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41.	Suppose A1, A2......A30 are thirty sets each with five elements and B1, B2......Bn are n sets each with three elements such that 30Ui=1 Ai = nUi=1 Bi = S. If each elements of s belongs to exactly ten of the Ai's and exactly 9 of the Bj's, then the value of n is

	a)	15	b)	135
	c)	45	d)	90
	e)	25

42.	The origin and the roots of the equation z2 + pz + q = 0 form an equilateral triangle if

	a)	p2 = 3q	b)	p2 = q
	c)	q2 = 3p	d)	q2 = p
	e)	p = q

43.	The sum of the first n terms of the series 1/2 + 3/4 + 7/8 + 15/16 +.........is equal to

	a)	2n - n+1	b)	1 - 2-n
	c)	1 + 2-n	d)	2n-1
	e)	n + 2-n - 1

44.	The value of k for which the equation 3x2 + 2x(k2+1) + k2 - 3k + 2 = 0 has roots of opposite signs, lies in the interval

	a)	(-¥,0)	b)	(1,2)
	c)	(-¥,-1)	d)	[3/2, 2]
	e)	(1,0)