Quiz Discussion

The least perfect square, which is divisible by each of 21, 36 and 66 is:

• 1] 213444
• 2] 214344
• 3] 214434
• 4] 231444

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

Square root of 64009 is

• 1]

  253

• 2]

  347

• 3]

  363

• 4]

  803

R is a positive number. It is multiplied by 8 and then squared. The square is now divided by 4 and the square root is taken. The result of the square root is Q. What is the value of Q ?

• 1] 3R
• 2] 4R
• 3] 7R
• 4] 9R

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

A mobile company offered to pay the Indian Cricket Team as much money per run scored by the side as the total number it gets in a one-dayer against Australia. Which one of the following cannot be the total amount to be spent by the company in this deal ?

• 1] 21904
• 2] 56169
• 3] 101761
• 4] 121108

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

\(\sqrt {176 + \sqrt {2401} } \)    is equal to = ?

• 1] 14
• 2] 15
• 3] 18
• 4] 24

If \(3\sqrt 5 + \sqrt {125} \)   = 17.88, then what will be the value of \(\sqrt {80} + 6\sqrt 5 ?\)

• 1] 13.41
• 2] 20.46
• 3] 21.66
• 4] 22.35

If ​=.0026, the square root of 67,60,000 is:

• 1]

  1/26

• 2]

  26

• 3]

  260

• 4]

  2600