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Home›PYQs›CAT 2021›Slot 1 QA
CAT 2021QASlot 1 · Morning

CAT 2021 Slot 1 QA Question Paper with Solutions

40 Minutes22 QuestionsNov 28, 20213 marks correct · −1 wrong
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Q1CAT 2021 Slot 1 QA
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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
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Q2CAT 2021 Slot 1 QA
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f(x)=x2+2x−15x2−7x−18f(x) = \dfrac{x^2 + 2x - 15}{x^2 - 7x - 18}f(x)=x2−7x−18x2+2x−15​ is negative if and only if
Q3CAT 2021 Slot 1 QA
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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/hr less than the faster one, its length, in m, is
Q4CAT 2021 Slot 1 QA
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Anu, Vinu and Manu can complete a work alone in 15 days, 12 days and 20 days, respectively. Vinu works everyday. 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
Q5CAT 2021 Slot 1 QA
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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
Q6CAT 2021 Slot 1 QA
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A circle of diameter 8 inches is inscribed in a triangle ABC where ∠ABC=90∘\angle ABC = 90^\circ∠ABC=90∘. If BC=10BC = 10BC=10 inches then the area of the triangle in square inches is
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Q7CAT 2021 Slot 1 QA
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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
Q8CAT 2021 Slot 1 QA
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Amal purchases some pens at ₹ 8 each. To sell these, he hires an employee at a fixed wage. He sells 100 of these pens at ₹ 12 each. If the remaining pens are sold at ₹ 11 each, then he makes a net profit of ₹ 300, while he makes a net loss of ₹ 300 if the remaining pens are sold at ₹ 9 each. The wage of the employee, in INR, is
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Q9CAT 2021 Slot 1 QA
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Amar, Akbar and Anthony are working on a project. Working together Amar and Akbar can complete the project in 1 year, Akbar and Anthony can complete in 16 months, Anthony and Amar can complete in 2 years. If the person who is neither the fastest nor the slowest works alone, the time in months he will take to complete the project is
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Q10CAT 2021 Slot 1 QA
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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
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Q11CAT 2021 Slot 1 QA
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If x0=1,x1=2, and xn+2=1+xn+1xn, n=0,1,2,3,…x_0 = 1, x_1 = 2,\ \text{and}\ x_{n+2} = \dfrac{1 + x_{n+1}}{x_n},\ n = 0,1,2,3,\ldotsx0​=1,x1​=2, and xn+2​=xn​1+xn+1​​, n=0,1,2,3,…, then x2021x_{2021}x2021​ is equal to
Q12CAT 2021 Slot 1 QA
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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
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Q13CAT 2021 Slot 1 QA
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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
Q14CAT 2021 Slot 1 QA
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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
Q15CAT 2021 Slot 1 QA
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If rrr is a constant such that ∣x2−4x−13∣=r|x^2 - 4x - 13| = r∣x2−4x−13∣=r has exactly three distinct real roots, then the value of rrr is
Q16CAT 2021 Slot 1 QA
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The number of integers nnn that satisfy the inequalities ∣n−60∣<∣n−100∣<∣n−20∣|n - 60| < |n - 100| < |n - 20|∣n−60∣<∣n−100∣<∣n−20∣ is
Q17CAT 2021 Slot 1 QA
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How many three-digit numbers are greater than 100 and increase by 198 when the three digits are arranged in the reverse order?
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Q18CAT 2021 Slot 1 QA
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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
Q19CAT 2021 Slot 1 QA
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If 5−log⁡101+x+4log⁡101−x=log⁡1011−x25 - \log_{10} \sqrt{1 + x} + 4 \log_{10} \sqrt{1 - x} = \log_{10} \dfrac{1}{\sqrt{1 - x^2}}5−log10​1+x​+4log10​1−x​=log10​1−x2​1​, then 100x100x100x equals
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Q20CAT 2021 Slot 1 QA
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Suppose the length of each side of a regular hexagon ABCDEF is 2 cm. If TTT is the mid point of CDCDCD, then the length of ATATAT, in cm, is
Q21CAT 2021 Slot 1 QA
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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
Q22CAT 2021 Slot 1 QA
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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

About CAT 2021 Slot 1 QA

The QA section of CAT 2021 Slot 1 was conducted on November 30, 2021, the last Sunday of November — consistent with IIM's scheduling across all recent years. The section contains 24 questions to be answered in 40 minutes, carrying 72 marks in total. There is no sectional time limit within the overall exam, but students choosing to switch sections mid-paper lose the ability to return — making pacing within QA critical.

Passage Topics in CAT 2021 Slot 1 QA

CAT 2021 Slot 1 QA featured four reading comprehension passages and a standalone Verbal Ability block. The RC passages spanned complexity theory and global systems, the aesthetics of electronic music, the economics of income inequality, and the legal history of criminal responsibility — a typical CAT spread across the sciences, humanities, and social sciences. The VA section included Para Jumbles, Para Summary, and Odd Sentence Out questions, consistent with the pattern since CAT 2019.

CAT 2021 QA Marking Scheme

  • Correct answer (MCQ): +3 marks
  • Wrong answer (MCQ): −1 mark
  • Unattempted (MCQ): 0 marks
  • TITA questions (if any): +3 correct, no negative marking

How to Use This Question Paper

Click any answer option to immediately check your answer. The correct option is highlighted in green; if you selected the wrong option, it is shown in red and the correct answer is revealed. A detailed explanation appears below each question after you answer it, along with statistics showing what percentage of students answered correctly in the actual exam.

The question navigator at the top of the page updates in real time — green bubbles indicate correct answers and red indicate wrong. Use this to spot weak areas at a glance. To practice under timed conditions, use the Take Full Mock button to attempt the complete CAT 2021 Slot 1 paper with a live timer and percentile benchmarking.

Tips for CAT QA Preparation

Reading Comprehension accounts for roughly two-thirds of the QA section. The passages in CAT are dense and argumentative — they reward close reading of the author's position rather than skimming for facts. Practising on past papers is the most reliable way to calibrate your reading speed, improve inference accuracy, and recognise the types of questions IIM setters favour. Use the answer statistics on this page to benchmark yourself; questions where more than 50% of test-takers answered correctly are ones you should aim to get right every time.

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