IIM Ahmedabad Question Paper

I want to get admission at Indian Institute of Management Ahmedabad, so I have to clear CAT exam. So here can you provide me a sample paper of CAT exam?

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I have a sample paper of CAT exam to get admission at Indian Institute of Management Ahmedabad, so here I am providing you as you want.



1. A shop stores x kg of rice. The first customer buys half this amount plus half a kg of rice. The second customer buys half the remaining amount plus half a kg of rice. Then the third customer also buys half the remaining amount plus half a kg of rice. Thereafter, no rice is left in the shop. Which of the following best describes the value of x?

(1) 2 ≤ x ≤ 6
(2) 5 ≤ x ≤ 8
(3) 9 ≤ x ≤ 12
(4) 11≤ x ≤ 14
(5) 13 ≤ x ≤ 18

Directions for Questions 2 and 3:

Let f(x) = ax2 + bx + c, where a, b and c are certain constants and a ≠ 0. It is known that f (5) = −3f (2) and that 3 is a root of f(x) = 0.

2. What is the other root of f(x) = 0?

(1) −7
(2) − 4
(3) 2
(4) 6
(5) cannot be determined

3. What is the value of a + b + c?

(1) 9
(2) 14
(3) 13
(4) 37
(5) cannot be determined

4. The number of common terms in the two sequences 17, 21, 25, … , 417 and 16, 21, 26, … , 466 is

(1) 78
(2) 19
(3) 20
(4) 77
(5) 22

5. Neelam rides her bicycle from her house at A to her office at B, taking the shortest path. Then the number of possible shortest paths that she can choose is

(1) 60
(2) 75
(3) 45
(4) 90
(5) 72




The price of Darjeeling tea (in rupees per kilogram) is 100 + 0.10 n, on the nth day of 2007 (n = 1, 2, ..., 100), and then remains constant. On the other hand, the price of Ooty tea (in rupees per kilogram) is 89 + 0.15n, on the nth day of 2007 (n = 1, 2, ..., 365). On which date in 2007 will the prices of these two varieties of tea be equal?

(a) June 30
(b) May 21
(c) April 11
(d) May 20
(e) April 10

Ans: (d)

2. A quadratic function f(x) attains a maximum of 3 at x = 1. The value of the function at x = 0 is 1. What is the value of f(x) at x = 10?

(a) -105
(b) –119
(c) –159
(d) –110
(e) -180

Ans: (c)

3. Two circles with centres P and Q cut each other at two distinct points A and B. The circles have the same radii and neither P nor Q falls within the intersection of the circles. What is the smallest range that includes all possible values of the angle AQP in degrees?

(a) Between 0 and 45
(b) Between 0 and 90
(c) Between 0 and 30
(d) Between 0 and 60
(e) Between 0 and 75

Ans: (d)

6. The maximum guaranteed return to Shabnam is

(a) 0.30%
(b) 0.25%
(c) 0.10%
(d) 0.20%
(e) 0.15%

Ans: (d)

7. What strategy will maximize the guaranteed return to Shabnam?

(a) 30% in option A, 32% in option B and 38% in option C
(b) 100% in option A
(c) 36% in option B and 64% in option C
(d) 64% in option B and 36% in option C
(e) 1/3 in each of the three options

Ans: (c)



1. If Chetan sold 10 shares of MCS on three consecutive days, while Michael sold 10 shares only once during the five days, what was the price of MCS at the end of day 3?

(a) Rs 90

(b) Rs 100

(c) Rs 110

(d) Rs 120

(e) Rs 130

Ans: (c)

2. If Michael ended up with 20 more shares than Chetan at the end of day 5, what was the price of the share at the end of day 3?

(a) Rs 90

(b) Rs 100

(c) Rs 110

(d) Rs 120

(e) Rs 130

Ans: (a)

3. What could have been the maximum possible increase in combined cash balance of Chetan and Michael at the end of the fifth day?

(a) Rs 3700

(b) Rs 4000

(c) Rs 4700

(d) Rs 5000

(e) Rs 6000

Ans: (d)

4. If Chetan ended up with Rs 1300 more cash than Michael at the end of day 5, what was the price of MCS share at the end of day 4?

(a) Rs 90

(b) Rs 100

(c) Rs 110

(d) Rs 120

(e) Not uniquely determinable

Ans: (b)

5. If Michael ended up with Rs 100 less cash than Chetan at the end of day 5, what was the difference in the number of shares possessed by Michael and Chetan (at the end of day 5)?

(a) Michael had 10 less shares than Chetan.

(b) Michael had10 more shares than Chetan.

(c) Chetan had 10 more shares than Michael.

(d) Chetan had 20 more shares than Michael.

(e) Both had the same number of shares.

Ans: (e)