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CAT 2020 Set-1 | Question: 40
Four institutes, $\text{A, B, C,}$ and $\text{D}$, had contracts with four vendors $\text{W, X, Y,}$ and $\text{Z}$ during the ten calendar years from $2010$ to $2019$. T...
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CAT 2020 Set-1 | Question: 41
In a certain board examination, students were to appear for examination in five subjects: English, Hindi, Mathematics, Science, and Social Science. Due to a certain emerg...
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CAT 2020 Set-1 | Question: 42
In a certain board examination, students were to appear for examination in five subjects: English, Hindi, Mathematics, Science and Social Science. Due to a certain emerge...
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CAT 2020 Set-1 | Question: 43
In a certain board examination, students were to appear for examination in five subjects: English, Hindi, Mathematics, Science and Social Science. Due to a certain emerge...
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CAT 2020 Set-1 | Question: 44
In a certain board examination, students were to appear for examination in five subjects: English, Hindi, Mathematics, Science, and Social Science. Due to a certain emerg...
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CAT 2020 Set-1 | Question: 45
In a certain board examination, students were to appear for examination in five subjects: English, Hindi, Mathematics, Science, and Social Science. Due to a certain emerg...
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CAT 2020 Set-1 | Question: 47
$1000$ patients currently suffering from a disease were selected to study the effectiveness of treatment of four types of medicines $\text{-A, B, C}$ and $\text{D}$. Thes...
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CAT 2020 Set-1 | Question: 48
$1000$ patients currently suffering from a disease were selected to study the effectiveness of treatment of four types of medicines $\text{-A, B, C}$ and $\text{D}$. Thes...
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CAT 2020 Set-1 | Question: 49
$1000$ patients currently suffering from a disease were selected to study the effectiveness of treatment of four types of medicines $\text{-A, B, C}$ and $\text{D}$. Thes...
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CAT 2020 Set-1 | Question: 50
$1000$ patients currently suffering from a disease were selected to study the effectiveness of treatment of four types of medicines $\text{-A, B, C}$ and $\text{D}$. Thes...
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CAT 2020 Set-1 | Question: 51
How many $3-$digit numbers are there, for which the product of their digits is more than $2$ but less than $7$?
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CAT 2020 Set-1 | Question: 52
Veeru invested Rs $10000$ at $5\%$ simple annual interest, and exactly after two years, Joy invested Rs $8000$ at $10\%$ simple annual interest. How many years after Veer...
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CAT 2020 Set-1 | Question: 53
An alloy is prepared by mixing three metals $\text{A, B}$ and $\text{C}$ in the proportion $3:4:7$ by volume. Weights of the same volume of the metals $\text{A, B}$ and ...
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CAT 2020 Set-1 | Question: 54
On a rectangular metal sheet of area $135$ sq in, a circle is painted such that the circle touches two opposite sides. If the area of the sheet left unpainted is two-thir...
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CAT 2020 Set-1 | Question: 55
If $\log_4 5=\left ( \log _{4}y \right )\left ( \log _{6}\sqrt{5} \right )$, then $y$ equals
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CAT 2020 Set-1 | Question: 56
Two persons are walking beside a railway track at respective speeds of $2$ and $4$ km per hour in the same direction. A train came from behind them and crossed them in $9...
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CAT 2020 Set-1 | Question: 57
The number of real$-$valued of the equation $2^{x}+2^{-x}=2-(x-2)^{2}$ isinfinite$1$$0$$2$
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CAT 2020 Set-1 | Question: 58
If $y$ is a negative number such that $2^{y^{2}\log _{2}3}=5^{\log_{2}3}$, then $y$ equals$\log _{2}\left ( \frac{1}{3} \right )$$-\log _{2}\left ( \frac{1}{3} \right )$$...
