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CAT 2023 Set-3 | Quantitative Aptitude | Question: 20
Let $a_{n}=46+8 n$ and $b_{n}=98+4 n$ be two sequences for natural numbers $n \leq 100$. Then, the sum of all terms common to both the sequences is$14900$$15000$$14798$$1...
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CAT 2023 Set-3 | Quantitative Aptitude | Question: 19
In a regular polygon, any interior angle exceeds the exterior angle by 120 degrees. Then, the number of diagonals of this polygon is
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CAT 2023 Set-3 | Quantitative Aptitude | Question: 18
A rectangle with the largest possible area is drawn inside a semicircle of radius $2 \mathrm{~cm}$. Then, the ratio of the lengths of the largest to the smallest side of ...
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CAT 2023 Set-3 | Quantitative Aptitude | Question: 17
Let $\triangle A B C$ be an isosceles triangle such that $A B$ and $A C$ are of equal length. $A D$ is the altitude from $A$ on $B C$ and $B E$ is the altitude from $B$ o...
1 answers 1 answer
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CAT 2023 Set-3 | Quantitative Aptitude | Question: 14
Gautam and Suhani, working together, can finish a job in $20$ days. If Gautam does only $60 \%$ of his usual work on a day, Suhani must do $150 \%$ of her usual work on t...
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CAT 2023 Set-3 | Quantitative Aptitude | Question: 13
A merchant purchases a cloth at a rate of Rs. $100$ per meter and receives $5 \mathrm{~cm}$ length of cloth free for every $100 \mathrm{~cm}$ length of cloth purchased by...
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CAT 2023 Set-3 | Quantitative Aptitude | Question: 9
Anil mixes cocoa with sugar in the ratio $3: 2$ to prepare mixture $A$, and coffee with sugar in the ratio $7: 3$ to prepare mixture $B$. He combines mixtures $A$ and $B$...
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CAT 2023 Set-3 | Quantitative Aptitude | Question: 4
For a real number $x$, if $\frac{1}{2}, \frac{\log _{3}\left(2^{x}-9\right)}{\log _{3} 4}$, and $\frac{\log _{5}\left(2^{x}+\frac{17}{2}\right)}{\log _{5} 4}$ are in an a...
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CAT 2023 Set-3 | Quantitative Aptitude | Question: 7
Let $n$ be any natural number such that $5^{n-1}<3^{n+1}$. Then, the least integer value of $m$ that satisfies $3^{n+1}<2^{n+m}$ for each such $n$, is
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CAT 2023 Set-3 | Quantitative Aptitude | Question: 8
A boat takes $2$ hours to travel downstream a river from port $\text{A}$ to port $\text{B}$, and $3$ hours to return to port $\text{A}$. Another boat takes a total of $6$...
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CAT 2023 Set-3 | Quantitative Aptitude | Question: 3
For some real numbers $a$ and $b$, the system of equations $x+y=4$ and $(a+5) x+\left(b^{2}-15\right) y=8 b$ has infinitely many solutions for $x$ and $y$. Then, the maxi...
1 answers 1 answer
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CAT 2023 Set-3 | Quantitative Aptitude | Question: 1
If $x$ is a positive real number such that $x^{8}+\left(\frac{1}{x}\right)^{8}=47$, then the value of $x^{9}+\left(\frac{1}{x}\right)^{9}$ is$34 \sqrt{5}$$40 \sqrt{5}$$36...
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CAT 2023 Set-2 | Quantitative Aptitude | Question: 15
Jayant bought a certain number of white shirts at the rate of Rs $1000$ per piece and a certain number of blue shirts at the rate of Rs $1125$ per piece. For each shirt, ...
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CAT 2023 Set-2 | Quantitative Aptitude | Question: 14
A container has $40$ liters of milk. Then, $4$ liters are removed from the container and replaced with $4$ liters of water. This process of replacing $4$ liters of the li...
1 1 answer
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CAT 2023 Set-2 | Quantitative Aptitude | Question: 7
For some positive real number $x$, if $\log _{\sqrt{3}}(x)+\frac{\log _{x}(25)}{\log _{x}(0.008)}=\frac{16}{3}$, then the value of $\log _{3}\left(3 x^{2}\right)$ is
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CAT 2023 Set-1 | Quantitative Aptitude | Question: 20
The number of all natural numbers up to $1000$ with non-repeating digits is$648$$585$$504$$738$
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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 tha...
1 answers 1 answer
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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 jo...
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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...
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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 \...
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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
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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}$
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CAT 2000 | Question: 157
Answer the following question based on the information given below.The figures below present annual growth rate, expressed as the $\%$ change relative to the previous yea...
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CAT 2000 | Question: 154
Answer the following question based on the information given below.The figures below present annual growth rate, expressed as the $\%$ change relative to the previous yea...
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CAT 2000 | Question: 149
Answer the following question based on the information given below.FEI for a country in a year, is the ratio (expressed as a percentage) of its foreign equity inflows to ...
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CAT 2000 | Question: 148
Answer the following question based on the information given below.FEI for a country in a year, is the ratio (expressed as a percentage) of its foreign equity inflows to ...
0 0 answers
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CAT 2000 | Question: 147
Answer the following question based on the information given below.FEI for a country in a year, is the ratio (expressed as a percentage) of its foreign equity inflows to ...