# CAT 2021 Question Paper Slot 3 | CAT Quants

###### CAT Quantitative Aptitude | CAT 2021 Question Paper

CAT 2021 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.

1. #### CAT 2021 Slot 3 - QA

If a certain weight of an alloy of silver and copper is mixed with 3 kg of pure silver, the resulting alloy will have 90% silver by weight. If the same weight of the initial alloy is mixed with 2 kg of another alloy which has 90% silver by weight, the resulting alloy will have 84% silver by weight. Then, the weight of the initial alloy, in kg, is

1. 3
2. 2.5
3. 4
4. 3.5

2. #### CAT 2021 Slot 3 - QA

Anil can paint a house in 12 days while Barun can paint it in 16 days. Anil, Barun, and Chandu undertake to paint the house for ₹ 24000 and the three of them together complete the painting in 6 days. If Chandu is paid in proportion to the work done by him, then the amount in INR received by him is

3. #### CAT 2021 Slot 3 - QA

Mira and Amal walk along a circular track, starting from the same point at the same time. If they walk in the same direction, then in 45 minutes, Amal completes exactly 3 more rounds than Mira. If they walk in opposite directions, then they meet for the first time exactly after 3 minutes. The number of rounds Mira walks in one hour is

4. #### CAT 2021 Slot 3 - QA

A four-digit number is formed by using only the digits 1, 2 and 3 such that both 2 and 3 appear at least once. The number of all such four-digit numbers is

5. #### CAT 2021 Slot 3 - QA

In a triangle ABC , ∠ BCA =50°. D and E are points on AB and AC, respectively, such that AD = DE. If F is a point on BC such that BD = DF, then ∠ FDE, in degrees, is equal to

1. 100
2. 80
3. 96
4. 72

19. #### CAT 2021 Slot 3 - QA

The cost of fencing a rectangular plot is ₹ 200 per ft along one side, and ₹ 100 per ft along the three other sides. If the area of the rectangular plot is 60000 sq. ft, then the lowest possible cost of fencing all four sides, in INR, is

1. 90000
2. 160000
3. 120000
4. 100000

If $n$ is a positive integer such that $($sqrt[7]{10})$$sqrt[7]{10})^{2} $ldots$$sqrt[7]{10}$^{n}>999$, then the smallest value of $n$ is 21. #### CAT 2021 Slot 3 - QA Bank A offers 6% interest rate per annum compounded half yearly. Bank B and Bank C offer simple interest but the annual interest rate offered by Bank C is twice that of Bank B. Raju invests a certain amount in Bank B for a certain period and Rupa invests ₹ 10,000 in Bank C for twice that period. The interest that would accrue to Raju during that period is equal to the interest that would have accrued had he invested the same amount in Bank A for one year. The interest accrued, in INR, to Rupa is 1. 2436 2. 3436 3. 2346 4. 1436 22. #### CAT 2021 Slot 3 - QA If $f$x)=x^{2}-7 x$ and $g(x)=x+3$, then the minimum value of $f(g(x))-3 x$ is

1. - 20
2. - 15
3. - 12
4. - 16

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