CAT 2022 Slot 3 Quantitative Aptitude: Easy Explanations + Video & Short Method Solutions
- Anshu Agarwal
- Sep 16
- 7 min read
Preparing for CAT is never easy, but having the right explanations and strategies makes all the difference. In this blog, you’ll find all CAT 2022 Slot 3 Quantitative Aptitude questions, explained in the simplest way possible.
✅ Each question comes with:
Step-by-step detailed solution
Video explanation (so you can learn visually)
Short/shortcut method wherever possible
This makes it useful for CAT 2025 and CAT 2026 aspirants who want to practice with past papers and strengthen problem-solving speed.
📊 CAT 2022 Slot 3 Quantitative Aptitude – Paper Overview
Total Questions: 22 (Quant Section)
Difficulty Level: Moderate
Dominant Topics: Arithmetic (Time-Speed-Distance, Percentages, Ratios), Algebra, Geometry, Numbers
Overall, Slot 3 QA was slightly trickier than Slot 1 & 2, but still very much manageable with the right methods.
This blog is structured question-wise, so you can learn concepts, revise shortcuts, and practice with real CAT-level problems.
📊 CAT 2022 Slot 3 Quantitative Aptitude – Paper Overview
Total Questions: 22 (Quant Section)
Difficulty Level: Moderate
Dominant Topics: Arithmetic (Time-Speed-Distance, Percentages, Ratios), Algebra, Geometry, Numbers
Overall, Slot 3 QA was slightly trickier than Slot 1 & 2, but still very much manageable with the right methods.
This blog is structured question-wise, so you can learn concepts, revise shortcuts, and practice with real CAT-level problems.
📝 CAT 2022 Slot 3 Quantitative Aptitude
Question-wise Solutions
1. Bob can finish a job in 40 days, if he works alone. Alex is twice as fast as Bob and thrice as fast as Cole in the same job. Suppose Alex and Bob work together on the first day, Bob and Cole work together on the second day, Cole and Alex work together on the third day, and then, they continue the work by repeating this three-day roster, with Alex and Bob working together on the fourth day, and so on. Then, the total number of days Alex would have worked when the job gets finished, is:
Video Explanation
Short Explanation
2. A donation box can receive only cheques of ₹100, ₹250, and ₹500. On one good day, the donation box was found to contain exactly 100 cheques amounting to a total sum of ₹15250. Then, the maximum possible number of cheques of ₹500 that the donation box may have contained, is
Video Explanation
Short Explanation
3. If (3+2√2) is a root of the equation ax²+bx+c=0 and (4+2√3) is a root of the equation ay²+my+n=0, where a, b, c, m and n are integers, then the value of (b/m+ (c-2b)/n) is:
(a) 3
(b) 1
(c) 0
(d) 4
Video Explanation
Short Explanation
4. Consider six distinct natural numbers such that the average of the two smallest numbers is 14, and the average of the two largest numbers is 28. Then, the maximum possible value of the average of these six numbers is:
(a) 23
(b) 22.5
(c) 23.5
(d) 4.24
Video Explanation
Short Explanation
5. The average of all 3-digit terms in the arithmetic progression 38, 55, 72, ..., is:
Video Explanation
Short Explanation
👉 Want full Quant + DILR video course with printed material and test series?
Check here:
6.
Video Explanation
Short Explanation
7. Suppose the medians BD and CE of a triangle ABC intersect at a point O. If area of triangle ABC is 108 sq. cm., then, the area of the triangle EOD, in sq. cm., is:
Video Explanation
Short Explanation
8. In a triangle ABC, AB = AC = 8 cm. A circle drawn with BC as diameter passes through A. Another circle drawn with centre at A passes through B and C. Then the area, in sq. cm, of the overlapping region between the two circles is:
(a) 32 (π-1)
(b) 16π
(c) 16 (π-1)
(d) 32π
Video Explanation
Short Explanation
9. Two ships are approaching a port along straight routes at constant speeds. Initially, the two ships and the port formed an equilateral triangle with sides of length 24 km. When the slower ship travelled 8 km, the triangle formed by the newpositions of the two ships and the port became right-angled. When the faster ship reaches the port, the distance, in km, between the other ship and the port will be
(a) 12
(b) 4
(c) 8
(d) 6
Video Explanation
Short Explanation
10. The arithmetic mean of all the distinct numbers that can be obtained by rearranging the digits in 1421, including itself, is
(a) 3333
(b) 2442
(c) 2222
(d) 2592
Video Explanation
Short Explanation
👉 Dreaming of 99+ in CAT?
Make it real with my Complete CAT 2025 & CAT 2026 Video Courses –
Concepts + Shortcuts + Test Series + Printed Material.
