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Properties of Inequalities

2. Is the num...

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2. Is the numbers of solutions in positive integer of 2 X + 3 Y = 763 is N, then find cube root of N-2

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n

is a positive integer and

n \in [5, 100]

, then the number of integral roots of the equation

x^{2} + 2 x - n = 0

Q. If N is the number of positive integal solution of

x_{1} x_{2} x_{3} x_{4} = 770

then N is equal to

Q. The number of non - negative integral solutions of

x_{1} + x_{2} + x_{3} + x_{4} \leq n

(where n is a positive integer) is:

Q. Total number of common possible positive integer solutions for the equations 2x - y = 1 and x + y = 2 is .

n^{2} + n

is divisible by

2

for every positive integer

n

x

y

are odd positive integers, then

x^{2} + y^{2}

is divisible by

4

.

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