CAT Exam 2015 is expected to be conducted in October this year. CAT 2015 Exam notification will be released by IIM Ahmedabad soon. We have brought a fully solved CAT Question paper from the year 2004. Each question is followed by an answer and explanatory solution. Solutions have been given by experts with step wise approach to solve the problem.

**Few questions from CAT 2004 Exam:**

Q.43) If the sum of the first 11 terms of an arithmetic progression equals that of the first 19 terms, then what is the sum of the first 30 terms?

A.0

B.-1

C.1

D.Not unique

**Answer: A**

Q.44) If a man cycles at 10 km/hr, then he arrives at a certain place at 1 p.m. If he cycles at 15 km/hr, he will arrive at the same place at 11 a.m. At what speed must he cycle to get there at noon?

A.11 km/hr

B.12 km/hr

C.13 km/hr

D.14 km/hr

**Answer: B**

Q.45) On January 1, 2004 two new societies, S1, and S2, are formed, each with n members. On the first day of each subsequent month, S1 adds b members while S2 multiplies its current number of members by a constant factor r. Both the societies have the same number of members on July 2, 2004. If b = 10.5n, what is the value of r?

A.20

B.1.9

C.1.8

D.1.7

**Answer: A**

Q.46)The total number of integer pairs (x, y) satisfying the equation x + y = xy is ______.

A.0

B.1

C.2

D.None of the above

**Answer: C**

Q.47) If f(x) = x3 – 4x + p, and f(0) and f(1) are of opposite signs, then which of the following is necessarily true?

A.–1 < p < 2

B.0 < p < 3

C.–2 < p < 1

D.–3 < p < 0

**Answer: B**

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