The number of solutions of the equation 2x + y = 40 where both x and y are positive integers and x <= y is:
For a real number x the condition 3x  20 + 3x  40 = 20 necessarily holds if
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The number of integers n that satisfy the inequalities  n  60 < n  100 < n  20 is
The inequality of p^{2 }+ 5 < 5p + 14 can be satisfied if:
Consider the equation:
x5^{2} + 5 x  5  24 = 0
The sum of all the real roots of the above equationis:
Consider the function f(x) = (x + 4)(x + 6)(x + 8) ⋯ (x + 98). The number of integers x for which f(x) < 0 is:
If 2 ≤ x – 1 × y + 3 ≤ 5 and both x and y are negative integers, find the number of possible combinations of x and y.
The minimum possible value of the sum of the squares of the roots of the equation x^{2} + (a + 3) x  (a + 5) = 0 is
a, b, c are integers, a ≠ b ≠c and 10 ≤ a, b, c ≤ 10. What will be the maximum possible value of [abc – (a + b + c)]?
198 videos162 docs152 tests

198 videos162 docs152 tests
