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Recent questions tagged cat2023-set2

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CAT 2023 Set-2 | Quantitative Aptitude | Question: 1
For any natural numbers $\mathrm{m}, \mathrm{n}$, and $\mathrm{k}$, such that $\mathrm{k}$ divides both $m+2 n$ and $3 m+4 n \mathrm{k}$ must be a common divisor of $m$ and $n$ $2 m$ and $3 n$ $2 m$ and $n$ $m$ and $2 n$
For any natural numbers $\mathrm{m}, \mathrm{n}$, and $\mathrm{k}$, such that $\mathrm{k}$ divides both $m+2 n$ and $3 m+4 n \mathrm{k}$ must be a common divisor of$m$ an...
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CAT 2023 Set-2 | Quantitative Aptitude | Question: 2
Any non-zero real numbers $\mathrm{x}$, $\mathrm{y}$ such that $y \neq 3$ and $\frac{x}{y}<\frac{x+3}{y-3}$, will satisfy the condition $\frac{x}{y}<\frac{y}{x}$ If $y>10$, then $-x>y$ If $x<0$, then $-x If $y<0$, then $-x
Any non-zero real numbers $\mathrm{x}$, $\mathrm{y}$ such that $y \neq 3$ and $\frac{x}{y}<\frac{x+3}{y-3}$, will satisfy the condition$\frac{x}{y}<\frac{y}{x}$If $y>10$,...
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CAT 2023 Set-2 | Quantitative Aptitude | Question: 3
The sum of all possible values of $x$ satisfying the equation $2^{4 x^{2}}-2^{2 x^{2}+x+16}+2^{2 x+30}=0$, is $\frac{5}{2}$ $\frac{1}{2}$ $3$ $\frac{3}{2}$
The sum of all possible values of $x$ satisfying the equation $2^{4 x^{2}}-2^{2 x^{2}+x+16}+2^{2 x+30}=0$, is$\frac{5}{2}$$\frac{1}{2}$$3$$\frac{3}{2}$
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CAT 2023 Set-2 | Quantitative Aptitude | Question: 4
Let $\mathrm{a}, \mathrm{b}, \mathrm{m}$ and $\mathrm{n}$ be natural numbers such that $a>1$ and $b>1$. If $a^{m} b^{n}=144^{145}$, then the largest possible value of $n-m$ is $579$ $289$ $580$ $290$
Let $\mathrm{a}, \mathrm{b}, \mathrm{m}$ and $\mathrm{n}$ be natural numbers such that $a>1$ and $b>1$. If $a^{m} b^{n}=144^{145}$, then the largest possible value of $n-...
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CAT 2023 Set-2 | Quantitative Aptitude | Question: 5
The number of positive integers less than $50$, having exactly two distinct factors other than $1$ and itself, is
The number of positive integers less than $50$, having exactly two distinct factors other than $1$ and itself, is
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CAT 2023 Set-2 | Quantitative Aptitude | Question: 6
Let $k$ be the largest integer such that the equation $(x-1)^{2}+2 k x+11=0$ has no real roots. If $y$ is a positive real number, then the least possible value of $\frac{k}{4 y}+9 y$ is
Let $k$ be the largest integer such that the equation $(x-1)^{2}+2 k x+11=0$ has no real roots. If $y$ is a positive real number, then the least possible value of $\frac{...
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CAT 2023 Set-2 | Quantitative Aptitude | Question: 7
For some positive real number $x$, if $\log _{\sqrt{3}}(x)+\frac{\log _{x}(25)}{\log _{x}(0.008)}=\frac{16}{3}$, then the value of $\log _{3}\left(3 x^{2}\right)$ is
For some positive real number $x$, if $\log _{\sqrt{3}}(x)+\frac{\log _{x}(25)}{\log _{x}(0.008)}=\frac{16}{3}$, then the value of $\log _{3}\left(3 x^{2}\right)$ is
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CAT 2023 Set-2 | Quantitative Aptitude | Question: 9
Ravi is driving at a speed of $40 \mathrm{~km} / \mathrm{h}$ on a road. Vijay is $54$ ... should drive so that all the three cross each other at the same time, is $67.2$ $64.4$ $61.6$ $58.8$
Ravi is driving at a speed of $40 \mathrm{~km} / \mathrm{h}$ on a road. Vijay is $54$ meters behind Ravi and driving in the same direction as Ravi. Ashok is driving along...
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CAT 2023 Set-2 | Quantitative Aptitude | Question: 15
Jayant bought a certain number of white shirts at the rate of Rs $1000$ per piece and a certain number of blue shirts at the rate of Rs $1125$ ... $51000$. If he bought both colors of shirts, then the maximum possible total number of shirts that he could have bought is
Jayant bought a certain number of white shirts at the rate of Rs $1000$ per piece and a certain number of blue shirts at the rate of Rs $1125$ per piece. For each shirt, ...
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CAT 2023 Set-2 | Quantitative Aptitude | Question: 19
The area of the quadrilateral bounded by the $Y$-axis, the line $x=5$, and the lines $|x-y|-|x-5|=2$, is
The area of the quadrilateral bounded by the $Y$-axis, the line $x=5$, and the lines $|x-y|-|x-5|=2$, is
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CAT 2023 Set-2 | Quantitative Aptitude | Question: 20
Let both the series $a_{1}, a_{2}, a_{3}, \ldots$ and $b_{1}, b_{2}, b_{3} \ldots$ be in arithmetic progression such that the common differences of both the series are prime numbers. If $a_{5}=b_{9}, a_{19}=b_{19}$ and $b_{2}=0$, then $a_{11}$ equals $79$ $83$ $84$ $86$
Let both the series $a_{1}, a_{2}, a_{3}, \ldots$ and $b_{1}, b_{2}, b_{3} \ldots$ be in arithmetic progression such that the common differences of both the series are pr...
