Quant Test 104
1. 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:
85.5
92.5
90.5
87.5
None of these
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2. 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
5p – 2q – r = 0
5p + 2q + r = 0
5p + 2q – r = 0
5p - 2q + r = 0
None of these
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3. Let g(x) = max (5 - x, x + 2). The smallest possible value of g/x) is:
4.0
4.5
1.5
3
None of these
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4. If x, xy, xy
2 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?
1
2
3/2
1.2
None of these
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5. 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 ?
x2y
xy2
5xy
x2/y
Cannot be determined
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6. The diameter of the smaller circle is equal to the side of the square and the diagonal of the square is equal to the diameter of the bigger circle. If
the circles are concentric, then their areas are in the ratio.
1:2
2:3
1:sqrt(2)
1:4
None of these
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7. A man buys shares at a discount of Rs.x. Later he sells all but 10 of the shares he purchased at a premium of Rs.x. If his investment was Rs.4500
and proceeds from the sale were Rs.6250, how many shares did he buy originally ? [Assume face value of shares as Rs.100