# CAT 2022 Question Paper | Quant Slot 1

###### CAT Previous Year Paper | CAT Quant Questions | Question 7

CAT 2022 Quant was dominated by Arithmetic 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.

Question 7 : 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

1. 3
2. 4
3. 5
4. 1

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Let the four integers be $I_1, I_2, I_3$ and $I_4$.
We know that the average of $I_1, I_2, I_3$is 13.
If $I _ { 4 }$is also 13, the average will be unchanged. The new average is also 13.
If $I _ { 4 }$ is 13 + 4, the average will increase by 1. The new average is 14.
If $I _ { 4 }$ is 13 + 4(2), the average will increase by 2. The new average is 15.
If $I _ { 4 }$ is 13 + 4(x), the average will increase by x. The new average is 13 + x.
If $I _ { 4 }$ is 13 - 4, the average will decrease by 1. The new average is 12.
If $I _ { 4 }$ is 13 - 4(2), the average will decrease by 2. The new average is 11.
If $I _ { 4 }$ is 13 - 4(x), the average will decrease by x. The new average is 13 - x.