Cat 2009 QuantTest 94

http://www.complore.com/test4PDF.php?id=280 Archives Forums B-Schools Events MBA Vocabulary Quant Test 94 1. 5 concentric squares each having different area are drawn on a sheet of paper. If the area of the circle inscribed in the smallest square is 77 square units and the distance between the corresponding vertices of consecutive squares is 1.5 units, then find the difference between the areas of the largest and the smallest square in square units. (Take pie = 22/7) j k l m n 240 j k l m n 264 j k l m n 224 j k l m n 216 j k l m n 256 i j k l m n Skip this question 2. On Monday, a factory produced ten units of a product on a machine. To meet additional requirements, the factory had to produce 20 and 30 additional units on Tuesday and Wednesday respectively, in excess of the planned 10 units. The increase in the total cost of production on Tuesday and Wednesday was Rs. 2600 and Rs. 4800 respectively, in comparison with the cost on Monday. When the total costs of production were plotted against the number of units produced for the three days, a quadratic curve is traced. If 20 units are produced on Thursday, then what is the difference between the total costs of production on Thursday and on Monday ? j k l m n Rs. 1800 j k l m n Rs. 1000 j k l m n Rs. 1400 j k l m n Rs. 2100 j k l m n Cannot be determined i j k l m n Skip this question 3. 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 4. 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 Directions for Questions from 5 to 6: Answer the questions on the basis of the information given below. There is a N × N square matrix having N2 cells of dimension 1 × 1. Every cell in the matrix is given an address (i, j), where (i, j = n, n + 1, ……) and n is an integer. It is given that one of the box is marked as (0, 0). Every other cell is given an address (i, j) as per the Cartesian coordinate system. All addresses are given with reference to the central most cell (0, 0). For example, the cell to the immediate right of (0, 0) along the same row is given an address (1, 0). Similarly, the cell above (0, 0) along the same column is given an address (0, 1). 5. If the total number of cells in the matrix is less than 100 and N is an odd number, then what is the maximum possible number of cells in the matrix for which (i + j) is a perfect square? j k l m n 9 j k l m n 13 j k l m n 11 j k l m n 16 j k l m n 21 i j k l m n Skip this question 6. If the addresses of the cells sharing a common point or a common boundary with the cell having the address (i, j) are (i1 , j1 )....(im , jm ) , then what is the value of |(i – i1 )| + ……. |(i – im )|? (1) 2 (2) 3 (3) 6 (4) Either 2 or 3 (5) Either 2 or 3 or 6 j k l m n 2 j k l m n 3 j k l m n 6 j k l m n Either 2 or 3 j k l m n Either 2 or 3 or 6 i j k l m n Skip this question 7. How many six-digit numbers can be made by using the first 6 natural numbers such that the digit at the unit’s place is greater than the digit at the hundred’s place and the number thus formed is a multiple of 4? (Repetition of digits is not allowed.) j k l m n 96 j k l m n 108 j k l m n 114 j k l m n 78 j k l m n 120 i j k l m n Skip this question 8. A dice is rolled three times. Find the probability of getting a larger number than previous number each time. j k l m n 5/54 j k l m n 7/54 j k l m n 11/54 j k l m n 13/54 j k l m n 17/54 i j k l m n Skip this question 9. For how many values of a natural number ‘n’, the LCM of 6 6 , 88 and ‘n’ is 1212 ? j k l m n 1 j k l m n 6 j k l m n 24 j k l m n 25 j k l m n 36 i j k l m n Skip this question Take this test online © Copyright 2009. All Rights Reserved.