Algebra Question with answer Practice Question and Answer

Q:

if a=26 and b=22, then the value of   $${{a^3-b^3}\over {a^2-b^2}}-{3ab\over a+b}$$ is

869 0

  • 1
    $$11\over 13$$
    Correct
    Wrong
  • 2
    $$1\over 3$$
    Correct
    Wrong
  • 3
    $$5\over 3$$
    Correct
    Wrong
  • 4
    $$13\over 11$$
    Correct
    Wrong
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Answer : 2. "$$1\over 3$$"

Q:

Directions: In each of these questions, two equations (i) and (ii) are given, you have to solve both the equations and give answer accordingly.

(i) 12x² + 11x + 2 = 0
(ii) 12y²+ 7y + 1 = 0

855 0

  • 1
    x ≥ y
    Correct
    Wrong
  • 2
    x > y
    Correct
    Wrong
  • 3
    x < y
    Correct
    Wrong
  • 4
    x ≤ y
    Correct
    Wrong
  • 5
    x = y or no relation can be established between x & y.
    Correct
    Wrong
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Answer : 5. "x = y or no relation can be established between x & y."

Q:

What is the value of a2+b2+c2-2ab-2bc+2ca?

843 0

  • 1
    (2a + b + c)2
    Correct
    Wrong
  • 2

    (a − b + c)2

    Correct
    Wrong
  • 3

    (a − b − 2c)2

    Correct
    Wrong
  • 4

    (a + 2b − c)2

    Correct
    Wrong
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Answer : 2. "

(a − b + c)2

"

Q:

If a ≠ b, then which of the following statement is true ?

837 0

  • 1
    $${a+b\over 2}= \sqrt{ab} $$
    Correct
    Wrong
  • 2
    $${a+b\over 2}> \sqrt{ab} $$
    Correct
    Wrong
  • 3
    $${a+b\over 2}< \sqrt{ab} $$
    Correct
    Wrong
  • 4
    All of the above
    Correct
    Wrong
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Answer : 2. "$${a+b\over 2}> \sqrt{ab} $$"

Q:

If x2+4y2=17 and xy=2, where x>0,y>0, then what is the value of x3+8y3?

832 0

  • 1
    95
    Correct
    Wrong
  • 2
    85
    Correct
    Wrong
  • 3
    65
    Correct
    Wrong
  • 4
    76
    Correct
    Wrong
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Answer : 3. "65"

Q:

If (x + 6y) = 8, and xy = 2, where x > O, what is the value of (x3+216y3)?

824 0

  • 1
    476
    Correct
    Wrong
  • 2
    288
    Correct
    Wrong
  • 3
    224
    Correct
    Wrong
  • 4
    368
    Correct
    Wrong
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Answer : 3. "224"

Q:

If x = z = 225 and y = 226 then the value of : x3 + y3 + z3 – 3xyz is

824 0

  • 1
    765
    Correct
    Wrong
  • 2
    676
    Correct
    Wrong
  • 3
    576
    Correct
    Wrong
  • 4
    674
    Correct
    Wrong
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Answer : 2. "676 "

Q:

 If 3x2-5x+1=0, then the value of ( $$x^2+{1\over 9x^2}$$) is 

810 0

  • 1
    $$1{2\over 3} $$
    Correct
    Wrong
  • 2
    $$1{1\over 3}$$
    Correct
    Wrong
  • 3
    $$2{1\over 9}$$
    Correct
    Wrong
  • 4
    $$2{2\over 3}$$
    Correct
    Wrong
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Answer : 3. "$$2{1\over 9}$$"

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