CAT 2012 QA Slot 2 Question Paper(Available) :Download Solutions with Answer Key

CAT 2012 Question Paper was conducted for 21 days from October 11 to November 6, 2012. The question paper had 2 sections namely, Verbal Ability & Logical Reasoning and Quantitative Ability & Data Interpretation. Each section had 30 questions with a designated time slot of 70 minutes.

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 2012 QA Slot 2 Question Paper with Solution PDF

CAT 2012 QA Slot 2 Question Paper with Answer Key	Download PDF	Check Solutions

Question 1:

If the sum of two numbers is 15 and their product is 56, what is the sum of their reciprocals?

(1) \(\frac{15}{56}\)
(2) \(\frac{56}{15}\)
(3) \(\frac{7}{8}\)
(4) \(\frac{8}{7}\)

Correct Answer: (1) \(\frac{15}{56}\)
View Solution

Question 2:

A train travels 360 km at a uniform speed. If the speed is increased by 5 km/h, the journey takes 1 hour less. Find the original speed.

(1) 40 km/h
(2) 45 km/h
(3) 50 km/h
(4) 55 km/h

Correct Answer: (1) 40 km/h
View Solution

Question 3:

What is the remainder when \(7^{100}\) is divided by 8?

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

Correct Answer: (1) 1
View Solution

Question 4:

A shopkeeper sells an item at a 20% discount but still makes a 20% profit. If the cost price is Rs. 100, what is the marked price?

(1) Rs. 120
(2) Rs. 125
(3) Rs. 150
(4) Rs. 160

Correct Answer: (3) Rs. 150
View Solution

Question 5:

The roots of the quadratic equation \(x^2 - 6x + k = 0\) are real and distinct. How many integer values of \(k\) are possible if \(k\) is positive?

(1) 6
(2) 7
(3) 8
(4) 9

Correct Answer: (3) 8
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Question 6:

In how many ways can 5 identical balls be distributed into 3 distinct boxes?

(1) 15
(2) 21
(3) 25
(4) 35

Correct Answer: (2) 21
View Solution

Question 7:

A rectangle’s length is twice its breadth. If the perimeter is 60 cm, what is its area?

(1) 100 cm²
(2) 150 cm²
(3) 200 cm²
(4) 250 cm²

Correct Answer: (3) 200 cm²
View Solution

Question 8:

What is the sum of the first 20 terms of the arithmetic sequence 3, 7, 11, …?

(1) 820
(2) 840
(3) 860
(4) 880

Correct Answer: (1) 820
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:

If \(\log_2 (x) + \log_4 (x) = 5\), what is \(x\)?

(1) 8
(2) 16
(3) 32
(4) 64

Correct Answer: (2) 16
View Solution

Question 11:

A circle is inscribed in an equilateral triangle with side length 12 cm. What is the radius of the circle?

(1) \(2\sqrt{3}\) cm
(2) \(3\sqrt{3}\) cm
(3) \(4\sqrt{3}\) cm
(4) \(6\sqrt{3}\) cm

Correct Answer: (1) \(2\sqrt{3}\) cm
View Solution

Question 12:

What is the value of \(2^{100} \mod 5\)?

(1) 1
(2) 2
(3) 3
(4) 4

Correct Answer: (1) 1
View Solution

Question 13:

A and B can complete a task in 12 days, B and C in 15 days, and A and C in 20 days. How many days will A alone take?

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

Correct Answer: (2) 30 days
View Solution

Question 14:

What is the sum of the series \(1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \ldots\)?

(1) 1
(2) 2
(3) 3
(4) 4

Correct Answer: (2) 2
View Solution

Question 15:

If \(3x + 4y = 12\) and \(x - y = 1\), what is the value of \(x + y\)?

(1) 2
(2) 3
(3) 4
(4) 5

Correct Answer: (3) 4
View Solution

Question 16:

A bag contains 4 red and 5 blue balls. Two balls are drawn without replacement. What is the probability that both are red?

