1. If x2– 4x + 1 = 0, then what is the value of (x3+1/x3)?

(a) 44

(b) 48

(c) 52

(d) 64

1. If x + y +z = 6 and xy + yz + zx = 11 then what is the value of (x3+y3 +z3 – 3xyz)

(a)18

(b)36

(c)54

(d)66

1. For what value of k, HCF of 2x2 + kx – 12 and    x2 + x – 2k – 2 is (x +4).

(a) 5

(b) 7

(c) 10

(d) –4

1. x (y – z) (y + z) + y (z – x)(z + x) + z (x – y)(x + y) equals

(a) (x + y) (y +z) (z + x)

(b) (x – y) (x – z) (z – y)

(c) (x + y) (z – y) (x – z)

(d) (y – x) (z – y) (x – z)

1. If If (x/y)=(z/w)  then (xy+zw)^2 equals-

(a) (x2 + z2) (y2 + w2)

(b) x2y2 + z2w2

(c) x2w2 + y2z2

(d) (x2 + w2)(y2 +z2)

1. When x40+ 2 is divided by x4 + 1, then what is the remainder?

(a) 1

(b) 2

(c) 3

(d) 4

1. If If a=(1+x)/(2-x) then 1/(a+1)+(2a+1)/(a^2-1) equals

(a) ((1+x)(2+x))/(2x-1)

(b) ((1-x)(2-x))/(x-1)

(c) ((1+x)(2-x))/(2x-1)

(d) ((1-x)(2-x))/(2x+1)

8.((x-y)^3+(y-z)^3+(z-x)^3)/(4(x-y)(y-z)(z-x))equals

(a)-3/4

(b)1/4

(c)3/4

(d)0

1. If  (x4+ x–4) = 322 hen which one of the following is the value of (x – x–1)?

(a) 18

(b) 16

(c) 8

(d) 4

10.If x = (b – c) (a – d), y = (c –a) (b – d), z = (a – b) (c – d) then which one is equal to x3 +y3 +z3?

(a) xyz

(b) 2xyz

(c) 3xyz

(d)–3xyz

Solution :-