Quiz Discussion

\(\left( {\frac{{2 + \sqrt 3 }}{{2 - \sqrt 3 }} + \frac{{2 - \sqrt 3 }}{{2 + \sqrt 3 }} + \frac{{\sqrt 3 - 1}}{{\sqrt 3 + 1}}} \right) \)     simplifies to = ?

• 1]

  \(16 - \sqrt 3 \)

• 2]

  \(4 - \sqrt 3 \)

• 3]

  \(2 - \sqrt 3 \)

• 4]

  \(2 + \sqrt 3 \)

If = the value of x is = ?

• 1] 52
• 2] 58
• 3] 62
• 4] 68

R is a positive number. It is multiplied by 8 and then squared. The square is now divided by 4 and the square root is taken. The result of the square root is Q. What is the value of Q ?

• 1] 3R
• 2] 4R
• 3] 7R
• 4] 9R

How many perfect squares lie between 120 and 300 ?

• 1] 5
• 2] 6
• 3] 7
• 4] 8

\(1728 \div \root 3 \of {262144} \times ? - 288\)      = 4491

• 1] 148
• 2] 156
• 3] 173
• 4] 177

1250 oranges were distributed among a group of girls of a class. Each girl got twice as many oranges as the number of girls in that group. The number of girls in the group was = ?

• 1] 25
• 2] 45
• 3] 50
• 4] 100

Which of the following is closest to \(\sqrt 3 = ?\)

• 1]

  1.69

• 2]

  173/100

• 3]

  1.75

• 4]

  9/5

If \(x = 3 + \sqrt 8 ,   \) then \({x^2} + \frac{1}{{{x^2}}}\) is equal to = ?

• 1] 30
• 2] 34
• 3] 36
• 4] 38

If ​=.0026, the square root of 67,60,000 is:

• 1]

  1/26

• 2]

  26

• 3]

  260

• 4]

  2600

The least number of 4 digits which is a perfect square is = ?

• 1] 1000
• 2] 1016
• 3] 1024
• 4] 1036