(1) \(\frac{2}{9}\)
(2) \(\frac{1}{6}\)
(3) \(\frac{1}{7}\)
(4) \(\frac{2}{7}\)

Correct Answer: (2) \(\frac{1}{6}\)
View Solution

Question 17:

What is the value of \(\sin 30^\circ + \cos 60^\circ\)?

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

Correct Answer: (1) 1
View Solution

Question 18:

A number when divided by 7 leaves a remainder of 4. What is the remainder when its square is divided by 7?

(1) 1
(2) 2
(3) 3
(4) 4

Correct Answer: (2) 2
View Solution

Question 19:

The HCF of two numbers is 12, and their LCM is 144. If one number is 36, what is the other?

(1) 24
(2) 48
(3) 60
(4) 72

Correct Answer: (2) 48
View Solution

Question 20:

A car travels at 60 km/h for half the distance and 80 km/h for the other half. What is the average speed for the entire journey?

(1) \(\frac{200}{3}\) km/h
(2) \(\frac{480}{7}\) km/h
(3) 70 km/h
(4) 72 km/h

Correct Answer: (2) \(\frac{480}{7}\) km/h
View Solution

Question 21:

What is the number of solutions to \(|x - 2| = |x - 4|\)?

(1) 1
(2) 2
(3) 3
(4) 4

Correct Answer: (1) 1
View Solution

Question 22:

A pipe can fill a tank in 6 hours, and another pipe can empty it in 8 hours. If both are open, how long will it take to fill the tank?

(1) 18 hours
(2) 24 hours
(3) 30 hours
(4) 36 hours

Correct Answer: (2) 24 hours
View Solution

Question 23:

The sum of the first \(n\) natural numbers is 55. What is \(n\)?

(1) 8
(2) 9
(3) 10
(4) 11

Correct Answer: (3) 10
View Solution

Question 24:

What is the area of a triangle with vertices at (0,0), (3,0), and (0,4)?

(1) 6
(2) 8
(3) 10
(4) 12

Correct Answer: (1) 6
View Solution

Question 25:

If \(x^2 + y^2 = 25\) and \(xy = 12\), what is \(x + y\)?

(1) 5
(2) 7
(3) 9
(4) 11

Correct Answer: (2) 7
View Solution

Question 26:

A man invests Rs. 5000 at 6% simple interest per annum. How much interest will he earn in 3 years?

(1) Rs. 800
(2) Rs. 900
(3) Rs. 1000
(4) Rs. 1100

Correct Answer: (2) Rs. 900
View Solution

Question 27:

What is the value of \(\sqrt{50 + \sqrt{50 + \sqrt{50 + \ldots}}}\)?

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

Correct Answer: (3) 7
View Solution

Question 28:

The ratio of ages of A and B is 3:4. After 6 years, their ages will be in the ratio 4:5. What is A’s current age?

(1) 18
(2) 24
(3) 30
(4) 36

Correct Answer: (1) 18
View Solution

Question 29:

A number is divisible by 3 and 5. What is the smallest such number greater than 100?

(1) 105
(2) 120
(3) 135
(4) 150

Correct Answer: (1) 105
View Solution

Question 30:

What is the sum of digits of \(2^{10}\)?

(1) 7
(2) 8
(3) 9
(4) 10

Correct Answer: (1) 7
View Solution

Question 31:

A boat travels 24 km upstream in 6 hours and 30 km downstream in 5 hours. What is the speed of the boat in still water?

(1) 5 km/h
(2) 6 km/h
(3) 7 km/h
(4) 8 km/h

Correct Answer: (2) 6 km/h
View Solution

Question 32:

What is the value of \(x\) if \(2^x \cdot 3^{x+1} = 3888\)?

(1) 2
(2) 4
(3) 3
(4) 5

Correct Answer: (2) 4
View Solution

Question 33:

In how many ways can 6 people be seated around a circular table?

(1) 120
(2) 360
(3) 720
(4) 1440

Correct Answer: (1) 120
View Solution

Question 34:

What is the probability that a leap year has 53 Sundays?

