Surds and Indices - General Aptitude

1 + 1 + 1 = ?

1 + x^(b - a)a) + x^(c - a) 1 + x^(a - b) b)+ x^(c - b) 1 + x^(b - c) + x^(a - c)

A 0

B 1

C x^{a - b - c}

D None of these

ANS:B - 1

Given Exp. =

x^b

	1 +	+	x^c
			x^a		x^a

	1 +	x^a	+	x^c
		x^b		x^b

	1 +	x^b	+	x^a
		x^c		x^c

=	x^a	+	x^b	+	x^c
	(x^a + x^b + x^c)		(x^a + x^b + x^c)		(x^a + x^b + x^c)

=	(x^a + x^b + x^c)
	(x^a + x^b + x^c)

= 1.