CAT 2020 Question Paper-November 29 Afternoon Session (Slot 2) was rated moderately difficult. CAT 2020 QA Slot 2 question paper had 9 questions from Arithmetic followed by 7 and 5 questions from Algebra and Geometry respectively. 

  • The questions in the CAT QA section were quite tricky to solve. VARC was easier than slot 1, while DILR was difficult. 

Candidates preparing for CAT 2025 can download CAT QA question paper with the answer key PDF for the Slot 2 exam conducted on November 29, 2020, to get a better idea about the type of questions asked in the paper and the difficulty level of questions.

Also Check:

CAT 2020 QA Slot 2 Question Paper with Solution PDF

CAT 2020 QA Slot 2 Question Paper With Answer Key Download PDF Check Solutions
CAT 2020 qa SLOT 2 QUESTION PAPER
 
Question 1:

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:

  • (A) 550
  • (B) 475
  • (C) 500
  • (D) 450

Question 2:

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:

  • (A) \( \frac{s^2}{2\sqrt{3}} \)
  • (B) \( \frac{s^2}{\sqrt{3}} \)
  • (C) \( \frac{s^2 \sqrt{3}}{2} \)
  • (D) \( \frac{2s^2}{\sqrt{3}} \)

Question 3:

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:

  • (A) 5
  • (B) 3
  • (C) 4
  • (D) 2

Question 4:

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


Question 5:

The value of \( \log{\left(\frac{b}{a}\right)} + \log_a{\left(\frac{a}{b}\right)} \), for \( 1 < a \le b \), cannot be equal to:

  • (A) -0.5
  • (B) 1
  • (C) 0
  • (D) -1

Question 6:

Let the \( m^{th} \) and \( n^{th} \) terms of a geometric progression be \( \frac{3}{4} \) and 12, respectively, where \( m < n \). If the common ratio \( r \) is an integer, then the smallest possible value of \( r + n - m \) is:

  • (A) -4
  • (B) -2
  • (C) 6
  • (D) 2

Question 7:

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


Question 8:

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:


Question 9:

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:

  • (A) 6.6
  • (B) 7.2
  • (C) 8.8
  • (D) 7.8

Question 10:

For real \( x \), the maximum possible value of \( \frac{x}{\sqrt{1 + x^2}} \) is:

  • (A) \( \frac{1}{\sqrt{2}} \)
  • (B) \( 1 \)
  • (C) \( \frac{1}{2} \)
  • (D) \( \sqrt{3}/2 \)

Question 11:

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:

  • (A) 60
  • (B) 50
  • (C) 55
  • (D) 54

Question 12:

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:

  • (A) 21
  • (B) 22
  • (C) 23
  • (D) 20

Question 13:

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

  • (A) 22
  • (B) 19
  • (C) 20
  • (D) 21

Question 14:

Let \( f(x) = x^2 + ax + b \) and \( g(x) = f(x+1) - f(x-1) \). If \( f(x) \geq 0 \) for all real \( x \), and \( g(20) = 72 \), then the smallest possible value of \( b \) is

  • (A) 16
  • (B) 1
  • (C) 4
  • (D) 0

Question 15:

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

  • (A) 7:5
  • (B) 4:1
  • (C) 1:4
  • (D) 5:7

Question 16:

The sum of perimeters of an equilateral triangle and a rectangle is 90 cm. The area, T, of the triangle and the area, R, of the rectangle, both in sq cm, satisfy the relationship \( R = T^2 \). 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

  • (A) 27
  • (B) 18
  • (C) 21
  • (D) 24

Question 17:

The number of integers that satisfy the equality \( (x^2 - 5x + 7)^{x+1} = 1 \) is

  • (A) 5
  • (B) 4
  • (C) 3
  • (D) 2

Question 18:

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

  • (A) 7
  • (B) 6
  • (C) 4
  • (D) 5

Question 19:

Two circular tracks \( T_1 \) and \( T_2 \) 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 \( T_1 \) and \( T_2 \) at speeds 15 km/h and 5 km/h respectively. The number of full rounds that Ram will make before he meets Rahim again for the first time is:

  • (A) 5
  • (B) 3
  • (C) 4
  • (D) 2

Question 20:

Let \( C_1 \) and \( C_2 \) be concentric circles such that the diameter of \( C_1 \) is 2 cm longer than that of \( C_2 \). If a chord of \( C_1 \) has length 6 cm and is a tangent to \( C_2 \), then the diameter, in cm, of \( C_1 \) is:

  • (A) 10
  • (B) 8
  • (C) 12
  • (D) 6

Question 21:

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 minute and four minutes, respectively. If they start at the same time, then the ratio of Ram's speed to Rahim's speed is:

  • (A) \( \sqrt{2} \)
  • (B) \( 2 \)
  • (C) \( \frac{1}{\sqrt{2}} \)
  • (D) \( \frac{1}{2} \)

Question 22:

John takes twice as much time as Jack to finish a job. Jack and Jim together take one-third 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?

  • (A) 3
  • (B) 4
  • (C) 6
  • (D) 5

Question 23:

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?

  • (A) 590
  • (B) 580
  • (C) 560
  • (D) 570

Question 24:

Aron bought some pencils and sharpeners. Spending the same amount of money as Aron, Aditya bought twice as many pencils and 10 fewer 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

  • (A) 33
  • (B) 27
  • (C) 30
  • (D) 36

Question 25:

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

  • (A) 600
  • (B) 500
  • (C) 700
  • (D) 800

Question 26:

How many 4-digit numbers, each greater than 1000 and each having all four digits distinct, are there with 7 coming before 3?

  • (A) 312
  • (B) 330
  • (C) 315
  • (D) 324


CAT 2020 November 29: Sectional Analysis

CAT 2020 was conducted on November 29, 2020. Slot 2 was held between 12:30 pm to 2:30 pm. As per CAT 2020 slot 2 analysis, the difficulty level of the exam was on the higher side as compared to CAT 2020 slot 1. The Analysis for QA section can be summarised as:

  • QA section for Slot 2 was slightly easier than slot 1.
  • More questions came from the topics of time and distance, series, and mensuration.
  • 2 questions were asked from Numbers 
  • 9 Questions were asked from Arithematics
  • 5 Questions were asked from Geometry
  • 7 Questions were asked from Algebra

CAT 2020 Slot 2 DILR section was also rated to be of moderate difficulty, while the VARC section was easier than the other two sections. Check out the links below for CAT 2020 Slot 2 DILR and VARC Question Papers and Answer Key pdf.


CAT Question Papers of Other Years

Other MBA Exam Question Papers