CAT 2020 Question Paper-November 29 Evening Session was rated moderate to difficult in terms of overall difficulty level. CAT 2020 QA Slot 3 question paper was easier than the rest of the 2 slots. Although there were a few tricky questions from Arithmetic, they were doable.DILR was the trickiest and the most time-consuming. Verbal Ability was of a moderate level.
Candidates preparing for CAT 2025 can download CAT QA question paper with the answer key PDF for the Slot 3 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.
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CAT 2020 QA Question Paper Slot 3 Question Paper with Solution
| CAT 2020 QA slot 3 Question Paper with Answer Key | Download PDF | Check Solutions |
If \( x_1 = -1 \) and \( x_m = x_{m+1} + (m + 1) \) for every positive integer \( m \), then \( x_{100} \) equals:
Let \( N \), \( x \), 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 \( N \)?
Let \( \log_a 30 = A \), \( \log_a \left( \frac{5}{3} \right) = B \), and \( \log_2 a = \frac{1}{3} \). Then \( \log_3 a \) equals:
A 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?
The area, in sq. units, enclosed by the lines \( x = 2 \), \( y = |x - 2| + 4 \), the X-axis, and the Y-axis is equal to:
Dick is thrice as old as Tom and Harry is twice as old as Dick. If Dick's age is 1 year less than the average age of all three, then Harry's age, in years, is:
How many of the integers 1, 2, ..., 120, are divisible by none of 2, 5, and 7?
In the final examination, Bishnu scored 52% and Asha scored 64%. The marks obtained by Bishnu are 23 less, and those by Asha are 34 more than the marks obtained by Ramesh. The marks obtained by Geeta, who scored 84%, are:
If \( f(x + y) = f(x)f(y) \) and \( f(5) = 4 \), then \( f(10) - f(-10) \) is equal to:
Evaluate \( \frac{2 \times 4 \times 8 \times 16}{(\log_2 4)^2 (\log_4 8)^3 (\log_8 16)^4} \):
View Solution
We are asked to simplify the expression: \[ \frac{2 \times 4 \times 8 \times 16}{(\log_2 4)^2 (\log_4 8)^3 (\log_8 16)^4}. \]
Step 1: Simplify the numerator
First, simplify the numerator: \[ 2 \times 4 \times 8 \times 16 = 2 \times 2^2 \times 2^3 \times 2^4 = 2^{1+2+3+4} = 2^{10}. \]
Thus, the numerator becomes \( 2^{10} \).
Step 2: Simplify the denominator
Next, simplify the denominator:
- \( \log_2 4 = \log_2 (2^2) = 2 \).
- \( \log_4 8 = \log_4 (2^3) = \frac{3}{2} \) (since \( \log_4 8 = \frac{\log_2 8}{\log_2 4} \)).
- \( \log_8 16 = \log_8 (2^4) = \frac{4}{3} \) (since \( \log_8 16 = \frac{\log_2 16}{\log_2 8} \)).
Now, substitute these values into the denominator: \[ (\log_2 4)^2 = 2^2 = 4, \quad (\log_4 8)^3 = \left( \frac{3}{2} \right)^3 = \frac{27}{8}, \quad (\log_8 16)^4 = \left( \frac{4}{3} \right)^4 = \frac{256}{81}. \]
Thus, the denominator becomes: \[ 4 \times \frac{27}{8} \times \frac{256}{81}. \]
Simplify the denominator: \[ 4 \times \frac{27}{8} \times \frac{256}{81} = \frac{4 \times 27 \times 256}{8 \times 81} = \frac{27744}{648} = 42.8. \]
Step 3: Calculate the final value
Now, the entire expression becomes: \[ \frac{2^{10}}{42.8}. \]
Now simplifying gives us: \[ \frac{1024}{42.8} = 24. \]
Thus, the correct answer is \( {24} \). Quick Tip: For logarithmic expressions, convert logarithms to simpler forms and use properties of logarithms to simplify the expression step-by-step.
