About **2 to 3 Algebra questions** and answers are asked in **SSC, Railways** and other competitive examinations because of this , algebra topic becomes very important to read.

From the perspective of competitive exam, the algebra topic is not very lengthy. In this, the question is easily solved with the help of some important formulas.

In this post, I have given a list of questions made on the different patterns of algebra. The Hand-written notes of algebra formulas and concepts have also been given with questions.

Download **300+ Algebra Questions and Answers** with **hand Writing Notes**.** Link is given below**

1. If x = 7 – 4 √3, then √x + 1/√x is equal to:

(1) 1 (2) 2 (3) 3 (4) **4**

2. If 2x + 1/3x = 5, find the value of 5x/6x^{2} + 20x + 1

(1) 1/4 (2) 1/6 (3) 1/5 (4)** 1/7**

3. If x^{2} + y^{2} + 2x + 1 = 0, then the value of x^{31} + y^{35} is

(1) **–1** (2) 0 (3) 1 (4) 2

4. If (3a + 1)^{2} + (b – 1)^{2} + (2c – 3)^{2} = 0, then the value of (3a + b + 2c) is equal to:

(1) **3** (2) –1 (3) 2 (4) 5

5. If a^{3}b = abc = 180, a, b, c are positive integers, then the value of c is

(1) 110 (2) **1** (3) 4 (4) 25

6. If 64^{x+1} = 64/4^{x}, then the value of x is

(1) 1 (2) **0 **(3) 1/2 (4) 2

7. X = 4 √15/√5 + √3, the value of x + √20/x – √20 + x +√12/x – √12 is

(1) 1 (2) **2** (3) 3 (4) 5

8. If x and y are positive real numbers and xy = 8, then the minimum value of 2x + y is

(1) 9 (2) 17 (3) 10 (4) **8**

9. If a + 1/b = 1 and b + 1/c = 1, then c + 1/a is equal to

(1) 0 (2) 1/2 (3) **1** (4) 2

10. If 6x – 5y = 13, 7x + 2y = 23 then 11x + 18y =

(1) –15 (2) **51** (3) 33 (4) 15

11. If x^{2} – 3x + 1 = 0, then the value of x^{2} + x + 1/x + 1/x^{2} is

(1) **10** (2) 2 (3) 6 (4) 8

12. If x + y + z = 13 and x^{2} + y^{2} + z^{2} = 69, then xy + z (x + y) is equal to

(1) 70 (2) 40 (3) **50** (4) 60

13. If a = 23 and b = –29 then the value of 25a^{2}+ 40ab + 16b^{2} is:

(1)** 1** (2) –1 (3) 0 (4) 2

14. Number of solutions of the two equations 4x – y = 2 and 2y – 8x + 4 = 0 is

(1) zero (2) one (3) two (4) **infinitely many**

15. If 999x + 888y = 1332 888x + 999y = 555, then the value of x + y is

(1) 888 (2) 555 (3)** 1 ** (4) 999

16. If x – 1/x = 2, then what is the value of x^{2} + 1/x^{2}?

(1) 4 (2) 5 (3) 3 (4) **6**

17. If 2p 1/p = 4, then value of p^{3} + 1/8p^{3} is

(1) 4 (2) **5 **(3) 8 (4) 15

18. If x + 1/x = 2, x is not equal to 0 , then value of x^{2} + 1/x^{3} is equal to

(1) 1 (2) **2** (3) 3 (4) 4

19. If x + 1/4x = 3/2, find the value of 8x^{3} + 1/8x^{3}

(1) **18** (2) 36 (3) 24 (4) 16

20. The graph of the equations 25x + 75y = 225 and x = 9 meet at the point

(1) (0,9) (2) **(9,0)** (3) (3,0) (4) (0,3)

21. The area (in square units) of the triangle formed by the graphs of the equations x = 4, y = 3 and 3x + 4y = 12; is

(1) 24 (2) 12 (3) **6** (4) 3

22. If x : y = 3 : 4 , then (7x + 3y) : (7x – 3y) is equal to :

(1) 5 : 2 (2) 4 : 3 (3)** 11 : 3** (4) 37 : 19

23. If x + 1/x = 3, then the value of x^{5} + 1/x^{5} is

(1) 110 (2) 132 (3) 122 (4) **123**

24. If x – 1/x = 2, then the value of x^{3} – 1/x^{3} is:

(1) 15 (2) 2 (3) **14** (4) 11

25. If a = 4.965, b = 2.343 and c = 2.622, then the value of a^{3} – b^{3} – c^{3 }– 3abc is

(1) –2 (2) –1 (3) **0 ** (4) 9.93

26. If x = 2015, y = 2014 and z = 2013, then value of x^{2 }+ y^{2 }+ z^{2 }– xy – yz – zx is

(1) **3** (2) 4 (3) 6 (4) 2

27. If p = 99, then the value of p (p^{2} + 3p + 3) is

(1) 10000000 (2) 999000 (3) **999999** (4) 990000

28. If x + 1/x = 5, then x^{6} + 1/x^{6} is

(1) **12098** (2) 12048 (3) 14062 (4) 12092

29. If a^{2} + a + 1 = 0, then the value of a^{9} is

(1) 2 (2) 3 (3) **1 ** (4) 0

30. If a + b + c = 6, a^{2} + b^{2} + c^{2} = 14 and a^{3} + b^{3} + c^{3} = 36, then the value of abc is

(1) 3 (2) **6** (3) 9 (4) 12