11. Moody takes 30 seconds to finish riding an escalator if he walks on it at his normal speed in the same direction. He takes 20 seconds to finish riding the escalator if he walks at twice his normal speed in the same direction. If Moody decides to stand still on the escalator, then the time, in seconds, needed to finish riding the escalator is:
Video Explanation
Short Explanation
12. Suppose k is any integer such that the equation 2x²+kx+5=0 has no real roots and the equation x²+(k-5)x+1=0 has two distinct real roots for x. Then, the number of possible values of k is:
(a) 13
(b) 9
(c) 8
(d) 7
Video Explanation
Short Explanation
13. Two cars travel from different locations at constant speeds. To meet each other after starting at the same time, they take 1.5 hours if they travel towards each other, but 10.5 hours if they travel in the same direction. If the speed of the slower car is 60 km/hr, then the distance traveled, in km, by the slower car when it meets the other car while traveling towards each other, is
(a) 90
(b) 100
(c) 120
(d) 150
Video Explanation
Short Explanation
14. The minimum possible value of (x²-6x+10)/(3-x), for x<3 is:
(a) -1/2
(b) 1/2
(c) -2
(d) 2
Video Explanation
Short Explanation
15. A school has less than 5000 students and if the students are divided equally into teams of either 9 or 10 or 12 or 25 each, exactly 4 are always left out. However, if they are divided into teams of 11 each, no one is left out. The maximum number of teams of 12 each that can be formed out of the students in the school is
Video Explanation
Short Explanation
🚀 Stop wasting time on random resources.
One course, one mentor, complete CAT prep – start today!
16. Nitu has an initial capital of ₹ 20,000. Out of this, she invests ₹ 8000 at 5.5% in bank A, ₹ 5000 at 5.6% in bank B and the remaining amount at x% in bank C, each rate being simple interest per annum. Her combined annual interest income from these investments is equal to 5% of the initial capital. If she had invested her entire initial capital in bank C alone, then her annual interest income, in rupees, would have been:
(a) 700
(b) 900
(c) 1000
(d) 800
Video Explanation
Short Explanation
17. A group of N people worked on a project. They finished 35% of the project by working 7 hours a day for 10 days. Thereafter, 10 people left the group and the remaining people finished the rest of the project in 14 days by working 10hours a day, Then the value of N is:
(a) 150
(b) 36
(c) 23
(d) 140
Video Explanation
Short Explanation
18. A glass contains 500 cc of milk and a cup contains 500 cc of water. From the glass, 150 cc of milk is transferred to the cup and mixed thoroughly. Next, 150 cc of this mixture is transferred from the cup to the glass. Now, the amount of water in the glass and the amount of milk in the cup are in the ratio:
(a) 10:13
(b) 1:1
(c) 10:3
(d) 3:10
Video Explanation
Short Explanation
19. The lengths of all four sides of a quadrilateral are integer valued. If three of its sides are of length 1 cm, 2 cm and 4cm, then the total number of possible lengths of the fourth side is
(a) 5
(b) 6
(c) 3
(d) 4
Video Explanation
Short Explanation
20. In an examination, the average marks of students in sections A and B are 32 and 60, respectively. The number of students in section A is 10 less than that in section B. If the average marks of all the students across both the sections combined is an integer, then the difference between the maximum and minimum possible number of students in section A is:
Video Explanation
Short Explanation
📘 Every topper has a strategy – this can be yours.
Learn from India’s top CAT QA scorer & XAT QA topper.
21. If c= 16x/y+ 49y/x for some non – zero real numbers x and y, then c cannot take the value:
(a) - 70
(b) -50
(c) - 60
(d) 60
Video Explanation
Short Explanation
22. Let r be a real number and
Then, the equation f(x)=f(f(x)) holds for all real values of x where:
(a) x ≥r
(b) x>r
(c) x ≠r
(d) x≤r
Video Explanation
Short Explanation
🔥 Don’t just solve questions, master the art of CAT.
Join the Creators’ Level CAT Video Courses today.
⚡ Short Tricks & Takeaways
From CAT 2022 Slot 3 QA, here are some key insights & hacks:
Arithmetic dominated, so mastering ratios, averages, and percentages is a must.
Many algebra questions had short methods using factorization or direct substitution.
Geometry was calculation-heavy, but smart use of formulas reduced time.
Number system questions rewarded candidates who practiced modular arithmetic and divisibility tricks.
🚀 Common Mistakes to Avoid
Misreading conditions in inequalities and quadratic questions.
Spending too much time on calculation-heavy problems instead of skipping and coming back.
Ignoring shortcut approaches when they clearly save time.
🎯 Why Past Papers Like CAT 2022 Matter
Solving CAT 2022 Slot 3 QA questions is not just about practice – it’s about learning patterns, time management, and short methods that CAT repeats year after year.
If you’re targeting CAT 2025 or CAT 2026, this paper is a goldmine for preparation.
📌 Final Note
With easy explanations, video solutions, and shortcut methods, this blog is designed to help you crack CAT Quant the smart way.
Keep practicing, and remember – CAT Quant is not about formulas, it’s about logic + smart solving strategies.
Comments