Section – I
1. A basket contains only three kinds of fruits – guavas, mangoes and pears. What is the minimum number of fruits that should be picked from the basket to ensure that at least 5 guavas or at least 7 mangoes or at least 8 pears are picked? (a) 12 (b) 20 (c) 17 (d) 18
Find the number of consecutive zeroes immediately after the decimal in (log 2 = 0.3010) (a) 46 (b) 47 (c) 48
If a, b and c are non-zero real numbers such that |a – b| = |c| and |a – c| = |b|, then what is the value of b2 + c2? (b) 2bc (c) a2 (d) a2 + 2bc (a) a2 – 2bc Two circles of radii ‘r’ units and ‘2r’ units intersect each other in such a way that their common chord is of the maximum possible length. What is the area (in square units) of the region that is common to the two circles? (a)
πr 2 2
7πr 2 − 3r 2 6
11πr 2 3r 2 − 6 2
7πr 2 3r 2 − 6 2
Find the minimum possible value of ‘y’ if (a) 4 (b) 5
9 x 25 < < , where x and y are natural numbers. 17 y 43
(c) 7 (d) 8
The question given below is followed by two statements, A and B. Mark the answer using the following instructions: Mark (a) if the question can be answered by using one of the statements alone, but cannot be answered by using the other statement alone. Mark (b) if the question can be answered by using either statement alone. Mark (c) if the question can be answered by using both the statements together, but cannot be answered by using either statement alone. Mark (d) if the question cannot be answered even by using both the statements together. Q. The sum of the first five terms of a geometric progression is 363. What is the first term of the geometric progression? A. All the terms are distinct natural numbers as well as multiples of 3. B. One of the terms is cube of a natural number.
Proctored Mock CAT-2 2012
Directions for questions 7 and 8: Answer the questions on the basis of the information given...
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