Algebra Practice Question and Answer

Q:

 if $$x^4+{16\over x^4}=15617, x>0$$ then find the value of $$x+{2\over x}$$

1160 0

  • 1
    $$ \sqrt {121} $$
    Correct
    Wrong
  • 2
    $$ \sqrt {127} $$
    Correct
    Wrong
  • 3
    $$ \sqrt {129} $$
    Correct
    Wrong
  • 4
    $$ \sqrt {123} $$
    Correct
    Wrong
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Answer : 3. "$$ \sqrt {129} $$"

Q:

The expression   $${15(\sqrt { 10}+\sqrt { 5})\over \sqrt { 10}+\sqrt { 20}+\sqrt { 40}-\sqrt { 5}-\sqrt { 80}     }$$ is equal to:

1156 0

  • 1
    $$10(3+2 \sqrt { 5})$$
    Correct
    Wrong
  • 2
    $$5+(2 \sqrt { 2})$$
    Correct
    Wrong
  • 3
    $$5(3+2 \sqrt { 2})$$
    Correct
    Wrong
  • 4
    $$5-(2 \sqrt { 5})$$
    Correct
    Wrong
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Answer : 3. "$$5(3+2 \sqrt { 2})$$"

Q:

Out of the given responses, one of the factors of (a2 – b2 )3 + (b2 – c2) 3 + (c2 – a2) 3 is

1149 0

  • 1
    (a + b) (a – b)
    Correct
    Wrong
  • 2
    (a + b) (a + b)
    Correct
    Wrong
  • 3
    (a – b) (a – b)
    Correct
    Wrong
  • 4
    (b – c) (b – c)
    Correct
    Wrong
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Answer : 1. "(a + b) (a – b) "

Q:

if x+y =3 and $${1\over x}+{1\over y}= -{3\over 10}$$ then the value of (x2+y2) is :

1142 0

  • 1
    29
    Correct
    Wrong
  • 2
    28
    Correct
    Wrong
  • 3
    26
    Correct
    Wrong
  • 4
    34
    Correct
    Wrong
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Answer : 1. "29"

Q:

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

1141 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 = 34, b = c = 33, then the value of a3 + b3 + c3 – 3abc is

1132 0

  • 1
    0
    Correct
    Wrong
  • 2
    111
    Correct
    Wrong
  • 3
    50
    Correct
    Wrong
  • 4
    100
    Correct
    Wrong
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Answer : 4. "100"

Q:

If x + y + 3 = 0 , then find the value of x3+y3-9xy+9.

1129 0

  • 1
    18
    Correct
    Wrong
  • 2
    36
    Correct
    Wrong
  • 3
    -36
    Correct
    Wrong
  • 4
    -18
    Correct
    Wrong
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Answer : 4. "-18 "

Q:

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

1124 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. "$${a+b\over 2}> \sqrt{ab} $$"

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