalator, then the time, in seconds, needed to finish riding the escalator is
Moody takes $30$ seconds to finish riding an escalator if he walks on it at his normal speed in the same direction. He takes $20$ seconds to finish riding the escalator i...
admin
3.7k
points
324
views
admin
asked
Mar 3, 2023
Quantitative Aptitude
cat2022-set3
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CAT 2022 Set-3 | Quantitative Aptitude | Question: 16
In a triangle $\mathrm{A B C, A B=A C}=8 \mathrm{cm}$. A circle drawn with $\mathrm{BC}$ as diameter passes through $\mathrm{A}$. Another circle drawn with center at $\mathrm{A}$ passes through $\mathrm{B}$ and $\mathrm{C}$. Then the area ... $16(\pi-1)$ $32 \pi$ $32(\pi-1)$ $16 \pi$
In a triangle $\mathrm{A B C, A B=A C}=8 \mathrm{cm}$. A circle drawn with $\mathrm{BC}$ as diameter passes through $\mathrm{A}$. Another circle drawn with center at $\ma...
admin
3.7k
points
280
views
admin
asked
Mar 3, 2023
Quantitative Aptitude
cat2022-set3
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CAT 2022 Set-3 | Quantitative Aptitude | Question: 17
Suppose $\mathrm{k}$ is any integer such that the equation $2 x^{2}+k x+5=0$ has no real roots and the equation $x^{2}+(k-5) x+1=0$ has two distinct real roots for $\mathrm{x}$. Then, the number of possible values of $\mathrm{k}$ is $7$ $9$ $8$ $13$
Suppose $\mathrm{k}$ is any integer such that the equation $2 x^{2}+k x+5=0$ has no real roots and the equation $x^{2}+(k-5) x+1=0$ has two distinct real roots for $\math...
admin
3.7k
points
257
views
admin
asked
Mar 3, 2023
Quantitative Aptitude
cat2022-set3
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CAT 2022 Set-3 | Quantitative Aptitude | Question: 18
The arithmetic mean of all the distinct numbers that can be obtained by rearranging the digits in $1421$, including itself, is $2442$ $3333$ $2592$ $2222$
The arithmetic mean of all the distinct numbers that can be obtained by rearranging the digits in $1421$, including itself, is$2442$$3333$$2592$$2222$
admin
3.7k
points
343
views
admin
asked
Mar 3, 2023
Quantitative Aptitude
cat2022-set3
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CAT 2022 Set-3 | Quantitative Aptitude | Question: 19
The lengths of all four sides of a quadrilateral are integer valued. If three of its sides are of length $1 \mathrm{cm}, 2 \mathrm{cm}$ and $4 \mathrm{cm}$, then the total number of possible lengths of the fourth side is $5$ $4$ $3$ $6$
The lengths of all four sides of a quadrilateral are integer valued. If three of its sides are of length $1 \mathrm{cm}, 2 \mathrm{cm}$ and $4 \mathrm{cm}$, then the tota...
admin
3.7k
points
289
views
admin
asked
Mar 3, 2023
Quantitative Aptitude
cat2022-set3
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CAT 2022 Set-3 | Quantitative Aptitude | Question: 20
Two cars travel from different locations at constant speeds. To meet each other after starting at the same time, they take $1.5$ hours if they travel towards each other, but $10.5$ hours if they travel in the same direction. If the speed ... the slower car when it meets the other car while traveling towards each other, is $100$ $90$ $150$ $120$
Two cars travel from different locations at constant speeds. To meet each other after starting at the same time, they take $1.5$ hours if they travel towards each other, ...
admin
3.7k
points
293
views
admin
asked
Mar 3, 2023
Quantitative Aptitude
cat2022-set3
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CAT 2022 Set-3 | Quantitative Aptitude | Question: 21
A school has less than $5000$ students and if the students are divided equally into teams of either $9$ or $10$ or $12$ or $25$ each, exactly $4$ are always left out. However, if they are divided into teams of $11$ each, no one is left out. The maximum number of teams of $12$ each that can be formed out of the students in the school is
A school has less than $5000$ students and if the students are divided equally into teams of either $9$ or $10$ or $12$ or $25$ each, exactly $4$ are always left out. How...
admin
3.7k
points
247
views
admin
asked
Mar 3, 2023
Quantitative Aptitude
cat2022-set3
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CAT 2022 Set-3 | Quantitative Aptitude | Question: 22
The average of all $3$-digit terms in the arithmetic progression $38,55,72, \ldots$, is
The average of all $3$-digit terms in the arithmetic progression $38,55,72, \ldots$, is
admin
3.7k
points
300
views
admin
asked
Mar 3, 2023
Quantitative Aptitude
cat2022-set3
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CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 1
Comprehension:In the following, a year corresponds to $1^{\text {st }}$ of January of that year.A study to determine the mortality rate for a disease began in $1980$. The...
