QQAD, Practice Test 1: CAT 2008Instructions:

1) The duration of this test is 50 minutes and the test is meant to be taken in one-go without any break(s).

2) This test has 25 questions. Each question carries +4 marks on answering correctly.3) Each wrong answer attracts penalty of negative 1 mark.4) Use of slide rule, log tables and calculators is not permitted.

5) Use the blank space in the question paper for the rough work.

(1) Sarah and Neha start running simultaneously from the diametrically opposite ends of a circular track towards each other at 15km/h and 25km/h respectively. After every 10 minutes their speed reduces to half of their current speeds. If the length of the circular track is 1500 m, how many times will Sarah and Neha meet on the track?

(A) 6

(B) 9

(C) 11 (D) 7

(E) 8

(2) A cone of radius 1 unit and height 2 units just fits inside a cylinder with their axis perpendicular. The radius of the cylinder in unit is (A) 1

(B) 1.25 (C) 1.5

(D) 2 (E) more than 2(3) There are a certain facts about the software engineers working with an IT firm. Total number of software engineers is 70 out of which 30 are females. 30 people are married. 24 software engineers are above 25 years of age. Out of all married software engineers, 19 are above 25 years, of which 7 are males. 12 males are above 25 years and overall 15 males are married. How many unmarried females are there which are above 25?(A) 12 (B) 8 (C) 7

(D) 0 (E) 11DIRECTIONS for Questions 4 and 5: Each question is followed by two statements X and Y. Answer each question using the following instructions:

Choose Aif the question can be answered by X only

Choose Bif the question can be answered by Y only

Choose Cif the question can be answered by either X or Y

Choose Dif the question can be answered by both X and Y

Choose Eif the question can be answered by neither X and Y

(4) Let p(x) = x^2 + 40. Then for any two positive integers i and j where i > j, is p(i) + p(j) a composite number?

(X) p(i) p(j) is not a composite number(Y) p(2i) + p(2j) is a composite number (5) What is the length of the side AB of triangle ABC?(X) AB 2) and both of them have the symbols 0, 1, . . . , n 1. Now suppose, a new square R is formed from Q by replacing the symbols 0, 1, 2 in Q by 1, 2, 0 respectively and keeping the other symbols in Q unchanged. Then the P and R are orthogonal Latin squares(A) For no choice of n (> 2)

(B) Only for odd n (> 2)

(C) Only for even n (> 2)

(D) For every n (> 2)

(E) None of the above

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