CAT Previous Year Questions| Functions & Graphs

CAT 2022 Slot 3 Question1-   The minimum possible value of x^2−6x+10/3−x, for x<3, is A.1/2 B.−1/2 C.2 D.−2 CAT 2022 Slot 2  Question 2-  Suppose for all integers x, there are two functions f and g  such that f(x)+f(x−1)−1=0  and g(x)=x^2. If f(x^2−x)=5, then the value of the sum f(g(5))+g(f(5)) is CAT 2022 Slot 2 Question … Read more

CAT Previous Year Questions | Progression

CAT 2022 Slot 2 Question 1-  On day one, there are 100 particles in a laboratory experiment. On day n, where n≥2, one out of every n particles produces another particle. If the total number of particles in the laboratory experiment increases to 1000 on day m, then m equals A.19 B.16 C.17 D.18 CAT … Read more

CAT Previous Year Questions| Inequalities & Modulus

CAT 2021 Slot 3 Question 1- The number of distinct pairs of integers (m, n) satisfying |1+mn| < |m+n| < 5 is CAT 2021 Slot 2 Question 2-   For all possible integers n satisfying 2.25 ≤ 2 + 2^n + 2 ≤ 202, the number of integer values of 3 + 3^n + 1 is CAT … Read more

CAT Previous Year Questions| Quadratic Equations

CAT 2022 Slot 3 Question 1-  Suppose k  is any integer such that the equation 2x^2+kx+5=0  has no real roots and the equation x^2+(k−5)x+1=0  has two distinct real roots for x . Then, the number of possible values of k  is A.7 B.8 C.9 D.13 CAT 2022 Slot 3 Question 2-   A donation box can … Read more

CAT Previous Year Questions| Number System

CAT 2020 Slot 3 Question 1-  How many of the integers 1, 2, … , 120, are divisible by none of 2, 5 and 7? A.41 B.42 C.40 D.43 CAT 2019 Slot 2 Question 2-  How many factors of 2^4 × 3^5 × 10^4 are perfect squares which are greater than 1?  CAT 2018 Slot … Read more

CAT Previous Year Questions | Ratio

CAT 2022 Slot 1 Question 1-  Pinky is standing in a queue at a ticket counter. Suppose the ratio of the number of persons standing ahead of Pinky to the number of persons standing behind her in the queue is 3 : 5. If the total number of persons in the queue is less than 300, … Read more

CAT Previous Year Questions | Time, Speed & Distance

CAT 2022 Slot 3 Question 1-  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, … Read more

CAT Previous Year Questions | Time and Work

CAT 2022 Slot 3 Question 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 … Read more

CAT Previous Year Questions | Mixture & Alligation

CAT 2022 Slot 3 Question 1- 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 … Read more

CAT Previous Year Questions | Average

CAT 2022 Slot 3 Question 1- 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, … Read more

CAT Previous Year Questions | Profit and Loss

CAT 2022 Slot 1 – Question 1-  Amal buys 110 kg of syrup and 120 kg of juice, syrup being 20% less costly than juice, per kg. He sells 10 kg of syrup at 10% profit and 20 kg of juice at 20% profit. Mixing the remaining juice and syrup, Amal sells the mixture at … Read more

CAT Previous Year Questions | Percentage

CAT 2022 QA Slot-2 Question 1-  In an election, there were four candidates and 80% of the registered voters casted their votes. One of the candidates received 30% of the casted vote while the other three candidates received the remaining casted votes in the proportion 1 : 2 : 3. If the winner of the … Read more

9 weeks to CAT Kickoff!

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CATify from May 1

Basics & Medium Week 1 Matrix Puzzles Quadratic Grammar   Week 2 Ratios ParaJumbles Proportions   Week 3 Mixtures RC Science Odd Out   Week 4 Percentages Games Quant basics Mock Week 5 Profit Loss ParaCompletion DI Traditional   Week 6 Interest MathsBased RC History   Week 7 Number Critical Reas LCMHCF   Week 8 … Read more