CAT 2013 QA Slot 2 Question Paper(Available):Download Solution with Answer Key

CAT 2013 Question Paper had two sections- Verbal Ability & Logical Reasoning and Quantitative Ability & Data Interpretation. CAT 2013 was conducted by IIM Indore from October 16, 2013 to November 11, 2013. The question paper had 30 questions in each section and the candidates had 70 minutes for each section. An attempt of 35-40 questions was sufficient to score above 90%ile.

Candidates preparing for CAT 2025 can download the CAT QA question paper with the solution PDF for the Slot 2 exam to get a better idea about the type of questions asked in the paper and their difficulty level.

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CAT 2013 QA Slot 2 Question Paper with Solution PDF

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CAT 2013 Question Paper QA Slot 2 with Solutions

Question 1:

If \(x^2 - 7x + 12 = 0\), what is the value of \(x^3 - 4x^2 + 3x\)?

(1) 0
(2) 12
(3) 24
(4) 36

Correct Answer: (1) 0
View Solution

Question 2:

A shopkeeper sells two items at Rs. 1000 each. On one, he gains 25%, and on the other, he loses 20%. What is his overall profit or loss percentage?

(1) 2.5% loss
(2) 2.5% profit
(3) No profit, no loss
(4) 5% loss

Correct Answer: (1) 2.5% loss
View Solution

Question 3:

The sum of the first \(n\) terms of an arithmetic progression is \(2n^2 + n\). Find the 10th term.

(1) 39
(2) 40
(3) 41
(4) 42

Correct Answer: (1) 39
View Solution

Question 4:

A and B run a 1200m race. A gives B a 120m head start. A runs at 5 m/s, and B at 4 m/s. Who wins, and by how much time?

(1) A wins by 24 seconds
(2) B wins by 24 seconds
(3) A wins by 12 seconds
(4) B wins by 12 seconds

Correct Answer: (1) A wins by 30 seconds
View Solution

Question 5:

If \(\log_2 x + \log_4 x = 3\), find \(x\).

(1) 4
(2) 8
(3) 16
(4) 32

Correct Answer: (1) 4
View Solution

Question 6:

A bag has 5 red and 7 blue balls. Two balls are drawn without replacement. What is the probability both are red?

(1) \(\frac{5}{33}\)
(2) \(\frac{10}{66}\)
(3) \(\frac{5}{66}\)
(4) \(\frac{10}{33}\)

Correct Answer: (1) \(\frac{5}{33}\)
View Solution

Question 7:

Find the number of ways to arrange 6 distinct books on a shelf if 2 specific books must be adjacent.

(1) 120
(2) 240
(3) 360
(4) 480

Correct Answer: (2) 240
View Solution

Question 8:

The ratio of ages of A and B is 3:5, and their sum is 64. What will be their age ratio after 5 years?

(1) 25:45
(2) 28:44
(3) 29:45
(4) 26:48

Correct Answer: (3) 29:45
View Solution

Question 9:

In a seating arrangement, 5 people (A, B, C, D, E) sit in a row. A and B must sit together, and C cannot sit at the ends. How many arrangements are possible?

(1) 24
(2) 36
(3) 48
(4) 60

Correct Answer: (2) 36
View Solution

Question 10:

The HCF of two numbers is 12, and their LCM is 144. If one number is 48, find the other.

(1) 36
(2) 48
(3) 60
(4) 72

Correct Answer: (1) 36
View Solution

Question 11:

A train travels 360 km at a uniform speed. If the speed increases by 6 km/h, it takes 1 hour less. Find the original speed.

(1) 45 km/h
(2) 30 km/h
(3) 36 km/h
(4) 42 km/h

Correct Answer: (1) 45 km/h
View Solution

Question 12:

The sum of the squares of three consecutive integers is 194. Find the integers.

(1) 7, 8, 9
(2) 6, 7, 8
(3) 5, 6, 7
(4) 8, 9, 10

Correct Answer: (1) 7, 8, 9
View Solution

Question 13:

A pipe fills a tank in 8 hours, another empties it in 12 hours. If both are opened, how long to fill?

