Quiz Discussion

The least perfect square number divisible by 3, 4, 5, 6 and 8 is = ?

• 1] 900
• 2] 1200
• 3] 2500
• 4] 3600

If the product of four consecutive natural numbers increased by a natural number p, is a perfect square, then the value of p is = ?

• 1] 1
• 2] 2
• 3] 4
• 4] 8

 =

• 1]

  232

• 2]

  123

• 3]

  432

• 4]

  543

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

\(\frac{1}{{\left( {\sqrt 9 - \sqrt 8 } \right)}} -   \frac{1}{{\left( {\sqrt 8 - \sqrt 7 } \right)}} +   \frac{1}{{\left( {\sqrt 7 - \sqrt 6 } \right)}} -   \frac{1}{{\left( {\sqrt 6 - \sqrt 5 } \right)}} +   \frac{1}{{\left( {\sqrt 5 - \sqrt 4 } \right)}}\)   is equal to ?

• 1]

  0

• 2]

  1/3

• 3]

  1

• 4]

  5

The value of \(\sqrt {\frac{{0.16}}{{0.4}}} \)   is = ?

• 1] 0.02
• 2] 0.2
• 3] 0.63
• 4] None of these

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 \(\sqrt {24} = 4.889,\)   the value of \(\sqrt {\frac{8}{3}} \)   is = ?

• 1] 0.544
• 2] 1.333
• 3] 1.633
• 4] 2.666

\( \root 3 \of {\sqrt {0.000064} } = ?\)

• 1] 0.02
• 2] 0.2
• 3] 2
• 4] None of these

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%