If \( a, b, c \) are non-zero and \( 14a = 36b = 84c \), then \( 6b \left( \frac{1}{c} - \frac{1}{a} \right) \) equals to:
Let \( m \) and \( n \) be natural numbers such that \( n \) is even and \( 0.2 < \frac{m}{20}, \frac{n}{m}, \frac{n}{11} < 0.5 \). Then, \( m - 2n \) equals:
Let \( m \) and \( n \) be natural numbers such that \( n \) is even and \( 0.2 < \frac{m}{20}, \frac{n}{m}, \frac{n}{11} < 0.5 \). Then, \( m - 2n \) equals:
Anil, Sunil, and Ravi run along a circular path of length 3 km, starting from the same point at the same time, and going in the clockwise direction. If they run at speeds of 15 km/hr, 10 km/hr, and 8 km/hr, respectively, how much distance in km will Ravi have run when Anil and Sunil meet again for the first time at the starting point?
A man buys 35 kg of sugar and sets a marked price in order to make a 20% profit. He sells 5 kg at this price, and 15 kg at a 10% discount. Accidentally, 3 kg of sugar is wasted. He sells the remaining sugar by raising the marked price by \( p \) percent so as to make an overall profit of 15%. Then \( p \) is nearest to:
Let \( k \) be a constant. The equations \( kx + y = 3 \) and \( 4x + ky = 4 \) have a unique solution if and only if:
How many integers in the set \( \{100, 101, 102, \dots, 999\} \) have at least one digit repeated?
A batsman played \( n + 2 \) innings and got out on all occasions. His average score in these \( n + 2 \) innings was 29 runs and he scored 38 and 15 runs in the last two innings. The batsman scored less than 38 runs in each of the first \( n \) innings. In these \( n \) innings, his average score was 30 runs and the lowest score was \( x \) runs. The smallest possible value of \( x \) is:
Two alcohol solutions, A and B, are mixed in the proportion 1:3 by volume. The volume of the mixture is then doubled by adding solution A such that the resulting mixture has 72% alcohol. If solution A has 60% alcohol, then the percentage of alcohol in solution B is:
The vertices of a triangle are \( (0,0), (4,0) \), and \( (3,9) \). The area of the circle passing through these three points is:
A person invested a certain amount of money at 10% annual interest, compounded half-yearly. After one and a half years, the interest and principal together became Rs 18522. The amount, in rupees, that the person had invested is:
A and B are two railway stations 90 km apart. A train leaves A at 9:00 am, heading towards B at a speed of 40 km/hr. Another train leaves B at 10:30 am, heading towards A at a speed of 20 km/hr. The trains meet each other at:
Vimla starts for office every day at 9 am and reaches exactly on time if she drives at her usual speed of 40 km/hr. She is late by 6 minutes if she drives at 35 km/hr. One day, she covers two-thirds of her distance to office in one-third of her usual time to reach office, and then stops for 8 minutes. The speed, in km/hr, at which she should drive the remaining distance to reach office exactly on time is:
In a trapezium ABCD, \( AB \parallel DC \), \( BC \perp DC \) and \( \angle BAD = 45^\circ \). If \( DC = 5 \, cm \), \( BC = 4 \, cm \), the area of the trapezium in sq. cm is:
The points \( (2, 1) \) and \( (-3, -4) \) are opposite vertices of a parallelogram. If the other two vertices lie on the line \( x + 9y + c = 0 \), then \( c \) is:
How many pairs \( (a, b) \) of positive integers are there such that \( a \leq b \) and \( ab = 42017 \)?
CAT 2020 Question Paper Nov 29: Sectional Analysis
CAT 2020 Slot 3 was conducted between 4.30 pm to 6:30 pm. The slot was reported as moderate to difficult in terms of overall difficulty level. The brief CAT 2020 Slot 3 QA analysis is as follows:
- Arithmetic carried 50% weightage in QA just like the rest of the two slots.
- QA was the easiest section of CAT 2020 Slot 3 with only 4-5 lengthy questions.
- 9 Questions were asked from Algebra
- 4 Questions were asked from Geometry
- 4 Questions were asked from Modern Mathematics
CAT 2020 Slot 3 DILR section was the toughest section of the paper followed by the VARC section. Candidates can download CAT 2020 Slot 3 DILR and VARC Question Paper and Solutions PDFs through the links given below.
| CAT 2020 Question Paper with Answer Key PDF DILR Slot 3 | CAT 2020 Question Paper with Answer Key PDF VARC Slot 3 |
CAT Question Papers of Other Years with Solution PDF
| CAT 2024 Question Papers | CAT 2023 Question Papers |
| CAT 2022 Question Papers | CAT 2020 Question Papers |
| CAT 2019 Question Papers | CAT 2018 Question Papers |
| CAT 2017 Question Papers | CAT 2016 Question Papers |
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