# CAT 2020 Question Paper Slot 2 | CAT Quants

###### CAT Quantitative Aptitude | CAT 2020 Question Paper

The best questions to practice for CAT Exam are the actual CAT Question Papers. 2IIM offers you exactly that, in a student friendly format to take value from this. If you would like to take the same inside a testing engine (for Free) head out here: CAT Official Question Mocks. In CAT 2020 we saw some beautiful questions that laid emphasis on Learning ideas from basics and being able to comprehend more than remembering gazillion formulae and shortcuts. Original CAT Question paper is the best place to start off your CAT prep practice. This page provides exactly that. To check out about 1000 CAT Level questions with detailed video solutions for free, go here: CAT Question Bank

1. #### CAT 2020 Question Paper Slot 2 - Races

In 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

1. 550
2. 475
3. 500
4. 450

2. #### CAT 2020 Question Paper Slot 2 - Geometry

From 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

1. 1

1. 16
2. 1
3. 4
4. 0

15. #### CAT 2020 Question Paper Slot 2 - Speed, time & distance

The distance from B to C is thrice that from A to B. Two trains travel from A to C via B. The speed of train 2 is double that of train 1 while traveling from A to B and their speeds are interchanged while traveling from B to C. The ratio of the time taken by train 1 to that taken by train 2 in travelling from A to C is

1. 7:5
2. 4:1
3. 1:4
4. 5:7

16. #### CAT 2020 Question Paper Slot 2 - Mensuration

The sum of perimeters of an equilateral triangle and a rectanmgle is 90 cm. The area, T, of the triangle and the area , R, of the rectangle, both in sq cm, satisfy the relationship R = T2. If the sides of the rectangle are in the ratio 1 : 3, then the length, in cm, of the longer side of the rectangle, is

1. 27
2. 18
3. 21
4. 24

17. #### CAT 2020 Question Paper Slot 2 - Linear & quadratic equations

The number of integers that satisfy the equality (x2 - 5x + 7)x + 1 = 1 is

1. 5
2. 4
3. 3
4. 2

18. #### CAT 2020 Question Paper Slot 2 - Linear & quadratic equations

In how many ways can a pair of integers (x , a) be chosen such that x2 − 2 | x | + | a - 2 | = 0 ?

1. 7
2. 6
3. 4
4. 5

19. #### CAT 2020 Question Paper Slot 2 - Races

Two circular tracks T1 and T2 of radii 100 m and 20 m, respectively touch at a point A. Starting from A at the same time, Ram and Rahim are walking on track T1 and track T2 at speeds 15 km/hr and 5 km/hr respectively. The number of full rounds that Ram will make before he meets Rahim again for the first time is

1. 5
2. 3
3. 4
4. 2

20. #### CAT 2020 Question Paper Slot 2 - Speed, time & distance

A and B are two points on a straight line. Ram runs from A to B while Rahim runs from B to A. After crossing each other, Ram and Rahim reach their destinations in one minutes and four minutes, respectively. If they start at the same time, then the ratio of Ram's speed to Rahim's speed is

1. 2
2. 2√2
3. √2
4. $$frac{1}{2}$ 21. #### CAT 2020 Question Paper Slot 2 - Geometry Let C1 and C2 be concentric circles such that the diameter of C1 is 2cm longer than that of C2. If a chord of C1 has length 6 cm and is a tangent to C2, then the diameter, in cm of C1 is 22. #### CAT 2020 Question Paper Slot 2 - Work & time John takes twice as much time as Jack to finish a job. Jack and Jim together take one-thirds of the time to finish the job than John takes working alone. Moreover, in order to finish the job, John takes three days more than that taken by three of them working together. In how many days will Jim finish the job working alone? 23. #### CAT 2020 Question Paper Slot 2 - Percentages In May, John bought the same amount of rice and the same amount of wheat as he had bought in April, but spent 150 more due to price increase of rice and wheat by 20% and 12%, respectively. If John had spent 450 on rice in April, then how much did he spend on wheat in May? 1. 590 2. 580 3. 560 4. 570 24. #### CAT 2020 Question Paper Slot 2 - Linear & quadratic equations Aron bought some pencils and sharpeners. Spending the same amount of money as Aron, Aditya bought twice as many pencils and 10 less sharpeners. If the cost of one sharpener is 2 more than the cost of a pencil, then the minimum possible number of pencils bought by Aron and Aditya together is 1. 33 2. 27 3. 30 4. 36 25. #### CAT 2020 Question Paper Slot 2 - Ratio & Proportions A sum of money is split among Amal, Sunil and Mita so that the ratio of the shares of Amal and Sunil is 3:2, while the ratio of the shares of Sunil and Mita is 4:5. If the difference between the largest and the smallest of these three shares is Rs 400, then Sunil’s share, in rupees, is 26. #### CAT 2020 Question Paper Slot 2 - Number Theory How many 4-digit numbers, each greater than 1000 and each having all four digits distinct, are there with 7 coming before 3? ###### 🌾 Makar Sankranti Discount! 5,000 off on CAT Online courses. Valid until 16th Jan ###### Best CAT Online Coaching Try upto 40 hours for free Learn from the best! ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2021Enroll at 49,000/- 44,000/- Online Classroom Batches Starting Now! ###### Best CAT Coaching in ChennaiPrices slashed by Rs 4000/- Attend a Demo Class ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 58/16, Indira Gandhi Street, Kaveri Rangan Nagar, Saligramam, Chennai 600 093 ##### How to reach 2IIM? Phone:$91) 44 4505 8484
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