Quiz Discussion

If $\left( {x + \frac{1}{x}} \right) = 3,$    then $\left( {{x^2} + \frac{1}{{{x^2}}}} \right)$   is = ?

• 1]

  10/3

• 2]

  82/9

• 3]

  7

• 4]

  11

If the sum of two numbers is 22 and the sum of their squares is 404, then the product of two numbers is = ?

• 1] 40
• 2] 44
• 3] 80
• 4] 88

Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:

• 1]

  1/7

• 2]

  1/8

• 3]

  1/9

• 4]

  7/8

• 5]

  None of these

What is $\frac{{\frac{7}{8} \times \frac{7}{8} + \frac{5}{6} \times \frac{5}{6} + \frac{7}{8} \times \frac{5}{3}}}{{\frac{7}{8} \times \frac{7}{8} - \frac{5}{6} \times \frac{5}{6}}}$     equal to ?

• 1]

  41/24

• 2]

  1/24

• 3]

  41

• 4]

  None of these

If $x = \sqrt 3 { \text{ + }}\sqrt 2 { \text{,}}$ then the value of ${x^3} - \frac{1}{{{x^3}}}$  is?

• 1]

  $10\sqrt 2$

• 2]

  $14\sqrt 2$

• 3]

  $22\sqrt 2$

• 4]

  $8\sqrt 2$