NinetynineCAT 2022 Slot 3 QA questions, answer key and solutions
The Quantitative Ability (QA) section of CAT 2022 Slot 3: 22 questions in 40 minutes, 8 TITA and 14 MCQ. The answer key below is CAT's official one; 22 questions link to a step-by-step solution.
| Q | Question | Topic | Type | Answer | Solution |
|---|---|---|---|---|---|
| Q1 | Suppose k is any integer such that the equation 2 x^2+k… | Equations | MCQ | C | Yes |
| Q2 | The minimum possible value of (x^2-6 x+10)/(3-x) , for x3… | Inequalities & Modulus | MCQ | C | Yes |
| Q3 | Bob can finish a job in 40 days, if he works alone. Alex is… | Time & Work | TITA | 11 | Yes |
| Q4 | A glass contains 500 cc of milk and a cup contains 500 cc of… | Ratio, Mixtures & Averages | MCQ | C | Yes |
| Q5 | In an examination, the average marks of students in sections… | Ratio, Mixtures & Averages | TITA | 63 | Yes |
| Q6 | Let r be a real number and f(x)=arraycl2 x-r & if x ≥ r r &… | Functions & Graphs | MCQ | A | Yes |
| Q7 | Suppose the medians BD and CE of a triangle ABC intersect at… | Geometry | TITA | 9 | Yes |
| Q8 | The arithmetic mean of all the distinct numbers that can be… | Ratio, Mixtures & Averages | MCQ | B | Yes |
| Q9 | Nitu has an initial capital of ₹ 20,000 . Out of this, she… | Interest | MCQ | D | Yes |
| Q10 | Two cars travel from different locations at constant speeds… | Time, Speed & Distance | MCQ | C | Yes |
| Q11 | If (√(7/5))^3 x-y=875/2401 and ((4 a)/b)^6 x-y=((2 a)/b)^y-6… | Logarithms & Exponents | TITA | 14 | Yes |
| Q12 | Moody takes 30 seconds to finish riding an escalator if he… | Time, Speed & Distance | TITA | 60 | Yes |
| Q13 | Consider six distinct natural numbers such that the average… | Ratio, Mixtures & Averages | MCQ | A | Yes |
| Q14 | If (3+2 √(2)) is a root of the equation a x^2+b x+c=0 , and… | Equations | MCQ | C | Yes |
| Q15 | If c=(16 x)/y+(49 y)/x for some non-zero real numbers x and… | Inequalities & Modulus | MCQ | C | Yes |
| Q16 | A group of N people worked on a project. They finished 35 %… | Time & Work | MCQ | B | Yes |
| Q17 | The average of all 3-digit terms in the arithmetic… | Progressions & Series | TITA | 548 | Yes |
| Q18 | In a triangle ABC, AB=AC=8 cm . A circle drawn with BC as… | Geometry | MCQ | B | Yes |
| Q19 | A school has less than 5000 students and if the students are… | Number Systems | TITA | 150 | Yes |
| Q20 | A donation box can receive only cheques of ₹100, ₹250, and… | Equations | TITA | 12 | Yes |
| Q21 | Two ships are approaching a port along straight routes at… | Time, Speed & Distance | MCQ | B | Yes |
| Q22 | The lengths of all four sides of a quadrilateral are integer… | Geometry | MCQ | C | Yes |
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