(1) 24 hours
(2) 18 hours
(3) 16 hours
(4) 20 hours

Correct Answer: (1) 24 hours
View Solution

Question 14:

If \(2x + 3y = 15\) and \(xy = 6\), find \(x^2 + y^2\).

(1) 37
(2) 24
(3) 27
(4) 30

Correct Answer: (1) 37
View Solution

Question 15:

A rectangle has a perimeter of 50 cm and an area of 150 cm². Find its length.

(1) 15 cm
(2) 10 cm
(3) 20 cm
(4) 25 cm

Correct Answer: (1) 15 cm
View Solution

Question 16:

A number is increased by 25% and then decreased by 25%. What is the net percentage change?

(1) 6.25% decrease
(2) 6.25% increase
(3) No change
(4) 3.125% decrease

Correct Answer: (1) 6.25% decrease
View Solution

Question 17:

A can complete a task in 15 days, B in 20 days. Together, how many days?

(1) 8.57 days
(2) 9 days
(3) 10 days
(4) 12 days

Correct Answer: (1) 8.57 days
View Solution

Question 18:

Find the number of positive divisors of 720.

(1) 24
(2) 30
(3) 36
(4) 40

Correct Answer: (2) 30
View Solution

Question 19:

Rs. 6000 is invested at 7% simple interest per annum for 4 years. Find the total amount.

(1) 7120
(2) 7200
(3) 7680
(4) 7800

Correct Answer: (1) 7120
View Solution

Question 20:

The 4th term of a geometric progression is 8, and the 7th term is 64. Find the 10th term.

(1) 256
(2) 512
(3) 1024
(4) 2048

Correct Answer: (2) 512
View Solution

Question 21:

The average of 5 numbers is 20. If a number 10 is removed, what is the new average?

(1) 22.5
(2) 23.75
(3) 25
(4) 26.25

Correct Answer: (1) 22.5
View Solution

Question 22:

A mixture has milk and water in the ratio 4:1. If 5 liters of water is added, the ratio becomes 2:1. Find the original milk quantity.

(1) 10 liters
(2) 20 liters
(3) 30 liters
(4) 40 liters

Correct Answer: (2) 20 liters
View Solution

Question 23:

Find the distance between points (2, 3) and (5, 7).

(1) 4
(2) 5
(3) 6
(4) 7

Correct Answer: (2) 5
View Solution

Question 24:

In how many ways can 5 distinct letters be arranged in a circle?

(1) 24
(2) 48
(3) 120
(4) 60

Correct Answer: (1) 24
View Solution

Question 25:

A die is rolled twice. What is the probability of getting a sum of 9?

(1) \(\frac{1}{9}\)
(2) \(\frac{1}{12}\)
(3) \(\frac{1}{6}\)
(4) \(\frac{2}{9}\)

Correct Answer: (1) \(\frac{1}{9}\)
View Solution

Question 26:

Solve for \(x\): \(3x - 5 = 7 - 2x\).

(1) 2.4
(2) 3
(3) 3.5
(4) 4

Correct Answer: (1) 2.4
View Solution

Question 27:

A price is increased by 15% to Rs. 230. What was the original price?

(1) 200
(2) 210
(3) 220
(4) 230

Correct Answer: (1) 200
View Solution

Question 28:

The area of a circle is 154 cm². Find its radius.

(1) 5 cm
(2) 6 cm
(3) 7 cm
(4) 8 cm

Correct Answer: (3) 7 cm
View Solution

Question 29:

A car travels 240 km in 4 hours. What is its speed?

(1) 50 km/h
(2) 60 km/h
(3) 70 km/h
(4) 80 km/h

Correct Answer: (2) 60 km/h
View Solution

Question 30:

In how many ways can a committee of 3 be chosen from 6 people?

(1) 15
(2) 20
(3) 30
(4) 60

Correct Answer: (2) 20
View Solution

Question 31:

Find the roots of \(x^2 - 8x + 15 = 0\).

(1) 3, 5
(2) 2, 6
(3) 1, 7
(4) 4, 4

Correct Answer: (1) 3, 5
View Solution

Question 32:

An item is sold for Rs. 1200 at a 20% profit. Find the cost price.

