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CAT 2021 Quant Slot 1: Easy Question-wise Video & Short Explanations You Can Master in One Read

Preparing for CAT means not just practicing questions but also learning the smartest way to solve them. Here you’ll find CAT 2021 Slot-1 Quantitative Aptitude questions with:

✅ Easy explanations (step-by-step)

✅ Video solutions (clear walkthroughs by me)

✅ Short tricks & quick methods (where available)


CAT 2021 Quant Slot 1
CAT 2021 Quant Slot 1

This blog is specially designed for CAT 2025 and CAT 2026 aspirants who want to learn from previous year’s real CAT questions.


📝 CAT 2021 Quant Slot 1 – Question-wise Solutions


1. Onion is sold for 5 consecutive months at the rate of ₹ 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

(a) 18

(b) 26

(c) 16

(d) 20


2. 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


3. 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

(a) 135

(b) 127

(c) 124

(d) 144


4. 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

(a) 929.48

(b) 934.65

(c) 926.84

(d) 931.72


5. 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

(a) 13

(b) 12

(c) 11

(d) 10

👉 Want complete prep? Get my CAT 2025 & CAT 2026 Video Courses with Maths, DI LR, Printed Material & Test Series.


6. 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

(a) 8

(b) 6

(c) 5

(d) 7


7. 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

(a) 7:3

(b) 11:3

(c) 3:2

(d) 11:7


8. 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:


9. 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


10. 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

(a) 180

(b) 192

(c) 184

(d) 190

👉 Want complete prep? Get my CAT 2025 & CAT 2026 Video Courses with Maths, DI LR, Printed Material & Test Series.


11. A circle of diameter 8 inches is inscribed in a triangle ABC, where ∠ABC = 90°. If BC = 10 inches then the area of the triangle in square inches is:


12. 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


13. 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

(a) 4941

(b) 6090

(c) 6119

(d) 7471


14. If r is a constant such that |x² − 4x − 13| = r has exactly three distinct real roots, then the value of r is:

(a) 21

(b) 17

(c) 18

(d) 15


15. The area of a regular hexagon is equal to the area of equilateral triangle of side 12 cm, then the length, in cm, of each side of hexagon is:

(a) 2√6

(b) 6√6

(c) 4√6

(d) √6

👉 Want complete prep? Get my CAT 2025 & CAT 2026 Video Courses with Maths, DI LR, Printed Material & Test Series.


16. How many three-digit numbers are greater than 100 and increase by 198 when the three digits are arranged in the reverse order?


17. 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:

(a) √14

(b) √13

(c) √15

(d) √12


18. 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


19. If x₀ = 1, x₁ = 2, and xₙ₊₂ = (1 + xₙ₊₁) / xₙ , n = 0, 1, 2, 3, …, then x₂₀₂₁ is equal to:

(a) 1

(b) 3

(c) 4

(d) 2

20. f(x) = (x² + 2x − 15) / (x² − 7x − 18) is negative if and only if

(a) −2 < x < 3 or x > 9

(b) x < −5 or −2 < x < 3

(c) x < −5 or 3 < x < 9

(d) −5 < x < −2 or 3 < x < 9

👉 Want complete prep? Get my CAT 2025 & CAT 2026 Video Courses with Maths, DI LR, Printed Material & Test Series.


21. The number of integers n that satisfy the inequalities |n − 60| < |n − 100| < |n − 20| is:

(a) 20

(b) 18

(c) 19

(d) 21


22. If 5 − log₁₀√(1 + x) + 4 log₁₀√(1 − x) = log₁₀(1 / √(1 − x²)) then 100x equals


👉 Want complete prep? Get my CAT 2025 & CAT 2026 Video Courses with Maths, DI LR, Printed Material & Test Series.


Why Practice from CAT 2021 Quant Slot 1?

  • Real exam level practice: Exact difficulty faced by toppers.

  • Concept clarity: Repeated patterns + formulas tested.

  • Speed training: Shortcuts + videos help you revise faster.

  • Confidence boost: Solving PYQs = higher accuracy.


Final Words

Every question solved here is an opportunity to learn smarter methods for CAT. Don’t just stop at watching the videos — practice them on paper, and use the short explanations for revision.


📌 For complete guidance:


👨‍🏫 About Me – Anshu Agarwal

I am Anshu Agarwal, a passionate educator with more than 13 years of experience in preparing students for India’s toughest entrance exams like CAT, XAT, IPMAT, CMAT, JIPMAT, and other BBA/MBA entrances.

✅ 99.97 percentile in CAT Quantitative Aptitude

✅ Topper in XAT Quantitative Aptitude

✅ Mentor of 50+ IPMAT Indore, IPMAT Rohtak & JIPMAT selections (including AIR 5 in IPMAT Indore)

✅ Guided students to 99+ percentiles in CAT, XAT, CMAT, SNAP

✅ Invited by Dainik Bhaskar for a seminar on entrance exam strategies

Through my video courses, blogs, and YouTube channel, I aim to simplify complex concepts and help aspirants build speed, accuracy, and confidence.


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