(1) \(\frac{1}{7}\)
(2) \(\frac{2}{7}\)
(3) \(\frac{3}{7}\)
(4) \(\frac{4}{7}\)

Correct Answer: (2) \(\frac{2}{7}\)
View Solution

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CAT Exam Latest Updates
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CAT 2012 Question Paper Analysis

CAT 2012 Verbal Ability & Logical Reasoning Question Paper Analysis

The Verbal Ability & Logical Reasoning section of CAT 2012 Question Paper was rated moderate. The questions in Verbal Ability covered every topic of English Usage.

The Reading Comprehension part of CAT 2012 Question Paper was manageable. There were 3 passages in which 1 was tough.
The verbal Ability part had a good mix of questions from various areas.
Family Trees, Propositions, Assumptions have got the highest weightage in Logical Reasoning.

Students should follow the below table for a better understanding of question distribution

Topic	Number of Questions	Difficulty Level
Reading Comprehension	10	Moderate
Sentence Correction	2	Moderate
Para Jumble	2	Moderate
Paragraph Summary	2	Moderate
Fill in the Blanks	1	Moderate
Word Usage	2	Moderate
Para jumble (Odd sentence out)	2	Moderate
Logical Puzzle	3	Moderate
Arrangements	6	Moderate

CAT 2012 Quantitative Ability and Data Interpretation Question Paper Analysis

The Quantitative Ability and Data Interpretation section of the CAT 2012 Question Paper was based on various topics and difficult calculations.

The question Paper had 21 questions from Quantitative Aptitude and 9 questions from Data Interpretation in both slots.
This section was a little bit difficult compared to the other section.
Questions from Quantitative Ability came from regular topics like Number System, Algebra, Geometry, Modern Math, and Arithmetic.
Questions from Data Interpretation were not easy, it involved some tough calculations.
The DI part of the question paper had questions in sets of 3.

Students should follow the below table for a better understanding of question distribution

Topics	Number of Questions	Difficulty Level
Line Graph	3	Difficult
Pie Chart	3	Difficult
Tables	3	Difficult
Number System	2	Moderate
Algebra	6	Moderate
Arithmetic	4	Moderate
Modern Math	3	Moderate
Geometry and Mensuration	6	Moderate

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CAT 2012 QA Slot 2 Question Paper(Available) :Download Solutions with Answer Key

CAT 2012 QA Slot 2 Question Paper with Solution PDF

CAT 2012 Question Paper Analysis

CAT 2012 Verbal Ability & Logical Reasoning Question Paper Analysis

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CAT Questions

1.
A shopkeeper sells an item at a profit of 20%. If he had bought it at 10% less and sold it for 60 more, his profit would become 60%. What is the cost price of the item?

2.
Let $f(x) = \dfrac{x}{2x-1}$ and $g(x) = \dfrac{x}{x-1}$. Then, the domain of the function \[ h(x) = f(g(x)) + g(f(x)) \] is all real numbers except:

3.
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 2012 QA Slot 2 Question Paper with Solution PDF

CAT 2012 Question Paper Analysis

CAT 2012 Verbal Ability & Logical Reasoning Question Paper Analysis

CAT 2012 Quantitative Ability and Data Interpretation Question Paper Analysis

CAT Question Papers of Other Years

Other MBA Exam Question Papers

CAT Questions

1.A shopkeeper sells an item at a profit of 20%. If he had bought it at 10% less and sold it for 60 more, his profit would become 60%. What is the cost price of the item?

2.Let $f(x) = \dfrac{x}{2x-1}$ and $g(x) = \dfrac{x}{x-1}$. Then, the domain of the function \[ h(x) = f(g(x)) + g(f(x)) \] is all real numbers except:

3.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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1.
A shopkeeper sells an item at a profit of 20%. If he had bought it at 10% less and sold it for 60 more, his profit would become 60%. What is the cost price of the item?

2.
Let $f(x) = \dfrac{x}{2x-1}$ and $g(x) = \dfrac{x}{x-1}$. Then, the domain of the function \[ h(x) = f(g(x)) + g(f(x)) \] is all real numbers except:

3.
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?