Quant Test 108
1. At the end of year 1998, Shepard bought nine dozen goats. Henceforth, every year he added p% of the goats at the beginning of the year and
sold q% of the goats at the end of the year where p>0 and q>0. If Shepard had nine dozen goats at the end of year 2002, after making the sales
for that year, which of the following is true?
p = q
p < q
p > q
p = q/2
None of these
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2. The sum of 3rd and 15th elements of an arithmetic progression is equal to the sum of 6th, 11th and 13th elements of the progression. Then which
element of the series should necessarily be equal to zero?
1st
9th
12th
10th
None of these
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3. 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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4. 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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5. Let g(x) = max (5 - x, x + 2). The smallest possible value of g/x) is:
4.0
4.5
1.5
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None of these
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6. 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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7. If x is a number satisfying 2 < x < 3 and y is such that 7 < y < 8, which of the follow