CAT 2015 Question Paper QA Slot 1 (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 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 1

CAT 2015 Question Paper With Answer Key – QA Slot 1	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?

(a) \(\dfrac{15}{56}\)
(b) \(\dfrac{56}{15}\)
(c) \(\dfrac{1}{15}\)
(d) \(\dfrac{1}{56}\)

View Solution

Question 2:

A shopkeeper sells an item at a 20% discount on the marked price and still makes a 25% profit on the cost price. If the cost price is Rs. 400, what is the marked price?

(a) Rs. 500
(b) Rs. 600
(c) Rs. 625
(d) Rs. 700

View Solution

Question 3:

The ratio of the speeds of two trains is 3:4. If the second train covers 400 km in 5 hours, what is the speed of the first train?

(a) 60 km/h
(b) 80 km/h
(c) 90 km/h
(d) 120 km/h

View Solution

Question 4:

If \(a + b + c = 12\) and \(a^2 + b^2 + c^2 = 50\), what is the value of \(ab + bc + ca\)?

(a) 47
(b) 48
(c) 49
(d) 50

View Solution

Question 5:

A man travels 300 km, partly at 60 km/h and partly at 80 km/h. If the total time taken is 4.5 hours, how many kilometers did he travel at 60 km/h?

(a) 120 km
(b) 150 km
(c) 180 km
(d) 200 km

View Solution

Question 6:

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

(a) 48
(b) 60
(c) 72
(d) 96

View Solution

Question 7:

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

(a) 24 hours
(b) 36 hours
(c) 48 hours
(d) Never fills

View Solution

Question 8:

If \(x^2 - 5x + 6 = 0\), what is the value of \(x^3 - 3x^2 + 2x\)?

(a) 6
(b) 12
(c) 18
(d) 24

View Solution

Question 9:

A boat travels 36 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water?

(a) 10 km/h
(b) 11 km/h
(c) 12 km/h
(d) 13 km/h

View Solution

Question 10:

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

(a) 4
(b) 8
(c) 16
(d) 32

View Solution

Question 11:

A sum of money doubles in 4 years at a certain rate of compound interest. In how many years will it become 8 times?

(a) 8 years
(b) 10 years
(c) 12 years
(d) 16 years

View Solution

Question 12:

The area of a circle is \(154\) cm². What is the circumference of the circle?

(a) 22 cm
(b) 44 cm
(c) 66 cm
(d) 88 cm

View Solution

Question 13:

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

(a) \(\dfrac{25}{7}\)
(b) \(\dfrac{16}{7}\)
(c) \(\dfrac{9}{7}\)
(d) \(\dfrac{7}{2}\)

View Solution

Question 14:

A man invests Rs. 5000 at 5% simple interest per annum. How much interest will he earn after 3 years?

(a) Rs. 750
(b) Rs. 800
(c) Rs. 850
(d) Rs. 900

View Solution

Question 15:

The sum of the first \(n\) terms of an arithmetic progression is \(S_n = 3n^2 + 2n\). What is the 5th term?

(a) 15
(b) 29
(c) 19
(d) 21

View Solution

Question 16:

If \(2^x = 3^y = 6^z\), what is the value of \(xy\) in terms of \(z\)?

(a) \(z^2\)
(b) \(2z\)
(c) \(3z\)
(d) \(6z\)

View Solution

Question 17:

A rectangular garden has a perimeter of 100 meters and an area of 600 m². What is the length of the garden?

(a) 20 m
(b) 30 m
(c) 40 m
(d) 50 m

View Solution

Question 18:

What is the remainder when \(3^{100}\) is divided by 7?

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

View Solution

Question 19:

A and B can complete a work in 12 days, B and C in 15 days, and A and C in 20 days. How long will A alone take to complete the work?

(a) 20 days
(b) 24 days
(c) 30 days
(d) 36 days

View Solution

Question 20:

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

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

View Solution

Question 21:

A car travels from A to B at 60 km/h and returns at 40 km/h. If the total time taken is 5 hours, what is the distance between A and B?

(a) 100 km
(b) 120 km
(c) 150 km
(d) 180 km

View Solution

Question 22:

If the roots of the equation \(x^2 - kx + 16 = 0\) are integers, what is the sum of the roots?

(a) 4
(b) 6
(c) 8
(d) 10

View Solution

Question 23:

A shop sells two types of pens at Rs. 10 and Rs. 15 each. If 50 pens are sold for Rs. 650, how many pens of Rs. 10 were sold?

(a) 20
(b) 25
(c) 30
(d) 35

View Solution

Question 24:

What is the probability of getting a sum of 7 when two dice are rolled?

(a) \(\dfrac{1}{6}\)
(b) \(\dfrac{1}{12}\)
(c) \(\dfrac{1}{9}\)
(d) \(\dfrac{1}{36}\)

View Solution

Question 25:

The cost price of an article is Rs. 200. It is sold at a 10% discount on the marked price, yielding a 25% profit. What is the marked price?

(a) Rs. 250
(b) Rs. 275
(c) Rs. 300
(d) Rs. 350

View Solution

Question 26:

If \(a, b, c\) are in geometric progression and \(a + b + c = 21\), \(abc = 216\), what is the value of \(b\)?

(a) 6
(b) 7
(c) 8
(d) 9

View Solution

Question 27:

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?