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CAT 2023 Set-2 | Quantitative Aptitude | Question: 21
If $p^2+q^2-29=2 p q-20=52-2 p q$, then the difference between the maximum and minimum possible value of $\left(p^3-q^3\right)$ is $486$ $378$ $243$ $189$
If $p^2+q^2-29=2 p q-20=52-2 p q$, then the difference between the maximum and minimum possible value of $\left(p^3-q^3\right)$ is$486$$378$$243$$189$
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CAT 2023 Set-2 | Quantitative Aptitude | Question: 22
Let $a_n$ and $b_n$ be two sequences such that $a_n=13+6(n-1)$ and $b_n=15+7(n-1)$ for all natural numbers $n$. Then, the largest three digit integer that is common to both these sequences, is
Let $a_n$ and $b_n$ be two sequences such that $a_n=13+6(n-1)$ and $b_n=15+7(n-1)$ for all natural numbers $n$. Then, the largest three digit integer that is common to bo...
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CAT 2023 Set-2 | Data Interpretation and Logical Reasoning | Question: 1
Odsville has five firms - Alfloo, Bzygoo, Czechy, Drjbna and Elavalaki. Each of these firms was founded in some year and also closed down a few years later.Each firm rais...
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CAT 2023 Set-2 | Data Interpretation and Logical Reasoning | Question: 2
Odsville has five firms - Alfloo, Bzygoo, Czechy, Drjbna and Elavalaki. Each of these firms was founded in some year and also closed down a few years later.Each firm rais...
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CAT 2023 Set-2 | Data Interpretation and Logical Reasoning | Question: 3
Odsville has five firms - Alfloo, Bzygoo, Czechy, Drjbna and Elavalaki. Each of these firms was founded in some year and also closed down a few years later.Each firm rais...
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CAT 2023 Set-2 | Data Interpretation and Logical Reasoning | Question: 4
Odsville has five firms - Alfloo, Bzygoo, Czechy, Drjbna and Elavalaki. Each of these firms was founded in some year and also closed down a few years later.Each firm rais...
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CAT 2023 Set-2 | Data Interpretation and Logical Reasoning | Question: 5
Odsville has five firms - Alfloo, Bzygoo, Czechy, Drjbna and Elavalaki. Each of these firms was founded in some year and also closed down a few years later.Each firm rais...
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CAT 2023 Set-2 | Data Interpretation and Logical Reasoning | Question: 6
Three participants - Akhil, Bimal and Chatur participate in a random draw competition for five days. Every day, each participant randomly picks up a ball numbered between...
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CAT 2023 Set-2 | Data Interpretation and Logical Reasoning | Question: 7
Three participants - Akhil, Bimal and Chatur participate in a random draw competition for five days. Every day, each participant randomly picks up a ball numbered between...
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CAT 2023 Set-2 | Data Interpretation and Logical Reasoning | Question: 8
Three participants - Akhil, Bimal and Chatur participate in a random draw competition for five days. Every day, each participant randomly picks up a ball numbered between...
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CAT 2023 Set-2 | Data Interpretation and Logical Reasoning | Question: 9
Three participants - Akhil, Bimal and Chatur participate in a random draw competition for five days. Every day, each participant randomly picks up a ball numbered between...
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CAT 2023 Set-2 | Data Interpretation and Logical Reasoning | Question: 10
Three participants - Akhil, Bimal and Chatur participate in a random draw competition for five days. Every day, each participant randomly picks up a ball numbered between...
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CAT 2023 Set-2 | Data Interpretation and Logical Reasoning | Question: 11
There are nine boxes arranged in a $3 \times 3$ array as shown in Tables $1$ and $2$. Each box contains three sacks. Each sack has a certain number of coins, between $1$ ...
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CAT 2023 Set-2 | Data Interpretation and Logical Reasoning | Question: 12
There are nine boxes arranged in a $3 \times 3$ array as shown in Tables $1$ and $2$. Each box contains three sacks. Each sack has a certain number of coins, between $1$ ...
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CAT 2023 Set-2 | Data Interpretation and Logical Reasoning | Question: 13
There are nine boxes arranged in a $3 \times 3$ array as shown in Tables $1$ and $2$. Each box contains three sacks. Each sack has a certain number of coins, between $1$ ...
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CAT 2023 Set-2 | Data Interpretation and Logical Reasoning | Question: 14
There are nine boxes arranged in a $3 \times 3$ array as shown in Tables $1$ and $2$. Each box contains three sacks. Each sack has a certain number of coins, between $1$ ...
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CAT 2023 Set-2 | Data Interpretation and Logical Reasoning | Question: 15
There are nine boxes arranged in a $3 \times 3$ array as shown in Tables $1$ and $2$. Each box contains three sacks. Each sack has a certain number of coins, between $1$ ...
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CAT 2023 Set-2 | Data Interpretation and Logical Reasoning | Question: 16
Anjali, Bipasha, and Chitra visited an entertainment park that has four rides. Each ride lasts one hour and can accommodate one visitor at one point. All rides begin at $...
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CAT 2023 Set-2 | Data Interpretation and Logical Reasoning | Question: 17
Anjali, Bipasha, and Chitra visited an entertainment park that has four rides. Each ride lasts one hour and can accommodate one visitor at one point. All rides begin at $...
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CAT 2023 Set-2 | Data Interpretation and Logical Reasoning | Question: 18
Anjali, Bipasha, and Chitra visited an entertainment park that has four rides. Each ride lasts one hour and can accommodate one visitor at one point. All rides begin at $...
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