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Recent questions tagged cat2023-set1

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1
CAT 2023 Set-1 | Quantitative Aptitude | Question: 1
If $x$ and $y$ are real numbers such that $x^{2}+(x-2 y-1)^{2}=-4 y(x+y)$, then the value $x-2 y$ is $1$ $2$ $-1$ $0$
If $x$ and $y$ are real numbers such that $x^{2}+(x-2 y-1)^{2}=-4 y(x+y)$, then the value $x-2 y$ is$1$$2$$-1$$0$
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CAT 2023 Set-1 | Quantitative Aptitude | Question: 2
If $\sqrt{5 x+9}+\sqrt{5 x-9}=3(2+\sqrt{2})$, then $\sqrt{10 x+9}$ is equal to $3 \sqrt{7}$ $4 \sqrt{5}$ $3 \sqrt{31}$ $2 \sqrt{7}$
If $\sqrt{5 x+9}+\sqrt{5 x-9}=3(2+\sqrt{2})$, then $\sqrt{10 x+9}$ is equal to$3 \sqrt{7}$$4 \sqrt{5}$$3 \sqrt{31}$$2 \sqrt{7}$
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CAT 2023 Set-1 | Quantitative Aptitude | Question: 3
Let $n$ be the least positive integer such that $168$ is a factor of $1134^{n}$. If $m$ is the least positive integer such that $1134^{n}$ is a factor of $168^{m}$, then $m+n$ equals $15$ $12$ $24$ $9$
Let $n$ be the least positive integer such that $168$ is a factor of $1134^{n}$. If $m$ is the least positive integer such that $1134^{n}$ is a factor of $168^{m}$, then ...
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CAT 2023 Set-1 | Quantitative Aptitude | Question: 4
If $x$ and $y$ are positive real numbers such that $\log _{x}\left(x^{2}+12\right)=4$ and $3 \log _{y} x=1$, then $x+y$ equals $11$ $20$ $10$ $68$
If $x$ and $y$ are positive real numbers such that $\log _{x}\left(x^{2}+12\right)=4$ and $3 \log _{y} x=1$, then $x+y$ equals$11$$20$$10$$68$
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CAT 2023 Set-1 | Quantitative Aptitude | Question: 5
The number of integer solutions of equation $2|x|\left(x^{2}+1\right)=5 x^{2}$ is
The number of integer solutions of equation $2|x|\left(x^{2}+1\right)=5 x^{2}$ is
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CAT 2023 Set-1 | Quantitative Aptitude | Question: 6
The equation $x^{3}+(2 r+1) x^{2}+(4 r-1) x+2=0$ has $-2$ as one of the roots. If the other two roots are real, then the minimum possible non-negative integer value of $r$ is
The equation $x^{3}+(2 r+1) x^{2}+(4 r-1) x+2=0$ has $-2$ as one of the roots. If the other two roots are real, then the minimum possible non-negative integer value of $r...
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CAT 2023 Set-1 | Quantitative Aptitude | Question: 7
Let $\alpha$ and $\beta$ be the two distinct roots of the equation $2 x^{2}-6 x+k=0$, such that $(\alpha+\beta)$ and $\alpha \beta$ are the distinct roots of the equation $x^{2}+p x+p=0$. Then, the value of $8(k-p)$ is
Let $\alpha$ and $\beta$ be the two distinct roots of the equation $2 x^{2}-6 x+k=0$, such that $(\alpha+\beta)$ and $\alpha \beta$ are the distinct roots of the equation...
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CAT 2023 Set-1 | Quantitative Aptitude | Question: 9
The minor angle between the hours hand and minutes hand of a clock was observed at $8:48$ am. The minimum duration, in minutes, after $8.48$ am when this angle increases by $50 \%$ is $\frac{36}{11}$ $4$ $\frac{24}{11}$ $2$
The minor angle between the hours hand and minutes hand of a clock was observed at $8:48$ am. The minimum duration, in minutes, after $8.48$ am when this angle increases ...
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CAT 2023 Set-1 | Quantitative Aptitude | Question: 10
The salaries of three friends Sita, Gita and Mita are initially in the ratio $5: 6: 7$, respectively. In the first year, they get salary hikes of $20 \%, 25 \%$ and $20 \%$ ... of the three friends. The salary hike of Gita in the second year is $28 \%$ $26 \%$ $30 \%$ $25 \%$
The salaries of three friends Sita, Gita and Mita are initially in the ratio $5: 6: 7$, respectively. In the first year, they get salary hikes of $20 \%, 25 \%$ and $20 \...
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CAT 2023 Set-1 | Quantitative Aptitude | Question: 11
A mixture $\mathrm{P}$ is formed by removing a certain amount of coffee from a coffee jar and replacing the same amount with cocoa powder. The same amount is again removed from mixture $\mathrm{P}$ ... $\text{P}$ to that in mixture $\text{Q}$ is $5: 9$ $1: 2$ $4: 9$ $1: 3$
A mixture $\mathrm{P}$ is formed by removing a certain amount of coffee from a coffee jar and replacing the same amount with cocoa powder. The same amount is again remove...
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CAT 2023 Set-1 | Quantitative Aptitude | Question: 15
Arvind travels from town $\text{A}$ to town $\text{B}$, and Surbhi from town $\text{B}$ to town $\text{A}$, both starting at the same time along the same route. After meeting each other, Arvind takes $6$ hours to reach town $\text{B}$ ... $\text{A}$ and town $\text{B}$ is
Arvind travels from town $\text{A}$ to town $\text{B}$, and Surbhi from town $\text{B}$ to town $\text{A}$, both starting at the same time along the same route. After mee...
