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CAT 2021 Set-3 | Data Interpretation and Logical Reasoning | Question: 17
Each of the bottles mentioned in this question contains $50 \; \text{ml}$ of liquid. The liquid in any bottle can be $100 \%$ pure content $\text{(P)}$ or can have certai...
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CAT 2021 Set-3 | Data Interpretation and Logical Reasoning | Question: 18
Each of the bottles mentioned in this question contains $50 \; \text{ml}$ of liquid. The liquid in any bottle can be $100 \%$ pure content $\text{(P)}$ or can have certai...
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CAT 2021 Set-3 | Data Interpretation and Logical Reasoning | Question: 19
Each of the bottles mentioned in this question contains $50 \; \text{ml}$ of liquid. The liquid in any bottle can be $100 \%$ pure content $\text{(P)}$ or can have certai...
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CAT 2021 Set-3 | Data Interpretation and Logical Reasoning | Question: 20
Each of the bottles mentioned in this question contains $50 \; \text{ml}$ of liquid. The liquid in any bottle can be $100 \%$ pure content $\text{(P)}$ or can have certai...
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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 $495...
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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$ and ...
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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$
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CAT 2021 Set-3 | Quantitative Aptitude | Question: 4
In a triangle $\text{ABC}, \angle \text{BCA} = 50^{\circ}. \text{D}$ and $\text{E}$ are points on $\text{AB}$ and $\text{AC},$ respectively, such that $\text{AD = DE}.$ I...
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CAT 2021 Set-3 | Quantitative Aptitude | Question: 5
Bank $\text{A}$ offers $6 \%$ interest rate per annum compounded half yearly. Bank $\text{B}$ and Bank $\text{C}$ offer simple interest but the annual interest rate offer...
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CAT 2021 Set-3 | Quantitative Aptitude | Question: 6
Let $\text{ABCD}$ be a parallelogram. The lengths of the side $\text{AD}$ and the diagonal $\text{AC}$ are $10 \; \text{cm}$ and $20 \; \text{cm},$ respectively. If the a...
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CAT 2021 Set-3 | Quantitative Aptitude | Question: 7
A shop owner bought a total of $64$ shirts from a wholesale market that came in two sizes, small and large. The price of a small shirt was $\text{INR} \; 50$ less than th...
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CAT 2021 Set-3 | Quantitative Aptitude | Question: 8
The arithmetic mean of scores of $25$ students in an examination is $50.$ Five of these students top the examination with the same score. If the scores of the other stude...
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CAT 2021 Set-3 | Quantitative Aptitude | Question: 9
Mira and Amal walk along a circular track, starting from the same point at the same time. If they walk in the same direction, then in $45 \; \text{minutes},$ Amal complet...
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CAT 2021 Set-3 | Quantitative Aptitude | Question: 10
The number of distinct pairs of integers $(m,n)$ satisfying $|1 + mn| < |m + n| < 5$ is
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CAT 2021 Set-3 | Quantitative Aptitude | Question: 11
The cost of fencing a rectangular plot is $ \text{₹} \; 200 \; \text{per ft}$ along one side, and $ \text{₹} \; 100 \; \text{per ft}$ along the three other sides. If the ...
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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$
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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
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CAT 2021 Set-3 | Quantitative Aptitude | Question: 14
If a certain weight of an alloy of silver and copper is mixed with $3 \; \text{kg}$ of pure silver, the resulting alloy will have $90 \%$ silver by weight. If the same we...
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CAT 2021 Set-3 | Quantitative Aptitude | Question: 15
One day, Rahul started a work at $9 \; \text{AM}$ and Gautam joined him two hours later. They then worked together and completed the work at $5 \; \text{PM}$ the same day...
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CAT 2021 Set-3 | Quantitative Aptitude | Question: 16
A park is shaped like a rhombus and has area $96 \; \text{sq m}.$ If $40 \; \text{m}$ of fencing is needed to enclose the park, the cost, in $\text{INR},$ of laying elect...
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CAT 2021 Set-3 | Quantitative Aptitude | Question: 17
The total of male and female populations in a city increased by $25 \%$ from $1970$ to $1980.$ During the same period, the male population increased by $40 \%$ while the ...
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CAT 2021 Set-3 | Quantitative Aptitude | Question: 18
If $n$ is a positive integer such that $( \sqrt[7]{10}) ( \sqrt[7]{10})^{2} \dots ( \sqrt[7]{10})^{n} 999,$ then the smallest value of $n$ is
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CAT 2021 Set-3 | Quantitative Aptitude | Question: 19
If $3x + 2|y| + y = 7$ and $ x + |x| + 3y = 1,$ then $x + 2y$ is$\frac{8}{3}$$1$$ – \frac{4}{3}$$0$
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CAT 2021 Set-3 | Quantitative Aptitude | Question: 20
A tea shop offers tea in cups of three different sizes. The product of the prices, in $\text{INR},$ of three different sizes is equal to $800.$ The prices of the smallest...
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CAT 2021 Set-3 | Quantitative Aptitude | Question: 21
One part of a hostel’s monthly expenses is fixed, and the other part is proportional to the number of its boarders. The hostel collects $ ₹ \; 1600$ per month from each b...
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CAT 2021 Set-3 | Quantitative Aptitude | Question: 22
In a tournament, a team has played $40$ matches so far and won $30 \%$ of them. If they win $60 \%$ of the remaining matches, their overall win percentage will be $50 \%....
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