admin
3.7k
points
394
views
admin
asked
Feb 27, 2023
Logical Reasoning
cat2022-set3
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CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 2
Comprehension:In the following, a year corresponds to $1^{\text {st }}$ of January of that year.A study to determine the mortality rate for a disease began in $1980$. The...
admin
3.7k
points
232
views
admin
asked
Feb 27, 2023
Logical Reasoning
cat2022-set3
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CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 3
Comprehension:In the following, a year corresponds to $1^{\text {st }}$ of January of that year.A study to determine the mortality rate for a disease began in $1980$. The...
admin
3.7k
points
255
views
admin
asked
Feb 27, 2023
Logical Reasoning
cat2022-set3
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CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 4
Comprehension:In the following, a year corresponds to $1^{\text {st }}$ of January of that year.A study to determine the mortality rate for a disease began in $1980$. The...
admin
3.7k
points
283
views
admin
asked
Feb 27, 2023
Logical Reasoning
cat2022-set3
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CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 5
Comprehension:In the following, a year corresponds to $1^{\text {st }}$ of January of that year.A study to determine the mortality rate for a disease began in $1980$. The...
admin
3.7k
points
273
views
admin
asked
Feb 27, 2023
Logical Reasoning
cat2022-set3
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CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 6
Comprehension:Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in e...
admin
3.7k
points
309
views
admin
asked
Feb 27, 2023
Logical Reasoning
cat2022-set3
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CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 7
Comprehension:Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in e...
admin
3.7k
points
308
views
admin
asked
Feb 27, 2023
Logical Reasoning
cat2022-set3
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CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 8
Comprehension:Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in e...
admin
3.7k
points
219
views
admin
asked
Feb 27, 2023
Logical Reasoning
cat2022-set3
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CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 9
Comprehension:Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in e...
admin
3.7k
points
242
views
admin
asked
Feb 27, 2023
Logical Reasoning
cat2022-set3
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CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 10
Comprehension:Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in e...
admin
3.7k
points
202
views
admin
asked
Feb 27, 2023
Logical Reasoning
cat2022-set3
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CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 11
Comprehension:All the first-year students in the computer science (CS) department in a university take both the courses (i) $\mathrm{Al}$ and (ii) $\mathrm{ML}$. Students...
admin
3.7k
points
278
views
admin
asked
Feb 27, 2023
Logical Reasoning
cat2022-set3
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1
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0
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34
CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 12
Comprehension:All the first-year students in the computer science (CS) department in a university take both the courses (i) $\mathrm{Al}$ and (ii) $\mathrm{ML}$. Students...
admin
3.7k
points
289
views
admin
asked
Feb 27, 2023
Logical Reasoning
cat2022-set3
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35
CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 13
Comprehension:All the first-year students in the computer science (CS) department in a university take both the courses (i) $\mathrm{Al}$ and (ii) $\mathrm{ML}$. Students...
admin
3.7k
points
287
views
admin
asked
Feb 27, 2023
Logical Reasoning
cat2022-set3
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1
votes
0
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36
CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 14
Comprehension:All the first-year students in the computer science (CS) department in a university take both the courses (i) $\mathrm{Al}$ and (ii) $\mathrm{ML}$. Students...
admin
3.7k
points
344
views
admin
asked
Feb 27, 2023
Logical Reasoning
cat2022-set3
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1
votes
0
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37
CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 15
Comprehension:All the first-year students in the computer science (CS) department in a university take both the courses (i) $\mathrm{Al}$ and (ii) $\mathrm{ML}$. Students...
admin
3.7k
points
231
views
admin
asked
Feb 27, 2023
Logical Reasoning
cat2022-set3
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1
votes
0
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38
CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 16
Comprehension:There are only four neighbourhoods in a city - Levmisto, Tyhrmisto, Pesmisto and Kitmisto. During the onset of a pandemic, the number of new cases of a dise...
admin
3.7k
points
390
views
admin
asked
Feb 27, 2023
Logical Reasoning
cat2022-set3
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1
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0
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39
CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 17
Comprehension:There are only four neighbourhoods in a city - Levmisto, Tyhrmisto, Pesmisto and Kitmisto. During the onset of a pandemic, the number of new cases of a dise...
admin
3.7k
points
291
views
admin
asked
Feb 27, 2023
Logical Reasoning
cat2022-set3
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1
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0
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40
CAT 2022 Set-3 | Data Interpretation and Logical Reasoning | Question: 18
Comprehension:There are only four neighbourhoods in a city - Levmisto, Tyhrmisto, Pesmisto and Kitmisto. During the onset of a pandemic, the number of new cases of a dise...
admin
3.7k
points
215
views
admin
asked
Feb 27, 2023
Logical Reasoning
cat2022-set3
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