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Recent questions tagged cat2024-set3

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CAT 2024 Set-3 | Quantitative Aptitude | Question: 1
The average of three distinct real numbers is $28$. If the smallest number is increased by $7$ and the largest number is reduced by $10$, the order of the numbers remains...
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573
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CAT 2024 Set-3 | Quantitative Aptitude | Question: 2
The number of distinct integer solutions $(x, y)$ of the equation $\mid x+y \mid + \mid x-y \mid =2$, is
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570
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CAT 2024 Set-3 | Quantitative Aptitude | Question: 3
Consider the sequence $t_{1}=1, t_{2}=-1$ and $t_{n}=\left(\frac{n-3}{n-1}\right) t_{n-2}$ for $n \geq 3$. Then, the value of the sum $\frac{1}{t_{2}}+\frac{1}{t_{4}}+\fr...
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CAT 2024 Set-3 | Quantitative Aptitude | Question: 4
The number of all positive integers up to $500$ with non-repeating digits is
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CAT 2024 Set-3 | Quantitative Aptitude | Question: 5
The number of distinct real values of $x$, satisfying the equation $\max \{x, 2\}-\min \{x, 2\}=\mid x+2 \mid-\mid x-2 \mid$, is
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CAT 2024 Set-3 | Quantitative Aptitude | Question: 6
If $10^{68}$ is divided by $13$, the remainder is$5$$8$$4$$9$
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CAT 2024 Set-3 | Quantitative Aptitude | Question: 7
For some constant real numbers $p, k$ and $a$, consider the following system of linear equations in $x$ and $y$:$px-4y=2$$3x+ky=a$A necessary condition for the system to ...
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646
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CAT 2024 Set-3 | Quantitative Aptitude | Question: 8
The sum of all distinct real values of $x$ that satisfy the equation $10^{x}+\frac{4}{10^{x}}=\frac{81}{2}$, is$4 \log _{10} 2$$2 \log _{10} 2$$3 \log _{10} 2$$\log _{10}...
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CAT 2024 Set-3 | Quantitative Aptitude | Question: 9
A train travelled a certain distance at a uniform speed. Had the speed been $6$ km per hour more, it would have needed $4$ hours less. Had the speed been $6$ km per hour ...
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649
649 views
CAT 2024 Set-3 | Quantitative Aptitude | Question: 10
In a group of $250$ students, the percentage of girls was at least $44 \%$ and at most $60 \%$. The rest of the students were boys. Each student opted for either swimming...
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CAT 2024 Set-3 | Quantitative Aptitude | Question: 11
For any non-zero real number $x$, let $f(x)+2 f\left(\frac{1}{x}\right)=3 x$. Then, the sum of all possible values of $x$ for which $f(x)=3$, is$-3$$3$$-2$$2$
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CAT 2024 Set-3 | Quantitative Aptitude | Question: 12
Sam can complete a job in $20$ days when working alone. Mohit is twice as fast as Sam and thrice as fast as Ayna in the same job. They undertake a job with an arrangement...
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CAT 2024 Set-3 | Quantitative Aptitude | Question: 13
A certain amount of water was poured into a $300$ litre container and the remaining portion of the container was filled with milk. Then an amount of this solution was tak...
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CAT 2024 Set-3 | Quantitative Aptitude | Question: 14
A regular octagon $\mathrm{ABCDEFGH}$ has sides of length $6$ $\mathrm{cm}$ each. Then the area, in $\mathrm{sq. cm}$, of the square $\mathrm{ACEG}$ is$36(1+\sqrt{2})$$72...
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CAT 2024 Set-3 | Quantitative Aptitude | Question: 15
The midpoints of sides $\mathrm{AB}$, $\mathrm{BC}$, and $\mathrm{AC}$ in $\triangle \: \mathrm{ABC}$ are $\mathrm{M}, \mathrm{N}$, and $\mathrm{P}$, respectively. The me...
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CAT 2024 Set-3 | Quantitative Aptitude | Question: 16
If $3^{a}=4,4^{b}=5,5^{c}=6,6^{d}=7,7^{e}=8$ and $8^{f}=9$, then the value of the product $\mathrm{abcdef}$ is
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CAT 2024 Set-3 | Quantitative Aptitude | Question: 17
After two successive increments, Gopal's salary became $187.5 \%$ of his initial salary. If the percentage of salary increase in the second increment was twice of that in...
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CAT 2024 Set-3 | Quantitative Aptitude | Question: 18
A circular plot of land is divided into two regions by a chord of length $10 \sqrt{3}$ meters such that the chord subtends an angle of $120^{\circ}$ at the center. Then, ...
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562
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CAT 2024 Set-3 | Quantitative Aptitude | Question: 19
Aman invests $\mathrm{Rs} \: 4000$ in a bank at a certain rate of interest, compounded annually. If the ratio of the value of the investment after $3$ years to the value ...
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CAT 2024 Set-3 | Quantitative Aptitude | Question: 20
If $(a+b \sqrt{3})^{2}=52+30 \sqrt{3}$, where $a$ and $b$ are natural numbers, then $a+b$ equals$9$$8$$7$$10$
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CAT 2024 Set-3 | Quantitative Aptitude | Question: 21
Rajesh and Vimal own $20$ hectares and $30$ hectares of agricultural land, respectively, which are entirely covered by wheat and mustard crops. The cultivation area of wh...
