Quiz Discussion

What is the smallest number by which 3600 be divided to make it a perfect cube ?

• 1] 9
• 2] 50
• 3] 300
• 4] 450

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

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

If \(3a = 4b = 6c   \)  and \(a + b + c = 27\sqrt {29} { \text{,}}   \) then\( \sqrt {{a^2} + {b^2} + {c^2}} \)is ?

• 1]

  \(3\sqrt {29} \)

• 2]

  81

• 3]

  87

• 4]

  None of these

Which number can replace both the question marks in the equation =?

• 1]

  12

• 2]

  7

• 3]

  

• 4]

  None of these

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

If \(a = \frac{{\sqrt 3 + \sqrt 2 }}{{\sqrt 3 - \sqrt 2 }},   b = \frac{{\sqrt 3 - \sqrt 2 }}{{\sqrt 3 + \sqrt 2 }}\)   then the value of \({a^2} + {b^2}\)   would be = ?

• 1] 10
• 2] 98
• 3] 99
• 4] 100

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

• 1]

  8

• 2]

  6

• 3]

  4

• 4]

  2

The smallest natural number which is a perfect square and which ends in 3 identical digits lies between ?

• 1] 1000 and 2000
• 2] 2000 and 3000
• 3] 3000 and 4000
• 4] 4000 and 5000

The greatest four digit perfect square number is = ?

• 1] 9000
• 2] 9801
• 3] 9900
• 4] 9981