Quiz Discussion

What is the smallest number by which 3600 be divided to make it a perfect cube ?

• 1] 9
• 2] 50
• 3] 300
• 4] 450

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 √x+x/y  = x√x/y  where x and y are positive real numbers, then y is equal to ?

• 1]

  x + 1

• 2]

  x - 1

• 3]

  x² + 1

• 4]

  x² - 1

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

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

• 1]

  1.69

• 2]

  173/100

• 3]

  1.75

• 4]

  9/5

\(\sqrt {11881} \times \sqrt ? = 10137\)

• 1] 8281
• 2] 8649
• 3] 9216
• 4] 9409
• 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

\(9{x^2} + 25 - 30x\)    can be expressed as the square of = ?

• 1]

  \(3{x^2} - 25\)

• 2]

  3x + 5

• 3]

   - 3x - 5

• 4]

  3x - 5

\({1.5^2} \times \sqrt {0.0225} = ?\)

• 1] 0.0375
• 2] 0.3375
• 3] 3.275
• 4] 32.75

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

• 1] 30
• 2] 34
• 3] 36
• 4] 38