(a) 40 km/h
(b) 45 km/h
(c) 50 km/h
(d) 55 km/h

View Solution

Question 28:

If the area of a square is 64 cm², what is the length of its diagonal?

(a) 8 cm
(b) \(8\sqrt{2}\) cm
(c) 16 cm
(d) \(16\sqrt{2}\) cm

View Solution

Question 29:

A sum of Rs. 1000 is divided among A, B, and C in the ratio 2:3:5. How much does C get?

(a) Rs. 400
(b) Rs. 450
(c) Rs. 500
(d) Rs. 550

View Solution

Question 30:

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

(a) 5
(b) 7
(c) 9
(d) 11

View Solution

Question 31:

A shopkeeper marks up an article by 25% and then offers a 20% discount. What is the net profit percentage?

(a) 0%
(b) 5%
(c) 10%
(d) 15%

View Solution

Question 32:

The number of ways to arrange 5 distinct books on a shelf is:

(a) 60
(b) 120
(c) 240
(d) 720

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

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CAT 2015 Question Paper QA Slot 1 (Available):Download Solutions with Answer Key PDF

CAT 2015 Question Paper with Solution PDF – QA Slot 1

CAT 2015 QA Paper Analysis

CAT Previous Year Question Paper

Other MBA Exam Question Papers

CAT Questions

1.
The cost of fencing a rectangular plot is ₹ 200 per ft along one side, and ₹ 100 per ft along the three other sides. If the area of the rectangular plot is 60000 sq. ft, then the lowest possible cost of fencing all four sides, in INR, is

2.
If $(a + b\sqrt{3})^2 = 52 + 30\sqrt{3}$, where $a$ and $b$ are natural numbers, then $a + b$ equals ?

3.
Let $x$, $y$, and $z$ be real numbers satisfying
\(4(x^2 + y^2 + z^2) = a,\)
\(4(x - y - z) = 3 + a.\)
Then $a$ equals ?

4.
If $\left(x^2 + \frac{1}{x^2}\right) = 25$ and $x>0$, then the value of $\left(x^7 + \frac{1}{x^7}\right)$ is

5.
Let ABCD be a parallelogram. The lengths of the side AD and the diagonal AC are 10 cm and 20 cm, respectively. If the angle \(∠ADC \) is equal to 30° then the area of the parallelogram, in sq. cm, is

6.
If $(a + b\sqrt{n})$ is the positive square root of $(29 - 12\sqrt{5})$, where $a$ and $b$ are integers, and $n$ is a natural number, then the maximum possible value of $(a + b + n)$ is ?

Comments

SUBSCRIBE TO OUR NEWS LETTER

CAT 2015 Question Paper with Solution PDF – QA Slot 1

CAT 2015 QA Paper Analysis

CAT Previous Year Question Paper

Other MBA Exam Question Papers

CAT Questions

1.The cost of fencing a rectangular plot is ₹ 200 per ft along one side, and ₹ 100 per ft along the three other sides. If the area of the rectangular plot is 60000 sq. ft, then the lowest possible cost of fencing all four sides, in INR, is

2.If $(a + b\sqrt{3})^2 = 52 + 30\sqrt{3}$, where $a$ and $b$ are natural numbers, then $a + b$ equals ?

3.Let $x$, $y$, and $z$ be real numbers satisfying\(4(x^2 + y^2 + z^2) = a,\)\(4(x - y - z) = 3 + a.\)Then $a$ equals ?

4.If $\left(x^2 + \frac{1}{x^2}\right) = 25$ and $x>0$, then the value of $\left(x^7 + \frac{1}{x^7}\right)$ is

5.Let ABCD be a parallelogram. The lengths of the side AD and the diagonal AC are 10 cm and 20 cm, respectively. If the angle \(∠ADC \) is equal to 30° then the area of the parallelogram, in sq. cm, is

6.If $(a + b\sqrt{n})$ is the positive square root of $(29 - 12\sqrt{5})$, where $a$ and $b$ are integers, and $n$ is a natural number, then the maximum possible value of $(a + b + n)$ is ?

Comments

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CAT 2015 Question Paper with Solution PDF – QA Slot 1

1.
The cost of fencing a rectangular plot is ₹ 200 per ft along one side, and ₹ 100 per ft along the three other sides. If the area of the rectangular plot is 60000 sq. ft, then the lowest possible cost of fencing all four sides, in INR, is

2.
If $(a + b\sqrt{3})^2 = 52 + 30\sqrt{3}$, where $a$ and $b$ are natural numbers, then $a + b$ equals ?

3.
Let $x$, $y$, and $z$ be real numbers satisfying
\(4(x^2 + y^2 + z^2) = a,\)
\(4(x - y - z) = 3 + a.\)
Then $a$ equals ?

4.
If $\left(x^2 + \frac{1}{x^2}\right) = 25$ and $x>0$, then the value of $\left(x^7 + \frac{1}{x^7}\right)$ is

5.
Let ABCD be a parallelogram. The lengths of the side AD and the diagonal AC are 10 cm and 20 cm, respectively. If the angle \(∠ADC \) is equal to 30° then the area of the parallelogram, in sq. cm, is

6.
If $(a + b\sqrt{n})$ is the positive square root of $(29 - 12\sqrt{5})$, where $a$ and $b$ are integers, and $n$ is a natural number, then the maximum possible value of $(a + b + n)$ is ?