Algebra Practice Question and Answer

Q:

Simplify the following expression.

$${\left({375+125} \right)^2-\left({125-375} \right)^2}\over 375×375-125×125$$

1101 0

  • 1
    $$15\over 8$$
    Correct
    Wrong
  • 2
    $$3\over 2$$
    Correct
    Wrong
  • 3
    $$27\over 28$$
    Correct
    Wrong
  • 4
    $$3\over 4$$
    Correct
    Wrong
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Answer : 2. "$$3\over 2$$"

Q:

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

1100 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:

1093 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:

$$4a-{4\over a}+3=0$$ then the value of :   $$ a^3-{1\over a^3}+3=?$$

1091 0

  • 1
    $$3\over 16$$
    Correct
    Wrong
  • 2
    $$7\over 16$$
    Correct
    Wrong
  • 3
    $$21\over 24$$
    Correct
    Wrong
  • 4
    $$21\over 16$$
    Correct
    Wrong
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Answer : 3. " $$21\over 24$$"

Q:

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

1086 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 x+y =3 and $${1\over x}+{1\over y}= -{3\over 10}$$ then the value of (x2+y2) is :

1086 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:

What is the product of (x + a) and (x + b)?

1084 0

  • 1
    x2+(a-b)x+ab
    Correct
    Wrong
  • 2

    x2+(a-b)x-ab

    Correct
    Wrong
  • 3

    x2+(a+b)x+ab

    Correct
    Wrong
  • 4

    x2+(a+b)x-ab

    Correct
    Wrong
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Answer : 3. "

x2+(a+b)x+ab

"

Q:

If p, q, r are all real numbers, then (p – q)3 + (q – r)3 + (r – p)3 is equal to 

1083 0

  • 1
    (p – q) (q – r) (r – p)
    Correct
    Wrong
  • 2
    3(p – q) (q – r) (r – p)
    Correct
    Wrong
  • 3
    0
    Correct
    Wrong
  • 4
    1
    Correct
    Wrong
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Answer : 2. "3(p – q) (q – r) (r – p) "

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