Algebra Practice Question and Answer

Q:

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

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

876 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 3x2-5x+1=0, then the value of ( $$x^2+{1\over 9x^2}$$) is 

868 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. "$$2{1\over 9}$$"

Q:

If a = 2·361, b = 3·263 and c = 5·624, then the value of a3 + b3 – c+ 3abc is

849 0

  • 1
    35·621
    Correct
    Wrong
  • 2
    0
    Correct
    Wrong
  • 3
    19·277
    Correct
    Wrong
  • 4
    1
    Correct
    Wrong
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Answer : 2. "0"

Q:

If x+y+z=10, x2+y2+z2=30, then the value of x3+y3+z3-3xyz is _________.

847 0

  • 1
    −10
    Correct
    Wrong
  • 2
    −70
    Correct
    Wrong
  • 3
    −50
    Correct
    Wrong
  • 4
    −30
    Correct
    Wrong
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Answer : 3. "−50"

Q:

If a + b = 1 and a3 + b3 + 3ab = k, then the value of k is

846 0

  • 1
    1
    Correct
    Wrong
  • 2
    3
    Correct
    Wrong
  • 3
    5
    Correct
    Wrong
  • 4
    7
    Correct
    Wrong
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Answer : 1. "1 "

Q:

A complete factorization of x4+64 is 

843 0

  • 1
    $$\left(x^2+8 \right)^2 \ $$
    Correct
    Wrong
  • 2
    $$\left(x^2+8 \right) \ (x^2-8)$$
    Correct
    Wrong
  • 3
    $$\left(x^2-4x+8 \right) \ (x^2-4x-8)$$
    Correct
    Wrong
  • 4
    $$\left(x^2+4x+8 \right) \ (x^2-4x+8)$$
    Correct
    Wrong
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Answer : 4. "$$\left(x^2+4x+8 \right) \ (x^2-4x+8)$$"

Q:

What is the simplified form the expression (1+x)(1+x2)(1+x4)(1+x8)(1-x)?

835 0

  • 1

    1-x40

    Correct
    Wrong
  • 2

    1-x32

    Correct
    Wrong
  • 3

    1-x16

    Correct
    Wrong
  • 4

    1-x42

    Correct
    Wrong
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Answer : 3. "

1-x16

"

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