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CAT 2023 Set-1 | Quantitative Aptitude | Question: 18
A quadrilateral $A B C D$ is inscribed in a circle such that $A B: C D=2: 1$ and $B C: A D=5: 4$. If $A C$ and $B D$ intersect at the point $E$, then $A E: C E$ equals $2: 1$ $5: 8$ $8: 5$ $1: 2$
A quadrilateral $A B C D$ is inscribed in a circle such that $A B: C D=2: 1$ and $B C: A D=5: 4$. If $A C$ and $B D$ intersect at the point $E$, then $A E: C E$ equals$2:...
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CAT 2023 Set-1 | Quantitative Aptitude | Question: 20
The number of all natural numbers up to $1000$ with non-repeating digits is $648$ $585$ $504$ $738$
The number of all natural numbers up to $1000$ with non-repeating digits is$648$$585$$504$$738$
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CAT 2023 Set-1 | Data Interpretation and Logical Reasoning | Question: 1
Faculty members in a management school can belong to one of four departments - Finance and Accounting $\text{(F&A)}$, Marketing and Strategy $\text{(M&S)}$, Operations an...
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CAT 2023 Set-1 | Data Interpretation and Logical Reasoning | Question: 2
Faculty members in a management school can belong to one of four departments - Finance and Accounting $\text{(F&A)}$, Marketing and Strategy $\text{(M&S)}$, Operations an...
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CAT 2023 Set-1 | Data Interpretation and Logical Reasoning | Question: 3
Faculty members in a management school can belong to one of four departments - Finance and Accounting $\text{(F&A)}$, Marketing and Strategy $\text{(M&S)}$, Operations an...
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CAT 2023 Set-1 | Data Interpretation and Logical Reasoning | Question: 4
Faculty members in a management school can belong to one of four departments - Finance and Accounting $\text{(F&A)}$, Marketing and Strategy $\text{(M&S)}$, Operations an...
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CAT 2023 Set-1 | Data Interpretation and Logical Reasoning | Question: 5
Faculty members in a management school can belong to one of four departments - Finance and Accounting $\text{(F&A)}$, Marketing and Strategy $\text{(M&S)}$, Operations an...
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CAT 2023 Set-1 | Data Interpretation and Logical Reasoning | Question: 6
The schematic diagram below shows $12$ rectangular houses in a housing complex. House numbers are mentioned in the rectangles representing the houses. The houses are loca...
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CAT 2023 Set-1 | Data Interpretation and Logical Reasoning | Question: 7
The schematic diagram below shows $12$ rectangular houses in a housing complex. House numbers are mentioned in the rectangles representing the houses. The houses are loca...
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CAT 2023 Set-1 | Data Interpretation and Logical Reasoning | Question: 8
The schematic diagram below shows $12$ rectangular houses in a housing complex. House numbers are mentioned in the rectangles representing the houses. The houses are loca...
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CAT 2023 Set-1 | Data Interpretation and Logical Reasoning | Question: 9
The schematic diagram below shows $12$ rectangular houses in a housing complex. House numbers are mentioned in the rectangles representing the houses. The houses are loca...
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CAT 2023 Set-1 | Data Interpretation and Logical Reasoning | Question: 10
The schematic diagram below shows $12$ rectangular houses in a housing complex. House numbers are mentioned in the rectangles representing the houses. The houses are loca...
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CAT 2023 Set-1 | Data Interpretation and Logical Reasoning | Question: 11
A visa processing office $\text{(VPO)}$ accepts visa applications in four categories - US, UK, Schengen, and Others. The applications are scheduled for processing in twen...
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CAT 2023 Set-1 | Data Interpretation and Logical Reasoning | Question: 12
A visa processing office $\text{(VPO)}$ accepts visa applications in four categories - US, UK, Schengen, and Others. The applications are scheduled for processing in twen...
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CAT 2023 Set-1 | Data Interpretation and Logical Reasoning | Question: 13
A visa processing office $\text{(VPO)}$ accepts visa applications in four categories - US, UK, Schengen, and Others. The applications are scheduled for processing in twen...
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CAT 2023 Set-1 | Data Interpretation and Logical Reasoning | Question: 14
A visa processing office $\text{(VPO)}$ accepts visa applications in four categories - US, UK, Schengen, and Others. The applications are scheduled for processing in twen...
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CAT 2023 Set-1 | Data Interpretation and Logical Reasoning | Question: 15
A visa processing office $\text{(VPO)}$ accepts visa applications in four categories - US, UK, Schengen, and Others. The applications are scheduled for processing in twen...
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CAT 2023 Set-1 | Data Interpretation and Logical Reasoning | Question: 16
Five restaurants, coded $\text{R1, R2, R3, R4}$ and $\text{R5}$ gave integer ratings to five gig workers - Ullas, Vasu, Waman, Xavier and Yusuf, on a scale of $1$ to $5$....
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CAT 2023 Set-1 | Data Interpretation and Logical Reasoning | Question: 17
Five restaurants, coded $\text{R1, R2, R3, R4}$ and $\text{R5}$ gave integer ratings to five gig workers - Ullas, Vasu, Waman, Xavier and Yusuf, on a scale of $1$ to $5$....
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CAT 2023 Set-1 | Data Interpretation and Logical Reasoning | Question: 19
Five restaurants, coded $\text{R1, R2, R3, R4}$ and $\text{R5}$ gave integer ratings to five gig workers - Ullas, Vasu, Waman, Xavier and Yusuf, on a scale of $1$ to $5$....
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