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794
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CAT 2024 Set-3 | Quantitative Aptitude | Question: 22
Gopi marks a price on a product in order to make $20 \%$ profit. Ravi gets $10 \%$ discount on this marked price, and thus saves Rs $15$. Then, the profit, in rupees, mad...
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CAT 2024 Set-3 | Data Interpretation and Logical Reasoning | Question: 1
The air-conditioner $\text{(AC)}$ in a large room can be operated either in $\text{REGULAR}$ mode or in $\text{POWER}$ mode to reduce the temperature.If the $\text{AC}$ o...
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597
597 views
CAT 2024 Set-3 | Data Interpretation and Logical Reasoning | Question: 2
The air-conditioner $\text{(AC)}$ in a large room can be operated either in $\text{REGULAR}$ mode or in $\text{POWER}$ mode to reduce the temperature.If the $\text{AC}$ o...
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627
627 views
CAT 2024 Set-3 | Data Interpretation and Logical Reasoning | Question: 3
The air-conditioner $\text{(AC)}$ in a large room can be operated either in $\text{REGULAR}$ mode or in $\text{POWER}$ mode to reduce the temperature.If the $\text{AC}$ o...
0 0 votes
0 0 answers
455
455 views
CAT 2024 Set-3 | Data Interpretation and Logical Reasoning | Question: 4
The air-conditioner $\text{(AC)}$ in a large room can be operated either in $\text{REGULAR}$ mode or in $\text{POWER}$ mode to reduce the temperature.If the $\text{AC}$ o...
0 0 votes
0 0 answers
577
577 views
CAT 2024 Set-3 | Data Interpretation and Logical Reasoning | Question: 5
The air-conditioner $\text{(AC)}$ in a large room can be operated either in $\text{REGULAR}$ mode or in $\text{POWER}$ mode to reduce the temperature.If the $\text{AC}$ o...
0 0 votes
0 0 answers
484
484 views
CAT 2024 Set-3 | Data Interpretation and Logical Reasoning | Question: 6
Over the top $\text{(OTT)}$ subscribers of a platform are segregated into three categories: Kid,Elder,Others. Some of the subscribers used one app and the others used mul...
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534
534 views
CAT 2024 Set-3 | Data Interpretation and Logical Reasoning | Question: 7
Over the top $\text{(OTT)}$ subscribers of a platform are segregated into three categories: Kid,Elder,Others. Some of the subscribers used one app and the others used mul...
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476
476 views
CAT 2024 Set-3 | Data Interpretation and Logical Reasoning | Question: 8
Over the top $\text{(OTT)}$ subscribers of a platform are segregated into three categories: Kid,Elder,Others. Some of the subscribers used one app and the others used mul...
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0 0 answers
498
498 views
CAT 2024 Set-3 | Data Interpretation and Logical Reasoning | Question: 9
Over the top $\text{(OTT)}$ subscribers of a platform are segregated into three categories: Kid,Elder,Others. Some of the subscribers used one app and the others used mul...
0 0 votes
0 0 answers
432
432 views
CAT 2024 Set-3 | Data Interpretation and Logical Reasoning | Question: 10
Out of $10$ countries Country $1$ through Country $10$ Country $9$ has the highest gross domestic product (GDP), and Country $10$ has the highest GDP per capita. GDP ...
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527
527 views
CAT 2024 Set-3 | Data Interpretation and Logical Reasoning | Question: 11
Out of $10$ countries Country $1$ through Country $10$ Country $9$ has the highest gross domestic product (GDP), and Country $10$ has the highest GDP per capita. GDP ...
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481
481 views
CAT 2024 Set-3 | Data Interpretation and Logical Reasoning | Question: 12
Out of $10$ countries Country $1$ through Country $10$ Country $9$ has the highest gross domestic product (GDP), and Country $10$ has the highest GDP per capita. GDP ...
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419
419 views
CAT 2024 Set-3 | Data Interpretation and Logical Reasoning | Question: 13
Out of $10$ countries Country $1$ through Country $10$ Country $9$ has the highest gross domestic product (GDP), and Country $10$ has the highest GDP per capita. GDP ...
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496
496 views
CAT 2024 Set-3 | Data Interpretation and Logical Reasoning | Question: 14
The figure below shows a network with three parallel roads represented by horizontal lines $\mathrm{R-A}$, $\mathrm{R-B}$, and $\mathrm{R-C}$ and another three parallel r...
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495
495 views
CAT 2024 Set-3 | Data Interpretation and Logical Reasoning | Question: 15
The figure below shows a network with three parallel roads represented by horizontal lines $\mathrm{R-A}$, $\mathrm{R-B}$, and $\mathrm{R-C}$ and another three parallel r...
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469
469 views
CAT 2024 Set-3 | Data Interpretation and Logical Reasoning | Question: 16
The figure below shows a network with three parallel roads represented by horizontal lines $\mathrm{R-A}$, $\mathrm{R-B}$, and $\mathrm{R-C}$ and another three parallel r...
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524
524 views
CAT 2024 Set-3 | Data Interpretation and Logical Reasoning | Question: 17
The figure below shows a network with three parallel roads represented by horizontal lines $\mathrm{R-A}$, $\mathrm{R-B}$, and $\mathrm{R-C}$ and another three parallel r...
0 0 votes
0 0 answers
540
540 views
CAT 2024 Set-3 | Data Interpretation and Logical Reasoning | Question: 18
The figure below shows a network with three parallel roads represented by horizontal lines $\mathrm{R-A}$, $\mathrm{R-B}$, and $\mathrm{R-C}$ and another three parallel r...
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