Quiz Discussion

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%

If \(x = \frac{{\sqrt 3 + 1}}{{\sqrt 3 - 1}}   \)  \(y = \frac{{\sqrt 3 - 1}}{{\sqrt 3 + 1}}\)and then the value of \(\left( {{x^2} + {y^2}} \right)\)   is?

• 1] 10
• 2] 13
• 3] 14
• 4] 15

How many two-digit numbers satisfy this property. : The last digit (unit's digit) of the square of the two-digit number is 8 ?

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

Square root of 64009 is

• 1]

  253

• 2]

  347

• 3]

  363

• 4]

  803

If \(\sqrt 2 = 1.414{ \text{,}}   \) the square root of \(\frac{{\sqrt 2 - 1}}{{\sqrt 2 + 1}}\)  is nearest to = ?

• 1] 0.172
• 2] 0.414
• 3] 0.586
• 4] 1.414

What is the least number which should be subtracted 0.000326 in order to make it a perfect square = ?

• 1] 0.000002
• 2] 0.000004
• 3] 0.02
• 4] 0.04

Which smallest number must be added to 710 so that the sum is a perfect cube ?

• 1] 11
• 2] 19
• 3] 21
• 4] 29

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

• 1] 2
• 2] 4
• 3] 6
• 4] 8

The digit in the units place in the square root of 15876 is 

• 1]

  8

• 2]

  6

• 3]

  4

• 4]

  2

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

• 1]

  3/4

• 2]

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

• 3]

  4/3

• 4]

  None of these