**Dear Readers,**

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.

**1. If a, b, c are real and**** a ^{2} + b^{2} + c^{2}**

= 2 (a – b – c) – 3, then the value of 2a – 3b + 4c is

(1) –1

(2) 0

(3) 1

(4) 2

**2. If x + y = z, then the expression x**

+ y

^{3}+ y

^{3}– z^{3}+ 3xyz will be equal to :
(1) 0

(2) 3xyz

(3) –3xyz

(4) z

^{3}

**3. If (x+1/x)^2=3, then the value of (x**

+ x

^{72}+ x^{66}+ x

^{54}+ x^{36}+ x^{24}+ x^{6}+ 1) is:
(1) 1

(2) 2

(3) 3

(4) 4

**4. if a + b + c = 0, then the value of (a**

^{2}+ b^{2}+ c^{2})/(a^{2}-bc) is-
(1) 0

(2) 1

(3) 2

(4) 3

**5. If n=7+4√3, then the value of (√n+1/(√n))**

**is**

(1) 2√3

(2) 4

(3) –4

(4) -2√3

**6. If (x+1/x)^2=3, then the value of x**

+ x

^{206}+ x^{200}+ x

^{90}+ x^{84}+ x^{18}+ x^{12}+x^{6}

+ 1 is

+ 1 is

(1) 0

(2) 1

(3) 84

(4)

2016

2016

**7. If x=√3+√2, then the value of (x+1/x) is**

(1) 2√2

(2) 2√3

(3) 2

(4) 3

**8. If (a+1/a)=√3, then the value of (a**

be

^{6}– 1/a^{6}+2)willbe

(1) 1

(2) 2

(3) 3√3

(4) 5

**9. If x = 3 + 2√2 and**

xy = 1, then the value of (x

xy = 1, then the value of (x

^{2}+3xy+y^{2})/(x^{2}-3xy+y^{2}) is
(1) 37/31

(2) 70/31

(3) 35/31

(4) 34/31

**10. If a**

= ab + bc + ca, where a, b, c are non zero real numbers, then the value of (a+b)/c

^{2}+ b^{2}+ c^{2}= ab + bc + ca, where a, b, c are non zero real numbers, then the value of (a+b)/c

**is**

(1) 2

(2) 1

(3) 0

(4) –1