Quiz  /  Algebra Defence MCQ Questions With Answers

  • 1. 
    If x - 1/x = 5 then x2 + 1/x2 = ?

  • 5
  • 27
  • 25
  • 15

  • 2. 
    Find the value of 'x', if 40x = 3262 - 1262

  • 90400
  • 2260
  • 1808
  • 1260

  • 3. 
    The expression \(\frac{{\left( {{x^3} - 1} \right)\left( {{x^2} - 9x + 14} \right)}}{{\left( {{x^2} + x + 1} \right)\left( {{x^2} - 8x + 7} \right)}}\) simplifies to

  • (x - 1)
  • (x - 2)
  • (x - 7)
  • (x + 2)

  • 4. 
    A - b = 9, ab = 10 find the value of a + b

  • 11
  • 12
  • 16
  • 22

  • 5. 
    If A = 125 and B = 8, then what is the value of (A + B)3 - (A - B)3 - 6B(A2 - B2)?

  • 4096
  • 4608
  • 4224
  • 3456

  • 6. 
    If [x – (1/x)] = 2, then what is the value of [x6 - (1/x6)]?

  • 114√3 + 1
  • 134√2
  • 142√2 + 3
  • 140√2

  • 7. 
    Simplify: 2x(3x + 4) - 5(x2 + 2) + 7x

  • x2 - 15x + 10
  • x2 - x - 10
  • x2 + 15x - 10
  • 2x2 + x - 10

  • 8. 
    If a + b = 5, ab = 14/3 then a3 + b3 =?

  • 52
  • 54
  • 56
  • 55

  • 9. 
    If a + b = 5, a2 + b2 = 13, the value of a - b where a > b is :

  • 1
  • -1
  • 2
  • -2

  • 10. 
    The three equations 2x + 3y – 2z = 5, x + y – z = 1 & 3x + 2y – z = 8 have a solution of (p, q, r), then, what is the value of [(p + q + 11)/r]?

  • 2
  • 3
  • 4
  • 5

  • 11. 
    If the sum of two numbers is 60, and difference of them is 18, What are the numbers?

  • 29, 50
  • 20, 38
  • 39, 21
  • 30, 15

  • 12. 
    If (x + y + z) = 22 and (xy + yz + xz) = 154 then, find the value of \(\sqrt {{{\rm{x}}^3} + {{\rm{y}}^3} + {{\rm{z}}^3} - 3{\rm{xyz\;}}}\)

  • 14
  • 22
  • 23
  • 32

  • 13. 
    What is the value of (4x2 + 5y) - (6y - 3x2) + (2x2 - 4y) ?

  • 9x2 - 5y
  • 9x2 + 5y
  • 9y - 5x2
  • 5y - 9x2

  • 14. 
    If (a + b) = 5 and a2 + b2 = 13, then, (a3 + b3)/(a3 – b3) is equal to –

  • 35/19
  • 35/18
  • 32/19
  • 35/17

  • 15. 
    Find the value of [74 + 34 + 212]/[72 + 32 + 21].

  • 32
  • 35
  • 42
  • 37

  • 16. 
    If a2 + 8 = 4a then find the value of a4 – a3 + 2a2 + 10

  • 34
  • 20
  • – 38
  • – 40

  • 17. 
    Find the value of x. I. 10x + 150 = 6x + 406

  • 80
  • 64
  • 56
  • 62

  • 18. 
    If x3 – kx2 + 8x – 4 is divisible by (x – 1), then, what is the value of k?

  • 7
  • 3
  • 5
  • 4

  • 19. 
    If the roots of the quadratic equation x2 – (k + 2)x + 121 = 0 are equal, then positive value of k?

  • 20
  • 21
  • 24
  • 28

  • 20. 
    If a + b + c = 3√3 and a2 + b2 + c2 = 9 then ab + bc + ca =?

  • 12
  • 9
  • 6
  • 8
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