Let x and y be consecutive integers. Suppose m be the number of solutions of x3 − y3 = 3k2 and n be the number of solutions of x3 − y3 = 2t2,where k, t are integers. Then m + n equals:
If (x + 4) (x + 6) (x +1) 2> 0, then the solution set for the inequality is
If 5x + 9 > 3x + 19, what is the range of values x can take?
The g.c.d. of x3 + x2 – x – 1 and x2 – 1 is
The total number of integer pairs (x, y) satisfying the equation x + y = xy is
If a, b and c are the sides of a triangle and a4 + b4 + 2a2b2 = c4, then the triangle is
Which of the following is true?
If 9c + 2d = 11 and z – 3d = 5, then what is the value of g?
Which family has the lowest average savings?
If a sum of money at certain rate of interest doubles in 5 years and at a different rate of interest becomes 3 times in 12 years, the better rate of interest is