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CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 19

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CAT 2022 Set-2 | Data Interpretation and Logical Reasoning | Question: 20

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CAT 2022 Set-2 | Verbal Ability and Reading Comprehension | Question: 1

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CAT 2022 Set-2 | Verbal Ability and Reading Comprehension | Question: 2

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CAT 2022 Set-2 | Verbal Ability and Reading Comprehension | Question: 3

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CAT 2022 Set-2 | Verbal Ability and Reading Comprehension | Question: 4

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CAT 2022 Set-2 | Verbal Ability and Reading Comprehension | Question: 5

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CAT 2022 Set-2 | Verbal Ability and Reading Comprehension | Question: 6

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CAT 2022 Set-2 | Verbal Ability and Reading Comprehension | Question: 7

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CAT 2022 Set-2 | Verbal Ability and Reading Comprehension | Question: 8

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CAT 2022 Set-2 | Verbal Ability and Reading Comprehension | Question: 9

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CAT 2022 Set-2 | Verbal Ability and Reading Comprehension | Question: 10

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CAT 2022 Set-2 | Verbal Ability and Reading Comprehension | Question: 11

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CAT 2022 Set-2 | Verbal Ability and Reading Comprehension | Question: 12

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CAT 2022 Set-2 | Verbal Ability and Reading Comprehension | Question: 13

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CAT 2022 Set-2 | Verbal Ability and Reading Comprehension | Question: 14

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CAT 2022 Set-2 | Verbal Ability and Reading Comprehension | Question: 15

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CAT 2022 Set-2 | Verbal Ability and Reading Comprehension | Question: 16

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CAT 2022 Set-2 | Verbal Ability and Reading Comprehension | Question: 17

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CAT 2022 Set-2 | Verbal Ability and Reading Comprehension | Question: 18

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CAT 2022 Set-2 | Verbal Ability and Reading Comprehension | Question: 19

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CAT 2022 Set-2 | Verbal Ability and Reading Comprehension | Question: 20

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CAT 2022 Set-2 | Verbal Ability and Reading Comprehension | Question: 21

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CAT 2022 Set-2 | Verbal Ability and Reading Comprehension | Question: 22

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CAT 2022 Set-2 | Verbal Ability and Reading Comprehension | Question: 23

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CAT 2022 Set-2 | Verbal Ability and Reading Comprehension | Question: 24

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CAT 2022 Set-1 | Quantitative Aptitude | Question: 1
Pinky is standing in a queue at a ticket counter. Suppose the ratio of the number of persons standing ahead of Pinky to the number of persons standing behind her in the queue is $3: 5$. If the total number of persons in the queue is less than $300,$ then the maximum possible number of persons standing ahead of Pinky is

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148

CAT 2022 Set-1 | Quantitative Aptitude | Question: 2
The largest real value of $a$ for which the equation $|x+a|+|x-1|=2$ has an infinite number of solutions for $x$ is $2$ $-1$ $0$ $1$

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149

CAT 2022 Set-1 | Quantitative Aptitude | Question: 3
The average of three integers is $13$. When a natural number $n$ is included, the average of these four integers remains an odd integer. The minimum possible value of $n$ is $5$ $1$ $3$ $4$

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150

CAT 2022 Set-1 | Quantitative Aptitude | Question: 4
Let $A$ be the largest positive integer that divides all the numbers of the form $3^{k}+4^{k}+5^{k}$, and $B$ be the largest positive integer that divides all the numbers of the form $4^{k}+3\left(4^{k}\right)+4^{k+2}$, where $k$ is any positive integer. Then $(A+B)$ equals

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151

CAT 2022 Set-1 | Quantitative Aptitude | Question: 5
In a village, the ratio of number of males to females is $5: 4$. The ratio of number of literate males to literate females is $2: 3$. The ratio of the number of illiterate males to illiterate females is $4: 3$. If 3600 males in the village are literate, then the total number of females in the village is

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152

CAT 2022 Set-1 | Quantitative Aptitude | Question: 6
Let $A B C D$ be a parallelogram such that the coordinates of its three vertices $A, B, C$ are $(1,1),(3,4)$ and $(-2,8)$, respectively. Then, the coordinates of the vertex $D$ are $(-4,5)$ $(-3,4)$ $(0,11)$ $(4,5)$

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153

CAT 2022 Set-1 | Quantitative Aptitude | Question: 7
Alex invested his savings in two parts. The simple interest earned on the first part at $15 \%$ per annum for 4 years is the same as the simple interest earned on the second part at $12 \%$ per annum for $3$ years. Then, the percentage of his savings invested in the first part is $60\%$ $62.5\%$ $37.5\%$ $4.40\%$

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154

CAT 2022 Set-1 | Quantitative Aptitude | Question: 8
The average weight of students in a class increases by $600 \mathrm{gm}$ when some new students join the class. If the average weight of the new students is $3 \mathrm{~kg}$ more than the average weight of the original students, then the ratio of the number of original students to the number of new students is $1: 2$ $4: 1$ $1: 4$ $3: 1$

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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 $1: 7$ $1: 6$ $1: 5$ $1: 4$

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156

CAT 2022 Set-1 | Quantitative Aptitude | Question: 10
Amal buys $110 \mathrm{~kg}$ of syrup and $120 \mathrm{~kg}$ of juice, syrup being $20 \%$ less costly than juice, per kg. He sells $10 \mathrm{~kg}$ of syrup at $10 \%$ profit and $20 \mathrm{~kg}$ of juice at $20 \%$ profit. ... at ₹ $308.32$ per kg and makes an overall profit of $64 \%$. Then, Amal's cost price for syrup, in rupees per kg, is

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157

CAT 2022 Set-1 | Quantitative Aptitude | Question: 11
$\mathrm{A}$ trapezium $\mathrm{ABCD}$ has side $\mathrm{AD}$ parallel to $\mathrm{BC}, \angle \mathrm{BAD}=90^{\circ}, \mathrm{BC}=3 \mathrm{~cm}$ and $\mathrm{AD}=8 \mathrm{~cm}$. If the perimeter of this trapezium is $36 \mathrm{~cm}$, then its area, in sq. $\mathrm{cm}$, is

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158

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 $ $\frac{P^{2}}{8}-\frac{R^{2}}{2}$

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159

CAT 2022 Set-1 | Quantitative Aptitude | Question: 13
Let $a, b, c$ be non-zero real numbers such that $b^{2}<4 a c$, and $f(x)=a x^{2}+b x+c$. If the set $S$ consists of all integers $m$ such that $f(m)<0$, then the set $S$ must necessarily be either the empty set or the set of all integers the set of all integers the set of all positive integers the empty set

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160

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 $8$ $9$ $7$ $10$

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