Algebra Practice Question and Answer

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) 3x² + 11x + 10 = 0
 (ii) 2y² + 11y + 14 = 0

953 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 : 1. "x ≥ y"

Q:

A complete factorization of x4+64 is 

952 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)?

939 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

"

Q:

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

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

938 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 P = 99, then the value of P(P2+3P+3) is

936 0

  • 1
    999
    Correct
    Wrong
  • 2
    999999
    Correct
    Wrong
  • 3
    99999
    Correct
    Wrong
  • 4
    99
    Correct
    Wrong
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Answer : 2. "999999"

Q:

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

927 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:

926 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. "$$5(3+2 \sqrt { 2})$$"

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