22 Jun 2016

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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. 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 (2x)(2y) = 8 and (9x)(3y) = 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) (x
    2 + 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 – 21/3 + 22/3, 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. B02. C03. A04.B
05. A06. A07. B08. A
09. D10. A11. C12. C
13. C14. C15. D16. D
17. C18. B19. A20 B


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