Cat Quant Test 2

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Quant Test 2

1.

An artist has a canvas of length 10 inches and breadth 7 inches. He divides the canvas into 70 squares of area 1 inch by drawing lines parallel to the edges. He paints a corner square with green colour. He then paints the two adjacent squares that share the side with the existing green square with blue colour. He continues to paint the entire canvas in such a way that no green square is adjacent (i.e. share the same side) to another green and no blue square adjacent to another blue. What is the ratio of number of blue squares on the canvas to the number of green squares ?

j 10:7 k l m n j 5:7 k l m n j 1:1 k l m n j 7:10 k l m n j None of these k l m n i Skip this question j k l m n

2. If x is a number satisfying 2 < x < 3 and y is such that 7 < y < 8, which of the following expressions will have the largest value ?

j x^2y k l m n j xy^2 k l m n j 5xy k l m n j x^2/y k l m n j Cannot be determined k l m n i Skip this question j k l m n

3. A hoarding is fitted above a building. The height of the building is 12 m. When I look at the lights fitted on top of the hoarding from a nearby bus stop, the angle of elevation is 50° and when I look at the top of the building (terrace) from the same bus stop, the angle of elevation is 45°. If the height of a flat on each floor is equal to the height of the hoarding, what is the maximum number of floors in the building? (tan 50° = 1.1917).

j 2 k l m n j 4 k l m n j 5 k l m n j 7 k l m n j None of these k l m n i Skip this question j k l m n

2 4. If x, xy, xy  are the sides of a triangle, where x and y are real numbers and y ≥ 1, then which of the following is the value that y cannot take?

j 1 k l m n j 2 k l m n j 3/2 k l m n j 1.2 k l m n j None of these k l m n i Skip this question j k l m n

5. A positive whole number M less than 100 is represented in base 2 notation, base 3 notation, and base 5 notation. It is found that in all three cases the last digit is 1, while in exactly two out of the three cases the leading digit is 1. Then M equals

j 31 k l m n j 63 k l m n j 75 k l m n

j 91 k l m n j None of these k l m n i Skip this question j k l m n

6. Let g(x) = max (5 - x, x + 2). The smallest possible value of g/x) is:

j 4.0 k l m n j 4.5 k l m n j 1.5 k l m n j 3 k l m n j None of these k l m n i Skip this question j k l m n

7. The function f (x) = | x - 2 | + | 2.5 - x| + |3.6 -x|, where x is a real number, attains a minimum at:

j x = 2.3 k l m n j x = 2.5 k l m n j x = 2.7 k l m n j x = 4.1 k l m n j None of these k l m n i Skip this question j k l m n

8. Which one of the following conditions must p, q and r satisfy so that the following system of linear simultaneous equations has at least one solution, such that p + q + r = 0? x + 2y - 3z = p, 2x + 6y - 11z = q, x - 2y + 7z = r

j 5p – 2q – r = 0 k l m n j 5p + 2q + r = 0 k l m n j 5p + 2q – r = 0 k l m n j 5p - 2q + r = 0 k l m n j None of these k l m n i Skip this question j k l m n

9. How many even integers n, where 100 < n < 200, are divisible neither by seven nor by nine?

j 40 k l m n j 37 k l m n j 39 k l m n j 38 k l m n j None of these k l m n i Skip this question j k l m n

10. Let A and B be two solid spheres such that the surface area of B is 300% higher than the surface area of A. The volume of A is found to be k% lower than the volume of B. The value of k must be:

j 85.5 k l m n j 92.5 k l m n j 90.5 k l m n j 87.5 k l m n j None of these k l m n i Skip this question j k l m n

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