Let a, b, c, d be four integers such that a + b + c + d = 4m + 1 where m is a positive integer. Given m, which one of the following is necessarily true?
If x > 5 and y < 1, then which of the following statements is true?
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If a, b, c and d are four positive real numbers such that abcd = 1, what is the minimum value of (1 + a)(1 + b)(1 + c)(1+ d)?
If x, y and z are real numbers such that x + y + z = 5 and xy + yz + zx = 3, what is the largest value that x can have?
The number of integers n satisfying n + 2 ≥ 0 and 2n ≥ 4 is
x, y and z are three positive integers such that x > y > z. Which of the following is closest to the product xyz?
For x = 15, y = 10 and z = 9, find the value of le(x, min(y, xz), le(9, 8, ma(x, y, z)).
The number of positive integer valued pairs (x, y), satisfying 4x – 17 y = 1 and x < 1000 is:
p, q and r are three nonnegative integers such that p + q + r = 10. The maximum value of pq + qr + pr + pqr is
184 videos131 docs110 tests

184 videos131 docs110 tests
