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Recent questions tagged cat2023-set1
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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$$0$
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cat2023-set1
quantitative-aptitude
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CAT 2023 Set-1 | Quantitative Aptitude | Question: 2
If $\sqrt{5 x+9}+\sqrt{5 x-9}=3(2+\sqrt{2})$, then $\sqrt{10 x+9}$ is equal to $3 \sqrt{7}$ $4 \sqrt{5}$ $3 \sqrt{31}$ $2 \sqrt{7}$
If $\sqrt{5 x+9}+\sqrt{5 x-9}=3(2+\sqrt{2})$, then $\sqrt{10 x+9}$ is equal to$3 \sqrt{7}$$4 \sqrt{5}$$3 \sqrt{31}$$2 \sqrt{7}$
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cat2023-set1
quantitative-aptitude
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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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cat2023-set1
quantitative-aptitude
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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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cat2023-set1
quantitative-aptitude
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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...
admin
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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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cat2023-set1
quantitative-aptitude
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CAT 2023 Set-1 | Quantitative Aptitude | Question: 8
In an examination, the average marks of $4$ girls and $6$ boys is $24$. Each of the girls has the same marks while each of the boys has the same marks. If the marks of any girl is at most double the marks of any boy, but not less ... number of possible distinct integer values of the total marks of $2$ girls and $6$ boys is $20$ $22$ $21$ $19$
In an examination, the average marks of $4$ girls and $6$ boys is $24$. Each of the girls has the same marks while each of the boys has the same marks. If the marks of an...
admin
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cat2023-set1
quantitative-aptitude
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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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cat2023-set1
quantitative-aptitude
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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 \...
admin
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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: 12
Gita sells two objects $\text{A}$ and $\text{B}$ at the same price such that she makes a profit of $20 \%$ on object $\text{A}$ and a loss of $10 \%$ on object $\text{B}$. If she increases the selling price such that objects $\text{A}$ and ... $\text{A}$ will be nearest to $47 \%$ $49 \%$ $42 \%$ $45 \%$
Gita sells two objects $\text{A}$ and $\text{B}$ at the same price such that she makes a profit of $20 \%$ on object $\text{A}$ and a loss of $10 \%$ on object $\text{B}$...
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CAT 2023 Set-1 | Quantitative Aptitude | Question: 13
Brishti went on an $8$-hour trip in a car. Before the trip, the car had travelled a total of $x \mathrm{~km}$ till then, where $x$ is a whole number and is palindromic, i.e., $x$ remains unchanged when its digits are reversed. At the ... average speed at which she drove during the trip, in $\mathrm{km} / \mathrm{h}$, was $90$ $100$ $80$ $110$
Brishti went on an $8$-hour trip in a car. Before the trip, the car had travelled a total of $x \mathrm{~km}$ till then, where $x$ is a whole number and is palindromic, i...
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CAT 2023 Set-1 | Quantitative Aptitude | Question: 14
The amount of job that Amal, Sunil and Kamal can individually do in a day, are in harmonic progression. Kamal takes twice as much time as Amal to do the same amount of job. If Amal and Sunil work for $4$ days and $9$ days, ... for $16$ days to finish the remaining job. Then the number of days Sunil will take to finish the job working alone, is
The amount of job that Amal, Sunil and Kamal can individually do in a day, are in harmonic progression. Kamal takes twice as much time as Amal to do the same amount of jo...
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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: 16
Anil invests Rs. $22000$ for $6$ years in a certain scheme with $4 \%$ interest per annum, compounded half-yearly. Sunil invests in the same scheme for $5$ years, and then reinvests the entire amount received at the end of $5$ ... amounts received by both at the end of $6$ years are same, then the initial investment made by Sunil, in rupees, is
Anil invests Rs. $22000$ for $6$ years in a certain scheme with $4 \%$ interest per annum, compounded half-yearly. Sunil invests in the same scheme for $5$ years, and the...
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CAT 2023 Set-1 | Quantitative Aptitude | Question: 17
Let $\mathrm{C}$ be the circle $x^{2}+y^{2}+4 x-6 y-3=0$ and $\mathrm{L}$ be the locus of the point of intersection of pair of tangents to $\mathrm{C}$ with the angle between the two tangents equal to $60^{\circ}$. Then, the point at which $\mathrm{L}$ touches the line $x=6$ is $(6,6)$ $(6,8)$ $(6,4)$ $(6,3)$
Let $\mathrm{C}$ be the circle $x^{2}+y^{2}+4 x-6 y-3=0$ and $\mathrm{L}$ be the locus of the point of intersection of pair of tangents to $\mathrm{C}$ with the angle bet...
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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: 19
In a right-angled triangle $\triangle A B C$, the altitude $A B$ is $5 \mathrm{~cm}$, and the base $B C$ is $12 \mathrm{~cm} . P$ and $Q$ are two points on $B C$ such that the areas of $\triangle A B P, \triangle A B Q$ ... of $\triangle A B C$ is $1.5$ times the area of $\triangle A B P$, the length of $P Q$, in $\mathrm{cm}$, is
In a right-angled triangle $\triangle A B C$, the altitude $A B$ is $5 \mathrm{~cm}$, and the base $B C$ is $12 \mathrm{~cm} . P$ and $Q$ are two points on $B C$ such tha...
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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 | Quantitative Aptitude | Question: 21
For some positive and distinct real numbers $x, y$ and $z$, if $\frac{1}{\sqrt{y}+\sqrt{z}}$ is the arithmetic mean of $\frac{1}{\sqrt{x}+\sqrt{z}}$ and $\frac{1}{\sqrt{x}+\sqrt{y}}$, then the relationship which ... progression $x, y$ and $z$ are in arithmetic progression $\sqrt{x}, \sqrt{z}$ and $\sqrt{y}$ are in arithmetic progression
For some positive and distinct real numbers $x, y$ and $z$, if $\frac{1}{\sqrt{y}+\sqrt{z}}$ is the arithmetic mean of $\frac{1}{\sqrt{x}+\sqrt{z}}$ and $\frac{1}{\sqrt{x...
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CAT 2023 Set-1 | Quantitative Aptitude | Question: 22
A lab experiment measures the number of organisms at $8$ am every day. Starting with $2$ organisms on the first day, the number of organisms on any day is equal to $3$ more than twice the number on the previous day. If the number of organisms on the $n^{\text {th }}$ day exceeds one million, then the lowest possible value of $n$ is
A lab experiment measures the number of organisms at $8$ am every day. Starting with $2$ organisms on the first day, the number of organisms on any day is equal to $3$ mo...
admin
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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...
admin
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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...
admin
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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...
admin
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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...
admin
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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...
admin
4.5k
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admin
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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...
admin
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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...
admin
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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...
admin
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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...
admin
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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...
admin
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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 $5$....
admin
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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 $5$....
admin
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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 $5$....
admin
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