CAT 2020 Question Paper & Answers
The official CAT 2020 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 2020 (Slot 1)
120 Mins 222 Marks
74Questions
222Max Marks
Sample questions from CAT 2020 (Slot 1)
1How many numbers are there, for which the product of their digits is more than 2 but less than 7?
Answer: 21
2If for every real x and has four distinct real roots, then the sum of the roots is
- A) 0
- B) 40
- C) 10
- D) 20
Answer: D
3Veeru invested Rs 10000 at 5% simple annual interest, and exactly after two years, Joy invested Rs 8000 at 10% simple annual interest. How many years after Veeru's investment, will their balances, i.e., principal plus accumulated interest, be equal?
Answer: 12
4A train travelled at one-thirds of its usual speed, and hence reached the destination 30 minutes after the scheduled time. On its return journey, the train initially travelled at its usual speed for 5 minutes but then stopped for 4 minutes for an emergency. The percentage by which the train must now increase its usual speed so as to reach the destination at the scheduled time, is nearest to
- A) 58
- B) 67
- C) 50
- D) 61
Answer: B
5If log4(5) = (log4(y))(log6(sqrt(5))), then y equals
Answer: 36
+69 more questions — attempt the full paper to see them all.
Official PYQ
CAT 2020 (Slot 2)
120 Mins 222 Marks
74Questions
222Max Marks
Sample questions from CAT 2020 (Slot 2)
1In a car race, car A beats car B by 45 km, car B beats car C by 50 km, and car A beats car C by 90 km. The distance (in km) over which the race has been conducted is
- A) 550
- B) 475
- C) 500
- D) 450
Answer: D
2From the interior point of an equilateral triangle, perpendiculars are drawn on all three sides. The sum of the lengths of the perpendiculars is 's'. Then the area of the triangle is
- A) / ()
- B)
- C)
- D)
Answer: C
3In a group of 10 students, the mean of the lowest 9 scores is 42 while the mean of the highest 9 scores is 47. For the entire group of 10 students, the maximum possible mean exceeds the minimum possible mean by
- A) 5
- B) 3
- C) 4
- D) 6
Answer: C
4The number of pairs of integers (x,y) satisfying x >= y >= -20 and is
Answer: 17
5The value of log_a(a/b) + log_b(b/a), for 1 < a <= b cannot be equal to
- A) -0.5
- B) 1
- C) 0
- D) -1
Answer: B
+69 more questions — attempt the full paper to see them all.
Official PYQ
CAT 2020 (Slot 3)
120 Mins 222 Marks
74Questions
222Max Marks
Sample questions from CAT 2020 (Slot 3)
1If and for every positive integer m, then x100 equals
- A) -5050
- B) -5051
- C) -5150
- D) -5151
Answer: A
2Let N, x and y be positive integers such that N = x + y, 2 < x < 10 and 14 < y < 23. If N > 25, then how many distinct values are possible for N?
Answer: 6
3Let , log_a() = -B and , then log_3(a) equals
- A)
- B)
- C)
- D)
Answer: A
4A contractor agreed to construct a 6 km road in 200 days. He employed 140 persons for the work. After 60 days, he realized that only 1.5 km road has been completed. How many additional people would he need to employ in order to finish the work exactly on time?
Answer: 40
5The area, in sq. units, enclosed by the lines , y = || + 4, the X-axis and the Y-axis is equal to
- A) 12
- B) 8
- C) 6
- D) 10
Answer: D
+69 more questions — attempt the full paper to see them all.