Quant Test 100
1. If the product of n positive real numbers is unity, then their sum is necessarily
a multiple of n
equal to n + 1/n
never less than n
a positive integer
None of the above
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2. Let g(x) = max(5 – x, x + 2). The smallest possible value of g(x) is
4.0
4.5
1.5
2.0
None of the above
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3. Twenty-seven persons attend a party. Which one of the following statements can never be true?
There is a person in the party who is acquainted with all the twenty-six others
Each person in the party has a different number of acquaintances
There is a person in the party who has an odd number of acquaintances
In the party, the is no set of three mutual acquaintances
None of the above
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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 the above
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5. In a 4000 meter race around a circular stadium having a circumference of 1000 meters, the fastest runner and the slowest runner reach the same
point at the end of the 5th minute, for the first time after the start of the race. All the runners have the same starting point and each runner
maintains a uniform speed throughout the race. If the fastest runner runs at twice the speed of the slowest runner, what is the time taken by the
fastest runner to finish the race?
20 min
15 min
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http://www.complore.com/test4PDF.php?id=313
10 min
5 min
4 min
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6. 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