CAT 2021 Question Paper & Answers
The official CAT 2021 question papers, with the official answer key. Attempt as a real timed exam (with negative marking) or switch to practice mode for instant per-question answers and explanations.
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Official PYQ
CAT 2021 (Slot 1)
120 Mins 198 Marks
66Questions
198Max Marks
Sample questions from CAT 2021 (Slot 1)
1 is negative if and only if
- A) -5 < x < -2 or 3 < x < 9
- B) -2 < x < 3 or x > 9
- C) x < -5 or 3 < x < 9
- D) x < -5 < x < 3
Answer: A
2The number of integers n that satisfy the inequalities || < || < || is
- A) 21
- B) 18
- C) 20
- D) 19
Answer: D
3Identical 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) 127
- B) 135
- C) 124
- D) 144
Answer: A
4If (sqrt()) + 4 log10(sqrt()) = log10(), then 100x equals
Answer: 99
5A 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) 12
- B) 13
- C) 11
- D) 10
Answer: B
+61 more questions — attempt the full paper to see them all.
Official PYQ
CAT 2021 (Slot 2)
120 Mins 198 Marks
66Questions
198Max Marks
Sample questions from CAT 2021 (Slot 2)
1The number of ways of distributing 15 identical balloons, 6 identical pencils and 3 identical erasers among 3 children, such that each child gets at least four balloons and one pencil, is
Answer: 1000
2If log2[{}] - then 4x equals
Answer: 5
3Consider the pair of equations: and . If x > y, then x - y equals
- A) 8
- B) 6
- C) 7
- D) 4
Answer: A
4From a container filled with milk, 9 litres of milk are drawn and replaced with water. Next, from the same container, 9 litres are drawn and again replaced with water. If the volumes of milk and water in the container are now in the ratio of 16 : 9, then the capacity of the container, in litres, is
Answer: 45
5Two trains A and B were moving in opposite directions, their speeds being in the ratio 5 : 3. The front end of A crossed the rear end of B 46 seconds after the front ends of the trains had crossed each other. It took another 69 seconds for the rear ends of the trains to cross each other. The ratio of length of train A to that of train B is
- A) 2 : 3
- B) 2 : 1
- C) 5 : 3
- D) 3 : 2
Answer: D
+61 more questions — attempt the full paper to see them all.
Official PYQ
CAT 2021 (Slot 3)
120 Mins 198 Marks
66Questions
198Max Marks
Sample questions from CAT 2021 (Slot 3)
1If a certain weight of an alloy of silver and copper is mixed with 3 kg of pure silver, the resulting alloy will have 90% silver by weight. If the same weight of the initial alloy is mixed with 2 kg of another alloy which has 90% silver by weight, the resulting alloy will have 84% silver by weight. Then, the weight of the initial alloy, in kg, is
- A) 3
- B) 2.5
- C) 4
- D) 3.5
Answer: A
2Anil can paint a house in 12 days while Barun can paint it in 16 days. Anil, Barun, and Chandu undertake to paint the house for Rs.24000 and the three of them together complete the painting in 6 days. If Chandu is paid in proportion to the work done by him, then the amount in INR received by him is
Answer: 3000
3Mira and Amal walk along a circular track, starting from the same point at the same time. If they walk in the same direction, then in 45 minutes, Amal completes exactly 3 more rounds than Mira. If they walk in opposite directions, then they meet for the first time exactly after 3 minutes. The number of rounds Mira walks in one hour is
Answer: 8
4A four-digit number is formed by using only the digits 1, 2 and 3 such that both 2 and 3 appear at least once. The number of all such four-digit numbers is
Answer: 50
5In a triangle ABC, angle degrees. D and E are points on AB and AC, respectively, such that AD = DE. If F is a point on BC such that BD = DF, then angle FDE, in degrees, is equal to
- A) 100
- B) 80
- C) 96
- D) 72
Answer: B
+61 more questions — attempt the full paper to see them all.