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Recent questions tagged cat2021-set1

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CAT 2021 Set-1 | Data Interpretation and Logical Reasoning | Question: 11
A journal plans to publish $18$ research papers, written by eight authors $\text{(A, B, C, D, E, F, G, and H)}$ in four issues of the journal scheduled in January, April,...
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CAT 2021 Set-1 | Data Interpretation and Logical Reasoning | Question: 18
Amudha, Bharatan, Chandran, Dhinesh, Ezhil, Fani and Gowtham are seven people in a town. Any pair of them could either be strangers, acquaintances, or friends. All relati...
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CAT 2021 Set-1 | Data Interpretation and Logical Reasoning | Question: 19
Amudha, Bharatan, Chandran, Dhinesh, Ezhil, Fani and Gowtham are seven people in a town. Any pair of them could either be strangers, acquaintances, or friends. All relati...
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CAT 2021 Set-1 | Data Interpretation and Logical Reasoning | Question: 20
Amudha, Bharatan, Chandran, Dhinesh, Ezhil, Fani and Gowtham are seven people in a town. Any pair of them could either be strangers, acquaintances, or friends. All relati...
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CAT 2021 Set-1 | Quantitative Aptitude | Question: 1
How many three-digit numbers are greater than $100$ and increase by $198$ when the three digits are arranged in the reverse order?
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CAT 2021 Set-1 | Quantitative Aptitude | Question: 2
A basket of $2$ apples, $4$ oranges and $6$ mangoes costs the same as a basket of $1$ apple, $4$ oranges and $8$ mangoes, or a basket of $8$ oranges and $7$ mangoes. Then...
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CAT 2021 Set-1 | Quantitative Aptitude | Question: 3
The natural numbers are divided into groups as $(1), (2,3,4), (5,6,7,8,9), \dots $ and so on. Then, the sum of the numbers in the $15 \text{th}$ group is equal to $6090$$...
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CAT 2021 Set-1 | Quantitative Aptitude | Question: 4
Amar, Akbar and Anthony are working on a project. Working together Amar and Akbar can complete the project in $1 \; \text{year},$ Akbar and Anthony can complete in $16$ m...
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CAT 2021 Set-1 | Quantitative Aptitude | Question: 5
Anu, Vinu and Manu can complete a work alone in $15 \; \text{days}, 12 \; \text{days}$ and $20 \; \text{days},$ respectively. Vinu works everyday. Anu works only on alter...
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CAT 2021 Set-1 | Quantitative Aptitude | Question: 6
The amount Neeta and Geeta together earn in a day equals what Sita alone earns in $6 \; \text{days}.$The amount Sita and Neeta together earn in a day equals what Geeta al...
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CAT 2021 Set-1 | Quantitative Aptitude | Question: 7
If the area of a regular hexagon is equal to the area of an equilateral triangle of side $12 \; \text{cm},$ then the length, in cm, of each side of the hexagon is $6 \sqr...
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CAT 2021 Set-1 | Quantitative Aptitude | Question: 8
$f(x) = \dfrac{x^{2} + 2x – 15}{x^{2} – 7x – 18}$ is negative if and only if$ – 2 < x < 3 \; \text{or} \; x 9 $$ x < – 5 \; \text{or} \; 3 < x < 9 $$ – 5 < x < – 2 \; \t...
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CAT 2021 Set-1 | Quantitative Aptitude | Question: 9
Amal purchases some pens at $₹ \; 8$ each. To sell these, he hires an employee at a fixed wage. He sells $100$ of these pens at $₹ \; 12$ each. If the remaining pens are ...
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CAT 2021 Set-1 | Quantitative Aptitude | Question: 10
The number of groups of three or more distinct numbers that can be chosen from $1, 2, 3, 4, 5, 6, 7,$ and $8$ so that the groups always include $3$ and $5,$ while $7$ and...
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CAT 2021 Set-1 | Quantitative Aptitude | Question: 11
The strength of an indigo solution in percentage is equal to the amount of indigo in grams per $100 \; \text{cc}$ of water. Two $800 \; \text{cc}$ bottles are filled with...
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CAT 2021 Set-1 | Quantitative Aptitude | Question: 12
Suppose the length of each side of a regular hexagon $\text{ABCDEF}$ is $2 \; \text{cm}.$ It $\text{T}$ is the mid point of $\text{CD},$ then the length of $\text{AT, in ...
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CAT 2021 Set-1 | Quantitative Aptitude | Question: 13
If $r$ is a constant such that $|x^{2} – 4x -13| = r$ has exactly three distinct real roots, then the value of $r$ is$15$$18$$17$$21$
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CAT 2021 Set-1 | Quantitative Aptitude | Question: 14
If $x_{0} = 1, x_{1} = 2$ and $x_{n+2} = \dfrac{1 + x_{n+1}}{x_{n}}, n = 0, 1, 2, 3, \dots ,$ then $x_{2021}$ is equal to$1$$3$$4$$2$
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CAT 2021 Set-1 | Quantitative Aptitude | Question: 15
If $5 – \log_{10} \sqrt{1+x} + 4 \log_{10} \sqrt{1-x} = \log_{10} \frac{1}{\sqrt{1-x^{2}}},$ then $100x$ equals
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CAT 2021 Set-1 | Quantitative Aptitude | Question: 16
Suppose hospital $\text{A}$ admitted $21$ less Covid infected patients than hospital $\text{B},$ and all eventually recovered. The sum of recovery days for patients in ho...
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CAT 2021 Set-1 | Quantitative Aptitude | Question: 17
The number of integers $n$ that satisfy the inequalities $ |n – 60| < |n – 100| < |n – 20|$ is$18$$19$$21$$20$
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CAT 2021 Set-1 | Quantitative Aptitude | Question: 18
Two trains cross each other in $14 \; \text{seconds}$ when running in opposite directions along parallel tracks. The faster train is $160 \; \text{m}$ long and crosses a ...
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CAT 2021 Set-1 | Quantitative Aptitude | Question: 19
Anil invests some money at a fixed rate of interest, compounded annually. If the interests accrued during the second and third year are ₹ $806.25$ and ₹ $866.72,$ respect...
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CAT 2021 Set-1 | Quantitative Aptitude | Question: 20
A circle of diameter $8 \; \text{inches}$ is inscribed in a triangle $\text{ABC}$ where $\angle \text{ABC} = 90^{\circ}.$ If $\text{BC} = 10 \; \text{inches}$ then the ar...
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CAT 2021 Set-1 | Quantitative Aptitude | Question: 21
Onion is sold for $5$ consecutive months at the rate of $\text{Rs}\; 10, 20, 25, 25,$ and $50 \; \text{per kg},$ respectively. A family spends a fixed amount of money on ...
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CAT 2021 Set-1 | Quantitative Aptitude | Question: 22
Identical chocolate pieces are sold in boxes of two sizes, small and large. The large box is sold for twice the price of the small box. If the selling price $\text{per gr...
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