(1) 900
(2) 960
(3) 1000
(4) 1100

Correct Answer: (3) 1000
View Solution

Question 33:

A and B can do a job in 6 days. A alone takes 10 days. How long does B take?

(1) 12 days
(2) 15 days
(3) 18 days
(4) 20 days

Correct Answer: (2) 15 days
View Solution

Question 34:

The sum of an infinite geometric series is 12, and the first term is 8. Find the common ratio.

(1) \(\frac{1}{3}\)
(2) \(\frac{2}{3}\)
(3) \(\frac{1}{2}\)
(4) \(\frac{3}{4}\)

Correct Answer: (1) \(\frac{1}{3}\)
View Solution

CAT 2013 Question Paper Analysis

In CAT 2013, the candidates were awarded 7.5 marks for each correct answer and 2.5 marks were deducted for each wrong answer.

CAT 2013 Verbal Ability and Logical Reasoning Paper Analysis

CAT 2013 Question Paper had 30 questions from the Verbal Ability and Logical Reasoning Section.

This section of CAT 2013 Question Paper had 3 passages.
The candidates were asked for sentence correction, para-jumble, para completion, fill in the blanks, word usage.
The question paper had questions of Data Arrangement, Seating Arrangement, and logic-based.

CAT 2013 Quantitative Ability & Data Interpretation Paper Analysis

CAT 2013 Question Paper had 30 questions from the Quantitative Ability and Data Interpretation section.

CAT 2013 question paper had questions from Number System, Arithmetic, Algebra, Geometry, Mensuration.
The candidates had questions from Graphs, Pie charts, Table.

Candidates can find the marks distribution in CAT 2014 Question Paper from the below table:

Topics	Number of Questions	Difficulty Level
Reading Comprehension	10 (4+3+3)	Moderate
Verbal Ability	11-14	Moderate
Logical Reasoning	6-9	Moderate
Data interpretation	6-10	Moderate-Difficult
Quantitative Ability	20-24	Moderate

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CAT 2013 QA Slot 2 Question Paper(Available):Download Solution with Answer Key

CAT 2013 QA Slot 2 Question Paper with Solution PDF

CAT 2013 Question Paper Analysis

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CAT Questions

1.
There are 4 people M, S, P, R.
P gets 20% of the total.
M gets 40% of the remaining amount.
S gets 20% less than M.
R gets the remaining amount.
Find the ratio P : R.

4.
If $m$ and $n$ are integers such that $(m+2n)(2m+n)=27$, then the maximum possible value of $2m-3n$ is:

6.
In the set of consecutive odd numbers $\{1, 3, 5, \ldots, 57\}$, there is a number $k$ such that the sum of all the elements less than $k$ is equal to the sum of all the elements greater than $k$. Then, $k$ equals?

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CAT 2013 QA Slot 2 Question Paper with Solution PDF

CAT 2013 Question Paper Analysis

CAT Question Papers of Other Years

Other MBA Exam Question Papers

CAT Questions

1.There are 4 people M, S, P, R. P gets 20% of the total. M gets 40% of the remaining amount. S gets 20% less than M. R gets the remaining amount. Find the ratio P : R.

4.If $m$ and $n$ are integers such that $(m+2n)(2m+n)=27$, then the maximum possible value of $2m-3n$ is:

6.In the set of consecutive odd numbers $\{1, 3, 5, \ldots, 57\}$, there is a number $k$ such that the sum of all the elements less than $k$ is equal to the sum of all the elements greater than $k$. Then, $k$ equals?

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SUBSCRIBE TO OUR NEWS LETTER

1.
There are 4 people M, S, P, R.
P gets 20% of the total.
M gets 40% of the remaining amount.
S gets 20% less than M.
R gets the remaining amount.
Find the ratio P : R.

4.
If $m$ and $n$ are integers such that $(m+2n)(2m+n)=27$, then the maximum possible value of $2m-3n$ is:

6.
In the set of consecutive odd numbers $\{1, 3, 5, \ldots, 57\}$, there is a number $k$ such that the sum of all the elements less than $k$ is equal to the sum of all the elements greater than $k$. Then, $k$ equals?