ALGEBRAIC IDENTITIES Maths Quiz For SSC CGL CHSL CPO MTS SI JE Steno

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

(a) 44

(b) 48

(c) 52

(d) 64

2. 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

3. 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

4. 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)

5. 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)

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

(a) 1

(b) 2

(c) 3

(d) 4

7. 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

9. 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 :-