Quiz Discussion

The smallest number to be added to 680621 to make the sum a perfect square is = ?

• 1] 4
• 2] 5
• 3] 6
• 4] 8

If \(a = \frac{{\sqrt 3 }}{2}{ \text{}}\)   then \(\sqrt {1 + a} + \sqrt {1 - a} = ?\)

• 1]

  \(\left( {2 - \sqrt 3 } \right)\)

• 2]

  \(\left( {2 + \sqrt 3 } \right)\)

• 3]

  \(\left( {\frac{{\sqrt 3 }}{2}} \right)\)

• 4]

  \(\sqrt 3 \)

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

• 1] 30
• 2] 34
• 3] 36
• 4] 38

The number of perfect square numbers between 50 and 1000 is = ?

• 1] 21
• 2] 22
• 3] 23
• 4] 24

While solving a mathematical problem, Samidha squared a number and then subtracted 25 from it rather than the required i.e., first subtracting 25 from the number and then squaring it. But she got the right answer. What was the given number ?

• 1] 13
• 2] 38
• 3] 48
• 4] Cannot be determined
• 5] None of these

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

• 1] 9
• 2] 49
• 3] 81
• 4] 100

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

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

• 1]

  3/4

• 2]

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

• 3]

  4/3

• 4]

  None of these

Given \(\sqrt 5 = 2.2361,   \sqrt 3 = 1.7321{ \text{,}}   then \frac{1}{{\sqrt 5 - \sqrt 3 }}\)   is equal to ?

• 1] 1.98
• 2] 1.984
• 3] 1.9841
• 4] 2

If \(a = \frac{{\sqrt 3 + \sqrt 2 }}{{\sqrt 3 - \sqrt 2 }},   b = \frac{{\sqrt 3 - \sqrt 2 }}{{\sqrt 3 + \sqrt 2 }}\)   then the value of \({a^2} + {b^2}\)   would be = ?

• 1] 10
• 2] 98
• 3] 99
• 4] 100