Quiz Discussion

\({\left( {\sqrt 3 - \frac{1}{{\sqrt 3 }}} \right)^2}\) simplifies to:

• 1]

  3/4

• 2]

  \(\frac{4}{{\sqrt 3 }}\)

• 3]

  4/3

• 4]

  None of these

\(\sqrt {0.0169 \times ?} = 1.3\)

• 1] 10
• 2] 100
• 3] 1000
• 4] None of these

Determined the value of \(\frac{1}{{\sqrt 1 + \sqrt 2 }}{ \text{ + }}  \frac{1}{{\sqrt 2 + \sqrt 3 }} +   \frac{1}{{\sqrt 3 + \sqrt 4 }} +   ...... +   \frac{1}{{\sqrt {120} + \sqrt {121} }}{ \text{ = ?}}\)

• 1]

  8

• 2]

  10

• 3]

  \(\sqrt {120} \)

• 4]

  \(12\sqrt 2 \)

\(\sqrt {\frac{{16}}{{25}}} \times \sqrt {\frac{?}{{25}}} \times \frac{{16}}{{25}} = \frac{{256}}{{625}}\)

• 1] 5
• 2] 8
• 3] 16
• 4] None of these

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

• 1]

  \(16 - \sqrt 3 \)

• 2]

  \(4 - \sqrt 3 \)

• 3]

  \(2 - \sqrt 3 \)

• 4]

  \(2 + \sqrt 3 \)

Which number should replace both the question marks in the following equation ?/1776=111/?

• 1] 343
• 2] 414
• 3] 644
• 4] 543
• 5] None of these

Three fifth of the square of a certain number is 126.15, What is the number?

• 1]

  210.25

• 2]

  75.69

• 3]

  14.5

• 4]

  145

In the equation \(\frac{{4050}}{{\sqrt x }} = 450{ \text{}}\)   the value of x is = ?

• 1] 9
• 2] 49
• 3] 81
• 4] 100

By what least number must 21600 be multiplied so as to make it perfect cube ?

• 1] 6
• 2] 10
• 3] 20
• 4] 30

The digit in the unit's place in the square root of 15876 is = ?

• 1] 2
• 2] 4
• 3] 6
• 4] 8