SSC CHSL Algebra Questions with solutions. Solved Algebra question answer with short tricks are very useful for upcoming SSC CGL, CHSL and other Competitive Exams.

### SSC CHSL ALGEBRA QUESTIONS

**Q.1:** If a + b = p, ab = q, then (a^{4} + b^{4} ) is equal to:

(A) p^{4} – 4p^{2}q + q^{2}

(B) p^{4} – 4p^{2}q^{2} + 2q^{2}

(C) p^{4} – 2p^{2}q^{2} + q^{2}

(D) p^{4} – 4p^{2}q + 2q^{2}

**Q.2:** If , then what is the value of ? Given the x is real.

(A) 9

(B) 25

(C) 7

(D) 11

**Q.3:** If , then what will be the value of ?

(A) 18

(B) 8

(C) 12

(D) 20

**Q.4:** If , then the value of will be:

(A) 2712

(B) 2502

(C) 2270

(D) 2702

**Q.5:** If x^{2} + 1 – 2x = 0, x > 0 , then x^{2}(x^{2 }– 2) =_______.

(A) 0

(B) -1

(C) 1

(D)

**Q.6:** If , then what is the value of ?

(A)

(B)

(C)

(D)

**Q.7:** If x – y = 4 and xy = 3 , then what is the value of x^{3} – y^{3} ?

(A) 88

(B) 100

(C) 64

(D) 28

**Q.8:** If , then what will be the value of ?

(A)

(B)

(C)

(D)

**Q.9:** If x + 2y = 19 and x^{3} + 8y^{3} = 361 , then xy is equal to:

(A) 58

(B) 56

(C) 55

(D) 57

**Q.10:** If , then what is the value of ?

(A) 4

(B)

(C)

(D) 7

** SSC CHSL Algebra Questions with solutions for Competitive Exams**

**Q.11:** If x + y = 27 and x^{2} + y^{2} = 425 , then the value of (x – y)^{2} will be:

(A) 121

(B) 225

(C) 169

(D) 144

**Q.12:** If 3x + y = 12 and xy = 9 , then the value of (3x – y) is:

(A) 6

(B) 5

(C) 3

(D) 4

**Q.13:** If a^{2} + b^{2} + c^{2} = 576 and (ab + bc + ca) = 50 , then what is the value of (a + b + c), if (a+b+c) < 0 ?

(A) -24

(B)

(C)

(D) -26

**Q.14:** If , then the value of will be:

(A) 3024

(B) 3420

(C) 3042

(D) 3240

**Q.15:**If 3x + 5y = 14 and xy = 6 , then what is the value of 9x^{2} + 25y^{2} ?

(A) 182

(B) 16

(C) 14

(D) 20

**Q.16:** If a – b = 7 and a^{2} + b^{2} = 169 where a,b >0 , then the value of 3 a+b is:

(A) 41

(B) 46

(C) 38

(D) 44

**Q.17:** If a + 5b = 25 and ab = 20 , then one of the values of (a-5 b) is:

(A) 16

(B) 15

(C) 13

(D) 14

**Q.18:** If , then what will be the value of ?

(A) 10406

(B) 10402

(C) 9602

(D) 9606

**Q.19:** If (7x – 10y) = 8 and xy = 5 , then what is the value of 49x^{2} + 100y^{2} ?

(A) 632

(B) 623

(C) 746

(D) 764

**Q.20:** If , then what is the value of ?

(A)

(B)

(C)

(D)

** SSC CHSL Algebra Questions with solutions for Competitive Exams**

**Q.21:** If , x > 0 , then the value of is:

(A) 675

(B) 756

(C) 746

(D) 576

**Q.22:** If , then one of the values of is:

(A) 36

(B) 32

(C)

(D)

**Q.23:** The coefficient of x^{3} y in (x – 2y) x (5x + y)^{3} is:

(A) -150

(B) 75

(C) -175

(D) 250

**Q.24:** If 9x^{2} – 6x + 1 = 0 , then the value of 27x^{3} + (27x^{3})^{-1} will be:

(A) 1

(B) 4

(C) 2

(D) 8

**Q.25:** What is the coefficient of y^{2} in the expansion of ?

(A)

(B)

(C)

(D)

**Q.26:** If a + b + c = 2 and ab + bc + ca = -1 , then the value of a^{3} + b^{3} + c^{3} – 3abc is:

(A) 5

(B) 10

(C) 2

(D) 14

**Q.27:** If , then the value of will be:

(A) 237.6

(B) 273.6

(C) 367.2

(D) 376.2

**Q.28:** If a+b+c = 11 and ab+bc+ca = 15 , then what is the value of a^{3}+b^{3}+c^{3} – 3abc ?

(A) 386

(B) 836

(C) 368

(D) 638

**Q.29:** If a+b+c = 5, a^{2}+b^{2}+c^{2} = 27, and a^{3}+b^{3}+c^{3} = 125 , then the value of is:

(A) -5

(B) -1

(C) 5

(D) 1

**Q.30:** If x^{4} + x^{-4} = 47, x>0 , then the value of (2x – 3)^{2} is:

(A) 9

(B) 5

(C) 3

(D) 7

** SSC CHSL Algebra Questions with solutions for Competitive Exams**

**Q.31:** If , where a > 0, then the value of is:

(A) 45

(B) 60

(C) 65

(D) 56

**Q.32:** If x = 555, y = 556 and z = 557 , then find the value of x^{3}+y^{3}+z^{3} – 3xyz.

(A) 5002

(B) 5008

(C) 5006

(D) 5004

**Q.33:** If 3x-2y+3=0 , then what will be the value of 27x^{3}+54xy+30-8y^{3} ?

(A) 57

(B) -57

(C) -27

(D) 3

Thanks for Study the SSC CHSL Algebra Questions with solutions

**Algebra Questions with solutions in Hindi for SSC CHSL Exams **

## Maths Practice Set for Competitive Exams

**Number System Questions with Answers **

**Percentage Questions with Answers **

**Simple and Compound Interest Questions with Answers **

**Time and Work Questions with Answers **

**Mensuration Questions with Answers **

**Algebra Questions with Answers **

**Trigonometry Questions with Answers **

**Pipe and Cistern Questions **

AnkitaBanking