Quiz Discussion

If \(x = 3 + \sqrt 8 ,   \) then \({x^2} + \frac{1}{{{x^2}}}\) is equal to = ?

• 1] 30
• 2] 34
• 3] 36
• 4] 38

If √x+x/y  = x√x/y  where x and y are positive real numbers, then y is equal to ?

• 1]

  x + 1

• 2]

  x - 1

• 3]

  x² + 1

• 4]

  x² - 1

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

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

A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 59.29, the number of the member is the group is:

• 1] 57
• 2] 67
• 3] 77
• 4] 87

\(\sqrt {\frac{{25}}{{81}} - \frac{1}{9}} = ?\)

• 1]

  2/3

• 2]

  4/9

• 3]

  16/81

• 4]

  25/81

If a = 0.1039, then the value of \(\sqrt {4{a^2} - 4a + 1} + 3a\)     is:

• 1] 0.1039
• 2] 0.2078
• 3] 1.1039
• 4] 2.1039

\(\left( {\frac{{\sqrt {625} }}{{11}} \times \frac{{14}}{{\sqrt {25} }} \times \frac{{11}}{{\sqrt {196} }}} \right){\kern 1pt} \)     is equal to :

• 1] 5
• 2] 6
• 3] 8
• 4] 11

A man born in the first half of the nineteenth century was x years old in the year x2. He was born in ?

• 1] 1806
• 2] 1812
• 3] 1825
• 4] 1836

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