The L.C.M. of 6x2 – 5x – 6 and 12x2 + 11x + 2 is
A tank of capacity 165 liters, has N taps, numbered from 1 to N fitted to it. At the start of the nth minute, where 1≤ n ≤ N, the tap numbered n, which fills the tank at the rate of n liters per mite, is opened. If it takes exactly N minutes to fill the tank in his manner , find N.
A,B,C enter into a partenership investing Rs.35,000, Rs.45,000 and Rs.55,000 respectively.The respective shares of A,B,C in an annual profit of Rs.40,500 are:
The weights in kilograms of 10 students are 52, 45, 31, 35, 40, 55, 60, 38, 44, 36. If 44 is replaced by 46 and 40 is replaced by 35 then new median will be
a, b, c, d be real numbers in G.P. If u, v,w satisfy the equations u + 2v + 3w = 6; 4u + 5v + 6w = 12; 6u + 9v = 4 then roots of the equations (1/u + 1/v + 1/w)x2 + [(b − c)2 + (c − a)2 + (d − b)2]x + u + v + w = 0 and 20x2 + [10(a − d)2]x − 9 = 0 are
One of the editors must work completely alone for the whole day in order to prevent confusion and disorder. If no other editor can afford to lose his available time, then the only possible editor privileged with working alone is