CAT 2015 Question Paper QA Slot 2 (Available):Download Solutions with Answer Key PDF

CAT 2015 Question Paper for QA was rated moderately difficult. The question paper had 34 questions, in which 15 questions were Non-MCQ type and the rest were MCQs. CAT 2015 QA question Paper was much more difficult than CAT 2014 question paper. CAT 2015 Question Paper for QA had questions from regular topics like Algebra, Modern Math, Geometry, Arithmetic, and Number System. Attempting 25-27 questions with 90% accuracy was considered good.

Students preparing for CAT 2025 can download CAT 2015 Question Paper (QA) with Answer Key PDFs from below:

Also Check: CAT Question Paper With Solution Pdf

CAT 2015 Question Paper with Solution PDF – QA Slot 2

CAT 2015 Question Paper With Answer Key – QA Slot 2	Download PDF	Check Solutions

Question 1:

A shopkeeper sells an item at a 20% profit. If the cost price is increased by 10% and the selling price by Rs. 10, the profit percentage becomes 15%. What is the original cost price?

(a) Rs. 100
(b) Rs. 150
(c) Rs. 200
(d) Rs. 250

View Solution

Question 2:

A car travels from A to B at 60 km/h and returns at 40 km/h. What is the average speed for the round trip?

(a) 48 km/h
(b) 50 km/h
(c) 52 km/h
(d) 45 km/h

View Solution

Question 3:

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

(a) 20
(b) 30
(c) 40
(d) 60

View Solution

Question 4:

A bag contains 4 red, 3 white, and 2 blue balls. Two balls are drawn at random. What is the probability that both are red?

(a) $ \frac{1}{6} $
(b) $ \frac{1}{12} $
(c) $ \frac{1}{9} $
(d) $ \frac{2}{9} $

View Solution

Question 5:

The sum of the ages of a father and son is 50 years. Five years ago, the father’s age was four times the son’s age. What is the father’s current age?

(a) 35
(b) 40
(c) 45
(d) 50

View Solution

Question 6:

A rectangle has an area of 60 cm² and a perimeter of 32 cm. What is the length if it is greater than the width?

(a) 10 cm
(b) 12 cm
(c) 14 cm
(d) 16 cm

View Solution

Question 7:

A sum of Rs. 10,000 is invested at 5% per annum compound interest for 2 years. What is the total amount?

(a) Rs. 11,000
(b) Rs. 11,025
(c) Rs. 11,050
(d) Rs. 11,100

View Solution

Question 8:

In a class, 60% of students are boys, and 40% are girls. If 30% of boys and 20% of girls passed an exam, what percentage of the class passed?

(a) 26%
(b) 28%
(c) 30%
(d) 32%

View Solution

Question 9:

A man can row at 6 km/h in still water. If the river flows at 2 km/h and it takes him 1 hour to row to a place and return, what is the distance to the place?

(a) 2 km
(b) 2.5 km
(c) 3 km
(d) 4 km

View Solution

Question 10:

If $ x^2 - 5x + 6 = 0 $, what is the sum of the roots?

(a) 3
(b) 5
(c) 6
(d) 8

View Solution

Question 11:

The ratio of two numbers is 3:4. If their sum is 70, what is the larger number?

(a) 30
(b) 40
(c) 50
(d) 60

View Solution

Question 12:

A train travels 360 km in 4 hours. What is its speed in km/h?

(a) 80
(b) 90
(c) 100
(d) 120

View Solution

Question 13:

If $ \log_2 x + \log_2 (x - 2) = 3 $, what is $ x $?

(a) 2
(b) 3
(c) 4
(d) 6

View Solution

Question 14:

The area of a circle is 154 cm². What is its radius? (Use $ \pi = \frac{22}{7} $)

(a) 5 cm
(b) 6 cm
(c) 7 cm
(d) 8 cm

View Solution

Question 15:

A and B start a business with investments of Rs. 4000 and Rs. 6000. If the profit after 1 year is Rs. 5000, what is A’s share?

(a) Rs. 2000
(b) Rs. 2500
(c) Rs. 3000
(d) Rs. 3500

View Solution

Question 16:

If $ 2x + 3y = 12 $ and $ x - y = 1 $, what is the value of $ x $?

(a) 3
(b) 4
(c) 5
(d) 6

View Solution

Question 17:

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

(a) 800
(b) 820
(c) 840
(d) 860

View Solution

Question 18:

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

(a) $ \frac{1}{2} $
(b) $ \frac{1}{4} $
(c) $ \frac{1}{3} $
(d) $ \frac{1}{6} $

View Solution

Question 19:

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

(a) 1
(b) 2
(c) 3
(d) 4

View Solution

Question 20:

A pipe can fill a tank in 6 hours, and another pipe can empty it in 8 hours. If both are opened together, how many hours will it take to fill the tank? (Enter the answer as a fraction or decimal.)

View Solution

CAT 2015 QA Paper Analysis

CAT 2015 Question Paper was conducted by IIM Ahmedabad on November 29, 2015. IIM Ahmedabad conducted forenoon and afternoon sessions for the examination.

