CAT 2014 QA Slot 2 Question Paper(Available):Download Solutions with Answer Key

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Chanpreet Kaur

Content Writer | MBA Professional | Updated on - Jul 31, 2025

CAT 2014 QA  Question Paper was rated easy to moderate. The question paper had two sections - Verbal Ability & Logical Reasoning and Quantitative Ability and Data Interpretation. CAT 2014 Question Paper had 100 questions divided equally between these two sections. 

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 2014 QA Slot 2 Question Paper with Solution PDF

CAT 2014 QA Slot 2 Question Paper with Answer Key Download PDF Check Solutions

CAT 2014 QA Slot 2 Question Paper With Solutions

Question 1:

If \(x + y = 10\) and \(xy = 21\), what is the value of \(x^2 + y^2\)?

  • (1) 58
  • (2) 60
  • (3) 62
  • (4) 64
Correct Answer: (1) 58
View Solution

Question 2:

A shopkeeper sells two types of items, A and B, at a profit of 20% and 30%, respectively. If the cost price of A is Rs. 100 and B is Rs. 200, and he sells 3 items of A and 2 items of B, what is the total profit?

  • (1) Rs. 110
  • (2) Rs. 120
  • (3) Rs. 130
  • (4) Rs. 140
Correct Answer: (4) Rs. 140
View Solution

Question 3:

The sum of the first \(n\) terms of an arithmetic progression is \(3n^2 + 2n\). What is the 10th term?

  • (1) 59
  • (2) 60
  • (3) 61
  • (4) 62
Correct Answer: (3) 61
View Solution

Question 4:

If \(2x + 3y = 15\) and \(x - y = 1\), what is the value of \(x + y\)?

  • (1) 4
  • (2) 5
  • (3) 6
  • (4) 7
Correct Answer: (3) 6
View Solution

Question 5:

A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less. What is the speed of the train?

  • (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 6:

What is the value of \(\log_2 8 + \log_3 9\)?

  • (1) 5
  • (2) 6
  • (3) 7
  • (4) 8
Correct Answer: (2) 6
View Solution

Question 7:

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 to complete the task?

  • (1) 24 days
  • (2) 30 days
  • (3) 36 days
  • (4) 40 days
Correct Answer: (2) 30 days
View Solution

Question 8:

The area of a rectangle is 48 cm\(^2\), and its perimeter is 28 cm. What is the length of the rectangle?

  • (1) 6 cm
  • (2) 8 cm
  • (3) 10 cm
  • (4) 12 cm
Correct Answer: (2) 8 cm
View Solution

Question 9:

If the roots of the equation \(x^2 - 6x + k = 0\) are real and their product is 8, what is the value of \(k\)?

  • (1) 6
  • (2) 7
  • (3) 8
  • (4) 9
Correct Answer: (3) 8
View Solution

Question 10:

A sum of money doubles in 5 years at simple interest. In how many years will it become 4 times?

  • (1) 10 years
  • (2) 12 years
  • (3) 15 years
  • (4) 20 years
Correct Answer: (3) 15 years
View Solution

Question 11:

The ratio of the ages of A and B is 3:4. Five years hence, the ratio will be 4:5. What is the present age of A?

  • (1) 15 years
  • (2) 20 years
  • (3) 25 years
  • (4) 30 years
Correct Answer: (1) 15 years
View Solution

Question 12:

A bag contains 3 red and 5 black balls. Two balls are drawn at random. What is the probability that both are red?

  • (1) \(\frac{3}{28}\)
  • (2) \(\frac{3}{56}\)
  • (3) \(\frac{1}{14}\)
  • (4) \(\frac{1}{28}\)
Correct Answer: (1) \(\frac{3}{28}\)
View Solution

Question 13:

If \(f(x) = x^2 + 2x + 1\), what is \(f(3)\)?

  • (1) 10
  • (2) 12
  • (3) 14
  • (4) 16
Correct Answer: (4) 16
View Solution

Question 14:

The cost price of an article is Rs. 400. If it is sold at a profit of 25%, what is the selling price?

  • (1) Rs. 450
  • (2) Rs. 475
  • (3) Rs. 500
  • (4) Rs. 525
Correct Answer: (3) Rs. 500
View Solution

Question 15:

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

  • (1) 512
  • (2) 1024
  • (3) 2048
  • (4) 4096
Correct Answer: (2) 1024
View Solution

Question 16:

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

  • (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 17:

If \(a^2 + b^2 = 25\) and \(ab = 12\), what is \((a + b)^2\)?

  • (1) 37
  • (2) 49
  • (3) 61
  • (4) 73
Correct Answer: (2) 49
View Solution

Question 18:

A sum of Rs. 2000 is invested at 10% per annum compound interest. What is the amount after 2 years?

  • (1) Rs. 2400
  • (2) Rs. 2420
  • (3) Rs. 2440
  • (4) Rs. 2460
Correct Answer: (2) Rs. 2420
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 number?

  • (1) 24
  • (2) 48
  • (3) 72
  • (4) 96
Correct Answer: (2) 48
View Solution

Question 20:

If \(3x = 4y = 12z\), what is the ratio \(x:y:z\)?

