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Recent questions tagged quantitative-aptitude

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42
CAT 2022 Set-1 | Quantitative Aptitude | Question: 9
A mixture contains lemon juice and sugar syrup in equal proportion. If a new mixture is created by adding this mixture and sugar syrup in the ratio $1: 3$, then the ratio of lemon juice and sugar syrup in the new mixture is Ans $1: 7$ $1: 6$ $1: 5$ $1: 4$
A mixture contains lemon juice and sugar syrup in equal proportion. If a new mixture is created by adding this mixture and sugar syrup in the ratio $1: 3$, then the ratio...
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CAT 2022 Set-1 | Quantitative Aptitude | Question: 12
All the vertices of a rectangle lie on a circle of radius $R$. If the perimeter of the rectangle is $P$, then the area of the rectangle is $\frac{P^{2}}{16}-R^{2}$ $\frac{P^{2}}{8}-2 R^{2} $ $\frac{P^{2}}{2}-2 P R $ $\frac{P^{2}}{8}-\frac{R^{2}}{2}$
All the vertices of a rectangle lie on a circle of radius $R$. If the perimeter of the rectangle is $P$, then the area of the rectangle is$\frac{P^{2}}{16}-R^{2}$$\frac{P...
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CAT 2022 Set-1 | Quantitative Aptitude | Question: 14
Let $a$ and $b$ be natural numbers. If $a^{2}+a b+a=14$ and $b^{2}+a b+b=28$, then $(2 a+b)$ equals $8$ $9$ $7$ $10$
Let $a$ and $b$ be natural numbers. If $a^{2}+a b+a=14$ and $b^{2}+a b+b=28$, then $(2 a+b)$ equals$8$$9$$7$$10$
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CAT 2022 Set-1 | Quantitative Aptitude | Question: 18
For natural numbers $x, y$, and $z$, if $x y+y z=19$ and $y z+x z=51$, then the minimum possible value of $x y z$ is
For natural numbers $x, y$, and $z$, if $x y+y z=19$ and $y z+x z=51$, then the minimum possible value of $x y z$ is
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52
CAT 2022 Set-1 | Quantitative Aptitude | Question: 19
Let $0 \leq a \leq x \leq 100$ and $f(x)=|x-a|+|x-100|+|x-a-50|$. Then the maximum value of $f(x)$ becomes $100$ when $a$ is equal to $0$ $25$ $100$ $50$
Let $0 \leq a \leq x \leq 100$ and $f(x)=|x-a|+|x-100|+|x-a-50|$. Then the maximum value of $f(x)$ becomes $100$ when $a$ is equal to$0$$25$$100$$50$
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CAT 2022 Set-1 | Quantitative Aptitude | Question: 20
For any real number $x$, let $[x]$ be the largest integer less than or equal to $x$. If $\sum_{n=1}^{N}\left[\frac{1}{5}+\frac{n}{25}\right]=25$ then $N$ is
For any real number $x$, let $[x]$ be the largest integer less than or equal to $x$. If $\sum_{n=1}^{N}\left[\frac{1}{5}+\frac{n}{25}\right]=25$ then $N$ is
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CAT 2022 Set-1 | Quantitative Aptitude | Question: 21
For any natural number $n$, suppose the sum of the first $n$ terms of an arithmetic progression is $\left(n+2 n^{2}\right)$. If the $n^{\text {th }}$ term of the progression is divisible by $9$ , then the smallest possible value of $n$ is $8$ $7$ $4$ $9$
For any natural number $n$, suppose the sum of the first $n$ terms of an arithmetic progression is $\left(n+2 n^{2}\right)$. If the $n^{\text {th }}$ term of the progress...
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CAT 2022 Set-1 | Quantitative Aptitude | Question: 22
The number of ways of distributing $20$ identical balloons among $4$ children such that each child gets some balloons but no child gets an odd number of balloons, is
The number of ways of distributing $20$ identical balloons among $4$ children such that each child gets some balloons but no child gets an odd number of balloons, is
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CAT 2021 Set-3 | Quantitative Aptitude | Question: 1
Consider a sequence of real numbers $x_{1}, x_{2}, x_{3}, \dots $ such that $x_{n+1} = x_{n} + n – 1$ for all $n \geq 1.$ If $x_{1} = -1$ then $x_{100}$ is equal to $4950$ $4850$ $4849$ $4949$
Consider a sequence of real numbers $x_{1}, x_{2}, x_{3}, \dots $ such that $x_{n+1} = x_{n} + n – 1$ for all $n \geq 1.$ If $x_{1} = -1$ then $x_{100}$ is equal to $4...
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CAT 2021 Set-3 | Quantitative Aptitude | Question: 2
Anil can paint a house in $12 \; \text{days}$ while Barun can paint it in $16 \; \text{days}.$ Anil, Barun, and Chandu undertake to paint the house for $ ₹ \; 24000$ ... $\text{INR}$ received by him is
Anil can paint a house in $12 \; \text{days}$ while Barun can paint it in $16 \; \text{days}.$ Anil, Barun, and Chandu undertake to paint the house for $ ₹ \; 24000$ an...
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CAT 2021 Set-3 | Quantitative Aptitude | Question: 3
For a real number $a,$ if $\dfrac{\log_{15}a + \log_{32}a}{(\log_{15}a)(\log_{32}a)} = 4$ then $a$ must lie in the range $a>5$ $3<a<4$ $4<a<5$ $2<a<3$
For a real number $a,$ if $\dfrac{\log_{15}a + \log_{32}a}{(\log_{15}a)(\log_{32}a)} = 4$ then $a$ must lie in the range$a>5$$3<a<4$$4<a<5$$2<a<3$
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CAT 2021 Set-3 | Quantitative Aptitude | Question: 12
If $f(x) = x^{2} – 7x$ and $g(x) = x + 3,$ then the minimum value of $f(g(x)) – 3x$ is $ -16$ $ -15$ $ -20$ $ -12$
If $f(x) = x^{2} – 7x$ and $g(x) = x + 3,$ then the minimum value of $f(g(x)) – 3x$ is$ -16$$ -15$$ -20$$ -12$
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CAT 2021 Set-3 | Quantitative Aptitude | Question: 13
A four-digit number is formed by using only the digits $1, 2$ and $3$ such that both $2$ and $3$ appear at least once. The number of all such four-digit numbers is
A four-digit number is formed by using only the digits $1, 2$ and $3$ such that both $2$ and $3$ appear at least once. The number of all such four-digit numbers is
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