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CAT 2020 Set-1 | Question: 59
How many distinct positive integer-valued solutions exist to the equation $\left ( x^{2}-7x+11 \right )^{(x^{2}-13x+42)} =1$?$6$$8$$2$$4$
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CAT 2020 Set-1 | Question: 60
A person spent Rs $50000$ to produce a desktop computer and a laptop computer. He sold the desktop at $20\%$ profit and the laptop at $10\%$ loss. If overall he made a $2...
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CAT 2020 Set-1 | Question: 61
The area of the region satisfying the inequilities $\left | x \right |-y\leq 1,y\geq 0$ and $y\leq 1$ is
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CAT 2020 Set-1 | Question: 62
A straight road connects points $\text{A}$ and $\text{B}$. Car $1$ travels from $\text{A}$ to $\text{B}$ and Car $2$ travels from $\text{B}$ to $\text{A}$, both leaving a...
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CAT 2020 Set-1 | Question: 63
Among $100$ students, $x_{1}$ have birthdays in January, $x_{2}$ have birthdays in February, and so on. If $x_{0}= \text{max}\left ( x_{1},x_{2},\dots,x_{12} \right ),$ t...
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CAT 2020 Set-1 | Question: 64
The mean of all $4-$digit even natural numbers of the form $\text{‘}aabb\text{’},$ where $a>0,$ is$5050$$4466$$5544$$4864$
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CAT 2020 Set-1 | Question: 65
Leaving home at the same time, Amal reaches office at $10:15$ am if he travels at $8$ km/hr, and at $9:40$ am if he travels at $15$ km/hr. Leaving home at $9:10$ am, at w...
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CAT 2020 Set-1 | Question: 66
A train travelled at one$-$thirds of its usual speed, and hence reached the destination $30$ minutes after the scheduled time. On its return journey, the train initially ...
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CAT 2020 Set-1 | Question: 67
If $x=\left ( 4096 \right )^{7+4\sqrt{3}}$, then which of the following equals $64$?$\frac{x^{7}}{x^{2\sqrt{3}}}$$\frac{x^{7}}{x^{4\sqrt{3}}}$$\frac{x^\frac{7}{2}}{x^\fra...
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CAT 2020 Set-1 | Question: 68
If $f\left ( 5+x \right )= f\left ( 5-x \right )$ for every real $x,$ and $f\left ( x \right )=0$ has four distinct real roots, then the sum of these roots is$0$$40$$10$$...
1 1 vote
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CAT 2020 Set-1 | Question: 69
If $a, b$ and $c$ are positive integers such that $ab=432, bc=96$ and $c<9,$ then the smallest possible value of $a+b+c$ is$56$$59$$49$$46$
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CAT 2020 Set-1 | Question: 70
In a group of people, $28\%$ of the members are young while the rest are old. If $65\%$ of the members are literates, and $25\%$ of the literates are young, then the perc...
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CAT 2020 Set-1 | Question: 71
A circle is inscribed in a rhombus with diagonals $12$ cm and $16$ cm. The ratio of the area of circle to the area of rhombus is $\frac{5\pi }{18}$ $\frac{6\pi }{25}$ $\f...
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CAT 2020 Set-1 | Question: 72
A gentleman decided to treat a few children in the following manner. He gives half of his total stock of toffees and one extra to the first child, and then the half of th...
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CAT 2020 Set-1 | Question: 73
Let $\text{A, B}$ and $\text{C}$ be three positive integers such that the sum of $\text{A}$ and the mean of $\text{B}$ and $\text{C}$ is $5$. In addition, the sum of $\te...
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CAT 2020 Set-1 | Question: 74
A solution, of volume $40$ litres, has dye and water in the proportion $2:3.$ Water is added to the solution to change this proportion to $2:5.$ If one$-$ fourths of this...
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CAT 2020 Set-1 | Question: 75
The number of distinct real roots of the equation $\left ( x+\frac{1}{x}\right )^{2}-3\left ( x+\frac{1}{x} \right )+2= 0$ equals
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CAT 2020 Set-1 | Question: 76
A solid right circular cone of height $27$ cm is cut into two pieces along a plane parallel to its base at a height of $18$ cm from the base. If the difference in volume ...
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