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 \(a = \frac{{\sqrt 5 + 1}}{{\sqrt 5 - 1}}   \) and \(b = \frac{{\sqrt 5 - 1}}{{\sqrt 5 + 1}},\)   the value of \(\left( {\frac{{{a^2} + ab + {b^2}}}{{{a^2} - ab + {b^2}}}} \right)\)   is ?

• 1]

  3/4

• 2]

  4/3

• 3]

  3/5

• 4]

  5/3

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]

  \(\sqrt 5 \)

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

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

By what least number 4320 be multiplied to obtain a number which is a perfect cube?

• 1]

  35

• 2]

  48

• 3]

  50

• 4]

  62

The square root of \(\frac{{{{\left( {0.75} \right)}^3}}}{{1 - 0.75}} { \text{ + }}\left[ {0.75 + {{\left( {0.75} \right)}^2} + 1} \right]\)    is = ?

• 1] 1
• 2] 2
• 3] 3
• 4] 4

What percentage of the numbers from 1 to 50 have squares that end in the digit 1 ?

• 1] 1%
• 2] 5%
• 3] 10%
• 4] 11%
• 5] 20%

The square root of 123454321 is = ?

• 1] 111111
• 2] 12341
• 3] 11111
• 4] 11211

\(99 \times 21 - \root 3 \of ? = 1968\)

• 1] 1367631
• 2] 111
• 3] 1366731
• 4] 1367

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