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http://www.complore.com/test4PDF.php?id=227 Archives Forums B-Schools Events MBA Vocabulary Quant Test 74 1. The length, breadth and height of a cuboid are given by unique linear functions L(x), B(x) and H(x) respectively (Here, ‘x’ is a real number). The volume of this cuboid is given by the cubic function V(x) = – x3 – 4x2 + 31x + 70. Which of the following values of ‘x’ is permissible? j k l m n 7 j k l m n –3 j k l m n –8 j k l m n 6 j k l m n 4 i j k l m n Skip this question 2. How many integers exist such that not only are they multiples of 20082008 but also are factors of 2008 2020 ? j k l m n 12 j k l m n 481 j k l m n 587 j k l m n 2008^(12) j k l m n 637 i j k l m n Skip this question 3. Given that w, x, y and z are natural numbers such that 4w = xyz, 4x = wyz and 4z = wxy. Which of the following is a possible value of (w + x + y – z)2 ? j k l m n 25 j k l m n 9 j k l m n 36 j k l m n 1 j k l m n 49 i j k l m n Skip this question 4. A, B, C and D are four friends each of whom weighs less than 100 kg. From amongst them they form a group and find the total weight of the group. If the sum of the total weights of all possible distinct groups, each having the same number of members as in the first is 882 kg, then the average weight of the four friends is j k l m n 41.75 kg j k l m n 63.5 kg j k l m n 73.5 kg j k l m n 83.5 kg j k l m n Cannot be determined i j k l m n Skip this question 5. A trapezium ABCD is inscribed in a circle with centre O. AB is parallel to CD and the tangent at the point C intersects the line AB produced at E. If BE = 2 units, CE = 4 units and ΔBCE is isosceles, then what is the area of the trapezium ABCD? j k l m n 32 square units j k l m n 24 square units j k l m n 7 sqrt(15) square units j k l m n 8 sqrt(15) square units j k l m n 28 square units i j k l m n Skip this question 6. In a convex quadrilateral PQRS, points T and U are chosen on QR such that ∠QPT = ∠RSU and ∠TPU = ∠UST. If the measure of ∠QPR is 70°, then what is the measure of ∠QSR ? j k l m n 110 j k l m n 80 j k l m n 105 j k l m n 70 j k l m n 90 i j k l m n Skip this question 7. A two-digit number N is ‘q’ times the sum of its digits. A two-digit number formed by reversing the digits of N is ‘p’ times the sum of the digits. Which of the following is equal to ‘p’? j k l m n (9 – q) j k l m n (q + 1) j k l m n (11 – q) j k l m n (q – 1) j k l m n (10 – q) i j k l m n Skip this question 8. Sum of the first 30 terms of an arithmetic progression is 0. If the first term is –29, then find the sum of the 28th, 29th and 30th terms of this arithmetic progression. j k l m n 81 j k l m n 84 j k l m n -84 j k l m n –81 j k l m n None of these i j k l m n Skip this question 9. I cut a piece of paper in four equal parts. Now, I cut exactly one out of these four parts into four equal parts. Now, again if I keep on repeating the same process for infinite number of times, then which of the following can be the number of parts of paper at any instant of time? j k l m n 2048 j k l m n 2049 j k l m n 2050 j k l m n 2051 j k l m n 2052 i j k l m n Skip this question 10. Tania prepares for the CAT examination by practicing for 100 days. On any of these 100 days she does not solve more than 20 questions. If on any day, she solves more than 12 questions, then she solves at most 6 questions each on the next two days. What is the maximum possible number of questions that she can solve over the period of 100 days? j k l m n 1200 j k l m n 1208 j k l m n 1220 j k l m n 960 j k l m n 1240 i j k l m n Skip this question Take this test online © Copyright 2009. All Rights Reserved.