CAT QA Slot 1 Question Paper with Answer Key PDFs is available. The overall difficulty level of CAT 2021 QA slot 1 was moderate to difficult. CAT 2021 QA slot 1 question paper carried 8 TITA (type in the answer) questions out of a total 22. Attempting 13-15 questions in 40 minutes with 95% accuracy was considered a good attempt. Arithmetic had the greatest weightage of 50% (11 questions).
Candidates preparing for CAT 2025 can download CAT QA question paper with the answer key PDF for the Slot 1 exam conducted on November 28, 2021, to get a better idea about the type of questions asked in the paper and the difficulty level of questions.
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CAT 2021 QA Slot 1 Question Paper with Solution PDF
| CAT 2021 QA Slot 1 Question Paper with Answer Key | Download PDF | Check Solutions |
Suppose the length of each side of a regular hexagon ABCDEF is 2 cm. If T is the mid-point of CD, then the length of AT, in cm, is
If \( r \) is a constant such that \( |x^2 - 4x - 13| = r \) has exactly three distinct real roots, then the value of \( r \) is
The strength of an indigo solution in percentage is equal to the amount of indigo in grams per 100 cc of water. Two 800 cc bottles are filled with indigo solutions of strengths 33% and 17%, respectively. A part of the solution from the first bottle is thrown away and replaced by an equal volume of the solution from the second bottle. If the strength of the indigo solution in the first bottle has now changed to 21%, then the volume, in cc, of the solution left in the second bottle is
A basket of 2 apples, 4 oranges and 6 mangoes costs the same as a basket of 1 apple, 4 oranges and 8 mangoes, or a basket of 8 oranges and 7 mangoes. Then the number of mangoes in a basket of mangoes that has the same cost as the other baskets is
Amal purchases some pens at Rs.8 each. To sell these, he hires an employee at a fixed wage. He sells 100 of these pens at Rs.12 each. If the remaining pens are sold at Rs.11 each, then he makes a net profit of Rs.300, while he makes a net loss of Rs.300 if the remaining pens are sold at Rs.9 each. The wage of the employee, in INR, is
Identical chocolate pieces are sold in boxes of two sizes, small and large. The large box is sold for twice the price of the small box. If the selling price per gram of chocolate in the large box is 12% less than that in the small box, then the percentage by which the weight of chocolate in the large box exceeds that in the small box is nearest to
If \(5 - \log_{10}\sqrt{1+x} + 4\log_{10}\sqrt{1-x} = \log_{10} \left( \dfrac{1}{\sqrt{1 - x^2}} \right)\), then \(100x\) equals
If \(x_0 = 1,\ x_1 = 2\), and \(x_{n+2} = \dfrac{1 + x_{n+1}}{x_n}\), for \(n = 0, 1, 2, 3, \ldots\), then \(x_{2021}\) is equal to
How many three-digit numbers are greater than 100 and increase by 198 when the three digits are arranged in the reverse order?
Two trains cross each other in 14 seconds when running in opposite directions along parallel tracks. The faster train is 160 m long and crosses a lamp post in 12 seconds. If the speed of the other train is 6 km/h less than the faster one, its length (in meters) is:
(1) 190
(2) 184
(3) 180
(4) 192
Suppose hospital A admitted 21 less Covid infected patients than hospital B, and all eventually recovered. The sum of recovery days for patients in hospitals A and B were 200 and 152, respectively. If the average recovery days for patients admitted in hospital A was 3 more than the average in hospital B, then the number admitted in hospital A was
Onion is sold for 5 consecutive months at the rate of Rs. 10, 20, 25, 25, and 50 per kg, respectively. A family spends a fixed amount of money on onion for each of the first three months, and then spends half that amount on onion for each of the next two months. The average expense for onion, in rupees per kg, for the family over these 5 months is closest to
If the area of a regular hexagon is equal to the area of an equilateral triangle of side 12 cm, then the length, in cm, of each side of the hexagon is
A circle of diameter 8 inches is inscribed in a triangle \(ABC\) where \(\angle ABC = 90^\circ\). If \(BC = 10\) inches then the area of the triangle in square inches is
The number of integers \(n\) that satisfy the inequalities \(|n - 60| < |n - 100| < |n - 20|\) is
The amount Neeta and Geeta together earn in a day equals what Sita alone earns in 6 days. The amount Sita and Neeta together earn in a day equals what Geeta alone earns in 2 days. The ratio of the daily earnings of the one who earns the most to that of the one who earns the least is
The number of groups of three or more distinct numbers that can be chosen from 1, 2, 3, 4, 5, 6, 7 and 8 so that the groups always include 3 and 5, while 7 and 8 are never included together is
Let \( f(x) = \dfrac{x^2 + 2x - 15}{x^2 - 7x - 18} \).
The expression \( f(x) \) is negative if and only if
The natural numbers are divided into groups as (1), (2, 3, 4), (5, 6, 7, 8, 9), ….. and so on. Then, the sum of the numbers in the 15th group is equal to
Anil invests some money at a fixed rate of interest, compounded annually. If the interests accrued during the second and third year are ₹ 806.25 and ₹ 866.72 respectively, the interest accrued, in INR, during the fourth year is nearest to:
Anu, Vinu and Manu can complete a work alone in 15 days, 12 days and 20 days, respectively. Vinu works every day. Anu works only on alternate days starting from the first day while Manu works only on alternate days starting from the second day. Then, the number of days needed to complete the work is:
CAT 2021 QA Slot 1 Paper Analysis
CAT 2021 QA slot 1 was conducted on Nov 28, 2021, from 8:30 am to 10:30 am. Due to the changes in CAT exam pattern, the number of questions were comparatively less than last year.
- Number System and Modern Maths had the least weightage.
- Arithmetic carried 11 questions worth 33 marks in CAT 2021 QA slot 1.
- From Algebra, questions were asked from topics such as linear algebra, AP, GP, and inequalities.
Go through the below-mentioned table to see the complete CAT exam analysis- distribution of questions and good attempts.
| Sections | No. Of Questions | Good Attempt |
|---|---|---|
| Number System | 2 | 1-2 |
| Algebra | 5 | 2-3 |
| Modern Mathematics | 1 | 0-1 |
| Arithmetic | 11 | 7-9 |
| Geometry and Mensuration | 3 | 1-2 |
| Total | 22 | 13-15 |
CAT Question Papers of Other Years
| CAT 2024 Question Papers | CAT 2023 Question Papers |
| CAT 2022 Question Papers | CAT 2020 Question Papers |
| CAT 2019 Question Papers | CAT 2018 Question Papers |
| CAT 2017 Question Papers | CAT 2016 Question Papers |
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