CAT 2020 Question Paper Slot 2 | CAT Quants

If you are looking forward to ace the upcoming CAT exam, one thing that goes without saying is practicing CAT previous year paper is handsdown the most important thing for your online CAT Preparation. Previous year paper gives you a glimpse of the difficulty level and pattern of the CAT Question Paper so that you do not get caught off guard. Here are all the Quantitative Ability questions from the CAT 2020 Question Paper to help you conquer the most important part of your preparation. Dont wait! Dive right it and start solving Quants from Actual CAT Question paper 2020 Slot 2.

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

   Correct Answer Video Solution Explanation

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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. \\frac{s^{2}}{2√3})
   2. \\frac{2s^{2}}{√3})
   3. \\frac{s^{2}}{√3})
   4. \\frac{√3s^{2}}{2})

   Correct Answer Video Solution Explanation

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3. CAT 2020 Question Paper Slot 2 - Averages

   In 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

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

   Correct Answer Video Solution Explanation

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

   The number of pairs of integers(x,y) satisfying x ≥ y ≥ -20 and 2x + 5y = 99 is

   Correct Answer: 17

   Correct Answer Video Solution Explanation

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5. CAT 2020 Question Paper Slot 2 - Logarithms

   The value of log_a\\frac{a}{b}) + log_b\\frac{b}{a}), for 1 < a ≤ b cannot be equal to

   1. -0.5
   2. 1
   3. 0
   4. -1

   Correct Answer Video Solution Explanation

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6. CAT 2020 Question Paper Slot 2 - Sequence & series

   Let teh m-th and n-thterms of a Geometric progression be \\frac{3}{4}) and 12, respectively, when m < n. If the common ratio of the progression is an integer r, then the smallest possible value of r + n - m is

   1. -4
   2. -2
   3. 6
   4. 2

   Correct Answer Video Solution Explanation

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7. CAT 2020 Question Paper Slot 2 - Digits

   If x and y are positive real numbers satisfying x + y = 102, then the minimum possible value of 2601(1 + \\frac{1}{x}))(1 + \\frac{1}{y})) is

   Correct Answer: 2704

   Correct Answer Video Solution Explanation

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8. CAT 2020 Question Paper Slot 2 - Simple interest & Compound interest

   For the same principal amount, the compound interest for two years at 5% per annum exceeds the simple interest for three years at 3% per annum by Rs 1125. Then the principal amount in rupees is

   Correct Answer: 90000

   Correct Answer Video Solution Explanation

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9. CAT 2020 Question Paper Slot 2 - Geometry

   Let C be a circle of radius 5 meters having center at O. Let PQ be a chord of C that passes through points A and B where A is located 4 meters north of O and B is located 3 meters east of O. Then, the length of PQ, in meters, is nearest to

   1. 6.6
   2. 7.2
   3. 8.8
   4. 7.8

   Correct Answer Video Solution Explanation

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10. CAT 2020 Question Paper Slot 2 - Polynomials

    For real x, the maximum possible value of \\frac{x}{√(1 + x^{4})}) is

    1. 1
    2. \\frac{1}{2})
    3. \\frac{1}{√2})
    4. \\frac{1}{√3})

    Correct Answer Video Solution Explanation

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11. CAT 2020 Question Paper Slot 2 - Profit & Loss

    Anil buys 12 toys and labels each with the same selling price. He sells 8 toys initially at 20% discount on the labeled price. Then he sells the remaining 4 toys at an additional 25% discount on the discounted price. Thus, he gets a total of Rs 2112, and makes a 10% profit. With no discounts, his percentage of profit would have been

    1. 60
    2. 50
    3. 55
    4. 54

    Correct Answer Video Solution Explanation

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12. CAT 2020 Question Paper Slot 2 - Inequalities

    If x and y are non-negative integers such that x + 9 = z, y + 1 = z and x + y < z + 5, then the maximum possible value of 2x + y equals

    Correct Answer: 23

    Correct Answer Video Solution Explanation

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13. CAT 2020 Question Paper Slot 2 - Set Theory

    Students in a college have to choose at least two subjects from chemistry, mathematics and physics. The number of students choosing all three subjects is 18, choosing mathematics as one of their subjects is 23 and choosing physics as one of their subjects is 25. The smallest possible number of students who could choose chemistry as one of their subjects is

    1. 22
    2. 19
    3. 20
    4. 21

    Correct Answer Video Solution Explanation

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14. CAT 2020 Question Paper Slot 2 - Functions

    Let f(x) = x² + ax + b and g(x) = f(x + 1) - f(x - 1). If f(x) ≥ 0 for all real x, and g(20) = 72, then the smallest possible value of b is

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

    Correct Answer Video Solution Explanation

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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

    Correct Answer Video Solution Explanation

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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

    Correct Answer Video Solution Explanation

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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

    Correct Answer Video Solution Explanation

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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

    Correct Answer Video Solution Explanation

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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

    Correct Answer Video Solution Explanation

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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})

    Correct Answer Video Solution Explanation

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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

    Correct Answer: 10

    Correct Answer Video Solution Explanation

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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?

    Correct Answer: 4

    Correct Answer Video Solution Explanation

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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

    Correct Answer Video Solution Explanation

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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

    Correct Answer Video Solution Explanation

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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

    Correct Answer: 800

    Correct Answer Video Solution Explanation

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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?

    Correct Answer: 315

    Correct Answer Video Solution Explanation

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