# CAT 2022 Question Paper Slot 1 | CAT Quants

###### CAT Quantitative Aptitude | CAT 2022 Question Paper

CAT 2022 Quant, unlike previous years was not dominated by Arithmetic. Though Arithematic was the most tested topic followed by Algebra. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

1. #### CAT 2022 Slot 1 - QA

Let ABCD 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

1. (−4, 5)
2. (4, 5)
3. (−3, 4)
4. (0, 11)

2. #### CAT 2022 Slot 1 - QA

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

3. #### CAT 2022 Slot 1 - QA

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

1. 1 : 6
2. 1 : 4
3. 1 : 5
4. 1 : 7

4. #### CAT 2022 Slot 1 - QA

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

1. 7
2. 10
3. 9
4. 8

16. #### CAT 2022 Slot 1 - QA

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

1. 62.5%
2. 37.5%
3. 60%
4. 40%

17. #### CAT 2022 Slot 1 - QA

In a class of 100 students, 73 like coffee, 80 like tea and 52 like lemonade. It may be possible that some students do not like any of these three drinks. Then the difference between the maximum and minimum possible number of students who like all the three drinks is

1. 48
2. 53
3. 47
4. 52

22. #### CAT 2022 Slot 1 - QA

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

1. 100
2. 25
3. 0
4. 50

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