  • (1) 4:3:1
  • (2) 3:4:1
  • (3) 4:3:2
  • (4) 3:4:2
Correct Answer: (1) 4:3:1
View Solution

Question 21:

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

  • (1) 12 hours
  • (2) 24 hours
  • (3) 36 hours
  • (4) 48 hours
Correct Answer: (2) 24 hours
View Solution

Question 22:

The sum of three numbers is 98. If the ratio of the first to the second is 2:3 and the second to the third is 5:8, what is the second number?

  • (1) 30
  • (2) 35
  • (3) 40
  • (4) 45
Correct Answer: (1) 30
View Solution

Question 23:

If \(\sin \theta + \cos \theta = \sqrt{2}\), what is \(\sin \theta \cos \theta\)?

  • (1) \(\frac{1}{4}\)
  • (2) \(\frac{1}{2}\)
  • (3) \(\frac{\sqrt{2}}{2}\)
  • (4) \(1\)
Correct Answer: (1) \(\frac{1}{4}\)
View Solution

Question 24:

A man sells an article at a loss of 10%. If he had sold it for Rs. 50 more, he would have gained 5%. What is the cost price?

  • (1) Rs. 300
  • (2) Rs. 333.33
  • (3) Rs. 350
  • (4) Rs. 400
Correct Answer: (2) Rs. 333.33
View Solution

Question 25:

The sum of the squares of three consecutive integers is 110. What is the smallest integer?

  • (1) 5
  • (2) 6
  • (3) 7
  • (4) 8
Correct Answer: (1) 5
View Solution

Question 26:

A boat covers 24 km upstream and 36 km downstream in 6 hours, while it covers 36 km upstream and 24 km downstream in 6.5 hours. What is the speed of the boat in still water?

  • (1) 10 km/h
  • (2) 12 km/h
  • (3) 15 km/h
  • (4) 18 km/h
Correct Answer: (2) 12 km/h
View Solution

Question 27:

The sum of a two-digit number and the number obtained by reversing its digits is 99. If the digits differ by 3, what is the number?

  • (1) 36
  • (2) 63
  • (3) 54
  • (4) 45
Correct Answer: (1) 36
View Solution

Question 28:

If \(x^2 - 4x + 3 = 0\), what is the value of \(x^2 + \frac{1}{x^2}\)?

  • (1) 14
  • (2) 16
  • (3) 18
  • (4) 20
Correct Answer: (1) 14
View Solution

Question 29:

A man buys 10 kg of rice at Rs. 30 per kg and 15 kg of wheat at Rs. 20 per kg. He sells the mixture at Rs. 28 per kg. What is his profit or loss percentage?

  • (1) 4% profit
  • (2) 4% loss
  • (3) 5% profit
  • (4) 5% loss
Correct Answer: (1) 4% profit
View Solution

Question 30:

If the area of a circle is \(154\) cm\(^2\), what is its circumference?

  • (1) 22 cm
  • (2) 44 cm
  • (3) 66 cm
  • (4) 88 cm
Correct Answer: (2) 44 cm
View Solution

Question 31:

A man can row 6 km/h in still water. If the river flows at 2 km/h, how long will it take him to row 16 km upstream?

  • (1) 2 hours
  • (2) 3 hours
  • (3) 4 hours
  • (4) 5 hours
Correct Answer: (3) 4 hours
View Solution

Question 32:

The sum of the first 10 terms of a geometric progression is 1023, and the first term is 1. What is the common ratio?

  • (1) 2
  • (2) 3
  • (3) 4
  • (4) 5
Correct Answer: (1) 2
View Solution

Question 33:

If \(5^{x-1} = 25^{y+1}\), what is the value of \(x\) in terms of \(y\)?

  • (1) \(2y + 3\)
  • (2) \(2y + 2\)
  • (3) \(2y + 1\)
  • (4) \(2y\)
Correct Answer: (1) \(2y + 3\)
View Solution

Question 34:

A shopkeeper marks an article 20% above cost price and offers a 10% discount. If the cost price is Rs. 500, what is the profit?

  • (1) Rs. 50
  • (2) Rs. 60
  • (3) Rs. 70
  • (4) Rs. 80
Correct Answer: (3) Rs. 70
View Solution


Also Check:

CAT 2014 Question Paper Analysis

CAT 2014 was conducted by IIM Indore for 2 separate days, i.e., on November 16, 2014 and November 22, 2014. CAT 2014 Question Paper was similar for all four test slots and the difficulty was rated easy.

Verbal Ability and Logical Reasoning Paper Analysis

CAT 2014 Question Paper had 50 questions from the Verbal Ability and Logical Reasoning section.

  • The question paper had 4 reading passages, in which only 1 was difficult.
  • There were no questions from the English vocabulary and grammar part. 18 questions were from Verbal Ability.
  • The question paper had 16 questions with a moderate difficulty level from Logical Reasoning.
  • Questions from Verbal Ability and Logical Reasoning were a bit lengthy.

Quantitative Ability and Data Interpretation Paper Analysis

CAT 2014 Question Paper had 50 questions from Quantitative Ability and Data Interpretation.

  • The question paper had 34 questions from Quantitative Ability and 16 questions from Data Interpretation.
  • This section was comparatively easier than last year. Most of the questions were easy and doable.
  • The question paper had mixed questions from Algebra, Arithmetic, Geometry, and pure Math.
  • There were some tricky questions from Data Interpretation.

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

Section Name Number of Question Good Attempt
Verbal Ability & Logical Reasoning 50 35+
Quantitative Ability & Data Interpretation 50 35+

CAT Question Papers of Other Years

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