Algebra Questions For SSC | SBI | IBPS

Algebra Questions For SSC | SBI | IBPS :

In this post we are sharing some Questions Related to Algebra.Generally the Questions Based on Algebra are of same type so this gives us plus point and help in scoring more marks.We are sharing 20 Solved Questions and 10 Unsolved Questions Set,which in in Pdf Form.Start Solving Problems:

                  SOLVED PROBLEMS:

1.  The value of the expression x⁴ – 17x³ + 17x² – 17x + 17 at x = 16 is
   A) 0
   B) 1
   C) 2
   D) 3


2.  If x – 1/x = 5, then x² + 1/x² is-
   A) 5
   B) 25
   C) 27
   D) 23


3.  If (2^x)(2^y) = 8 and (9^x)(3^y) = 81, then (x,y) is-
   A) (1,2)
   B) (2,1)
   C) (1,1)
   D) (2,2)


4.  If x = 3 + 2√2, then the value of (√x – 1/√x) is-
   A) 1
   B) 2
   C) 2√2
   D) 3√3


5. If a = 23 and b = -29 then the value of 25a² + 40ab + 16b² is-
   A) 1
   B) -1
   C) 0
   D) 2


6. If a/3 = b/2, then value of (2a+3)/(3a-2b) is-
   A) 12/5
   B) 5/12
   C) 1
   D) 12/7


7.  The average of x numbers is y and average of y numbers is x. Then the average of all the numbers taken together is-
   A) (x + y)/2xy
   B) 2xy/(x + y)
   C) (x² + y²)/(x + y)
   D) xy/(x + y)


8. If x + 1/4x = 3/2, find the value of 8x³ + 1/8x³.
   A) 18
   B) 36
   C) 24
   D) 16


9. If x = 4ab/(a + b) & (a≠b), the value of (x + 2a)/(x – 2a) + (x + 2b)/(x – 2b) is –
   A) a
   B) b
   C) 2ab
   D) 2


10. If x = b + c – 2a, y = c + a -2b, z = a + b – 2c, then the value of x² + y² – z² + 2xyz is
    A) 0
    B) a + b + c
    C) a – b + c
    D) a + b – c


11. If x + 1/2x = 2, find the value of  8 x³  + 1/x³.
    A) 48
    B) 88
    C) 40
    D) 44
    


12. If x = 2 – 2^1/3 + 2^2/3, then the value of x³ – 6 x² + 18x + 18.
    A) 22
    B) 33
    C) 40
    D) 45


13.  If x + 1/x = 2 and x is real, then the value of x¹⁷ + 1/x¹⁹ is
    A) 1
    B) 0
    C) 2
    D) -2


14.  If x² + y² – 4x – 4y + 8 = 0, then the value of x – y is-
    A) 4
    B) -4
    C) 0
    D) 8


15.  If a³ – b³ – c³ – 3abc = 0, then
    A) a = b = c
    B) a + b + c = 0
    C) a + c = b
    D) a = b + c


16.  If 2x + 1/3x = 5, find the value of 5x/(6x² + 20x + 1))
    A) 1/4
    B) 1/6
    C) 1/5
    D) 1/7


17.  If for two real constants a & b, the expression ax³ + 3 x² – 8x + b is exactly divisible by (x + 2) & (x – 2), then-
    A) a = 2, b = 12
    B) a = 12, b = 2
    C) a = 2, b = -12
    D) a = -2, b = 12


18. If x² – 3x + 1 = 0, then the value of x³ + 1/x³ is-
    A) 9
    B) 18
    C) 27
    D) 1


19. If x² + y² + 2x + 1 = 0, then the value of x³¹ + y³⁵ is-
    A) -1
    B) 0
    C) 1
    D) 2


20. The lines 2x + y = 5 and x + 2y = 4 intersect at the point-
    A) (1,2)
    B) (2,1)
    C) (5/2,0)
    D) (0,2)

                      ANSWERS:  

01. B	02. C	03. A	04.B
05. A	06. A	07. B	08. A
09. D	10. A	11. C	12. C
13. C	14. C	15. D	16. D
17. C	18. B	19. A	20 B

for UNSOLVED PRACTICE set:

CLICK HERE!!  For "UNSOLVED PRACTICE" set Pdf

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