On simplification the value of \({ \text{1}} - \frac{1}{{1 + \sqrt 2 }}{ \text{ + }}  \frac{1}{{1 - \sqrt 2 }}\)  is = ?

• 1]

  \(2\sqrt 2 - 1\)

• 2]

  \(1 - 2\sqrt 2 \)

• 3]

  \(1 - \sqrt 2 \)

• 4]

  \( - 2\sqrt 2 \)

\(1\frac{3}{4} - 1\frac{1}{5} + 1\frac{5}{8} = ?\)

• 1]

  \(2\frac{7}{{40}}\)

• 2]

  \(3\frac{7}{{40}}\)

• 3]

  \(9\frac{5}{8}\)

• 4]

  \(10\frac{7}{8}\)

• 5]

  None of these

Simplify : \({{{5 \over 3} \times {7 \over {51}}{ \text{ of }}{{17} \over 5} - {1 \over 3}} \over {{2 \over 9} \times {5 \over 7}{ \text{ of }}{{28} \over 5} - {2 \over 3}}}\)

• 1]

  1/2

• 2]

  4

• 3]

  2

• 4]

  1/4

Given that =3.605 and =11.40 , Find the value of  + +

• 1]

  36.164

• 2]

  36.304

• 3]

  37.164

• 4]

  37.304

(4/9) × 1701 + (2/11) × 1386 = ?

• 1]

  180

• 2]

  1080

• 3]

  1008

• 4]

  1800

If \(\frac{p}{a} + \frac{q}{b} + \frac{r}{c} = 1\)     and \(\frac{a}{p} + \frac{b}{q} + \frac{c}{r} = 0\)     where a, b, c, p, q, r are non-zero real numbers, then \(\frac{{{p^2}}}{{{a^2}}} + \frac{{{q^2}}}{{{b^2}}} + \frac{{{r^2}}}{{{c^2}}}\)    is equal to = ?

• 1] 0
• 2] 1
• 3] 3
• 4] 9

\(\sqrt {\frac{{{{\left( {0.03} \right)}^2} + {{\left( {0.21} \right)}^2} + {{\left( {0.065} \right)}^2}}}{{{{\left( {0.003} \right)}^2} + {{\left( {0.021} \right)}^2} + {{\left( {0.0065} \right)}^2}}}}\)

• 1] 0.1
• 2] 10
• 3] 102
• 4] 103

Find the value of \(\sqrt {248 + \sqrt {52 + \sqrt {144} } } = ?\)

• 1]

  -16

• 2]

  \(\pm 16\)

• 3]

  16

• 4]

  16.2

A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?

• 1] 45
• 2] 60
• 3] 75
• 4] 90
• 5] None of these

What is the value of \(\frac{{\sqrt {24} + \sqrt {216} }}{{\sqrt {96} }} = ?\)

• 1]

  \(2\sqrt 6\)

• 2]

  \(4\sqrt 6 \)

• 3]

  2

• 4]

  4