This moderate difficulty section was dominated by questions from Algebra, Geometry, and Arithmetic.
The questions were designed to test the grasp of basic fundamentals.
CAT 2015 QA question paper had no questions from the Number System.

Follow the table below to understand the complete CAT 2015 QA Question Paper analysis- distribution of questions:

Topics	Number of Questions
Number System	0
Algebra	14
Arithmetic	10
Modern Math	3
Trigonometry (Height & Distance)	2
Geometry and Mensuration	5

CAT Question Papers of Previous Years

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1.
The ratio of expenditures of Lakshmi and Meenakshi is $2 : 3$, and the ratio of income of Lakshmi to expenditure of Meenakshi is $6 : 7$. If excess of income over expenditure is saved by Lakshmi and Meenakshi, and the ratio of their savings is $4 : 9$, then the ratio of their incomes is:

$7 : 8$
$3 : 5$
$2 : 1$
$5 : 6$

View Solution

2.
The passage given below is followed by four summaries. Choose the option that best captures the essence of the passage.
The return to the tailor is the juxtaposition of three key things for the mindful Indian shopper. The first is the conscious shift away from the homogeneity of fast fashion, the idea of a hundred other people owning exactly the same Zara trench coat or H & M pleated skirt. The second is an actual understanding of the waste behind the fast fashion market, and wanting not to contribute to that anymore. The last is the shift toward customisation and fit—the idea of having imaginations brought to life and to have them fit exactly; without paying exorbitant rates for that bespoke tailoring. For the individual with a keen fashion sense and a genuine desire to move away from the waste and uniformity of fast fashion without paying the premium for it that indie brands would invariably demand, the tailor is the perfect crossover.

The mindful Indian shopper is shifting away from convenience and uniformity of clothing, and waste in fashion, to customisation and less exorbitantly priced clothing.
In the Indian retail market, people believe that expensive branded clothes are wasteful and, therefore, are returning to the neighbourhood tailor.
The mindful Indian shoppers are returning to the tailor with a genuine desire to wear clothes which are less expensive, fit them well and are yet fashionable.
All Indian shoppers are opting for customisation and a shift away from homogeneity over expensive clothing brands like Zara and H & M.

View Solution

3.
The average salary of 5 managers and 25 engineers in a company is 60000 rupees. If each of the managers received 20% salary increase while the salary of the engineers remained unchanged, the average salary of all 30 employees would have increased by 5%. The average salary, in rupees, of the engineers is

$40000$
$54000$
$50000$
$45000$

View Solution

4.
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.

25 : 28
12:15
23:27
17:19

View Solution

5.
The set of all real values of $x$ for which $(x^2 - |x+9| + x)>0$ is:

$(-\infty,-9)\cup(3,\infty)$
$(-\infty,-3)\cup(9,\infty)$
$(-\infty,-3)\cup(3,\infty)$
$(-9,-3)\cup(3,9)$

View Solution

6.
The rate of water flow through three pipes A, B and C are in the ratio 4 : 9 : 36. An empty tank can be filled up completely by pipe A in 15 hours. If all the three pipes are used simultaneously to fill up this empty tank, the time, in minutes, required to fill up the entire tank completely is nearest to

$76$
$78$
$73$
$71$

View Solution

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CAT 2015 Question Paper QA Slot 2 (Available):Download Solutions with Answer Key PDF

CAT 2015 Question Paper with Solution PDF – QA Slot 2

CAT 2015 QA Paper Analysis

CAT Question Papers of Previous Years

Other MBA Exam Question Papers

CAT Questions

1.
The ratio of expenditures of Lakshmi and Meenakshi is $2 : 3$, and the ratio of income of Lakshmi to expenditure of Meenakshi is $6 : 7$. If excess of income over expenditure is saved by Lakshmi and Meenakshi, and the ratio of their savings is $4 : 9$, then the ratio of their incomes is:

4.
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.

5.
The set of all real values of $x$ for which $(x^2 - |x+9| + x)>0$ is:

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CAT 2015 Question Paper with Solution PDF – QA Slot 2

CAT 2015 QA Paper Analysis

CAT Question Papers of Previous Years

Other MBA Exam Question Papers

CAT Questions

1.The ratio of expenditures of Lakshmi and Meenakshi is $2 : 3$, and the ratio of income of Lakshmi to expenditure of Meenakshi is $6 : 7$. If excess of income over expenditure is saved by Lakshmi and Meenakshi, and the ratio of their savings is $4 : 9$, then the ratio of their incomes is:

4.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.

5.The set of all real values of $x$ for which $(x^2 - |x+9| + x)>0$ is:

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SUBSCRIBE TO OUR NEWS LETTER

CAT 2015 Question Paper with Solution PDF – QA Slot 2

1.
The ratio of expenditures of Lakshmi and Meenakshi is $2 : 3$, and the ratio of income of Lakshmi to expenditure of Meenakshi is $6 : 7$. If excess of income over expenditure is saved by Lakshmi and Meenakshi, and the ratio of their savings is $4 : 9$, then the ratio of their incomes is:

4.
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.

5.
The set of all real values of $x$ for which $(x^2 - |x+9| + x)>0$ is: