Quiz Discussion

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

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

• 1] 2
• 2] 4
• 3] 6
• 4] 8

One-fourth of the sum of prime numbers, greater than 4 but less than 16, is the square of = ?

• 1] 3
• 2] 4
• 3] 5
• 4] 7

What is \(\frac{{5 + \sqrt {10} }}{{5\sqrt 5 - 2\sqrt {20} - \sqrt {32} + \sqrt {50} }}\)      equal to ?

• 1]

  5

• 2]

  \(5\sqrt 2 \)

• 3]

  \(5\sqrt 5 \)

• 4]

  \(\sqrt 5 \)

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

• 1]

  \(16 - \sqrt 3 \)

• 2]

  \(4 - \sqrt 3 \)

• 3]

  \(2 - \sqrt 3 \)

• 4]

  \(2 + \sqrt 3 \)

Solved \( \root 4 \of {{{\left( {625} \right)}^3}} = ?\)

• 1]

  \( \root 3 \of {1875} \)

• 2]

  25

• 3]

  125

• 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]

  \(12\sqrt 2 \)

Evaluate -

• 1]

  3

• 2]

  5

• 3]

  6

• 4]

  6.4

The least number by which 294 must be multiplied to make it a perfect square, is = ?

• 1] 2
• 2] 3
• 3] 6
• 4] 24

If y = 5,   then what is the value of \(10y\sqrt {{y^3} - {y^2}} \)   = ?

• 1]

  \(50\sqrt 2 \)

• 2]

  100

• 3]

  \(200\sqrt 5 \)

• 4]

  500