 # Advance Quant Quiz(ALGEBRAIC IDENTITIES) For SSC CPO & CGL 2016

As SSC CGL exam is coming near, many of candidates are studying very hard for this exam and want to crack this exam very seriously. Many of candidates understand this thing that QUANTITATIVE APTITUDE Section plays a pivotal role in deciding the cut-off for candidates giving this exam, especially ADVANCED MATHS PORTION.
Friends, from now on We are starting an online quiz series of “Advanced Quant Quiz”. According to this plan, we would be publishing daily quiz of Advanced maths portion from where we would cover a topic each in it and we would update it daily.
AND ALSO THIS QUIZ SERIES IS NOT PARTICULARLY FOR SSC EXAM BUT ALSO USEFUL FOR OTHER GOVERNMENT EXAM.

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
+z
2)

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

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