Quiz Discussion

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]

  \( - 2\sqrt 2 \)

\(\frac{{225}}{{836}} \times \frac{{152}}{{245}} \div 1\frac{{43}}{{77}} = ?\)

• 1]

  6/49

• 2]

  6/11

• 3]

  3/28

• 4]

  1/7

• 5]

  None of these

\({{{{(469 + 174)}^2} - {{(469 - 174)}^2}} \over {(469 \times 174)}} = ?\)

• 1] 1
• 2] 4
• 3] 295
• 4] 643

Find the value of * in the following. \({ \text{1}}\frac{2}{3} \div \frac{2}{7} \times \frac{*}{7} = 1\frac{1}{4} \times \frac{2}{3} \div \frac{1}{6}\)

• 1]

  0.006

• 2]

  1/6

• 3]

  0.6

• 4]

  6

The difference of \({ \text{1}}\frac{3}{{16}}\) and its reciprocal is equal to = ?

• 1]

  \(1\frac{1}{8}\)

• 2]

  4/3

• 3]

  15/16

• 4]

  None of these

The simplest value of \(\left( {\frac{1}{{\sqrt 9 - \sqrt 8 }} - \frac{1}{{\sqrt 8 - \sqrt 7 }} + \frac{1}{{\sqrt 7 - \sqrt 6 }} - \frac{1}{{\sqrt 6 - \sqrt 5 }}} \right)\)          is = ?

• 1]

  \(3 - \sqrt 5 \)

• 2]

  3

• 3]

  \(\sqrt 5 \)

• 4]

  \(\sqrt 5 - 3\)

5 - [4 - {3 - (3 - 3 - 6)}] is equal to:

• 1] 10
• 2] 6
• 3] 4
• 4] 0

Simplify : \(\frac{{ - \frac{1}{2} - \frac{2}{3} + \frac{4}{5} - \frac{1}{3} + \frac{1}{5} + \frac{3}{4}}}{{\frac{1}{2} + \frac{2}{3} - \frac{4}{3} + \frac{1}{3} - \frac{1}{5} - \frac{4}{5}}}\)

• 1]

  -3/10

• 2]

  -10/3

• 3]

  -2

• 4]

  1

\(4\frac{4}{5} \div 6\frac{2}{5} = ?\)

• 1]

  3/4

• 2]

  5/7

• 3]

  5/8

• 4]

  7/11

• 5]

  None of these

Solve \({ \text{1}}\frac{4}{5} + 20 - 280 \div 25 = ?\)

• 1]

  \(8\frac{1}{5}\)

• 2]

  \(9\frac{1}{2}\)

• 3]

  \(11\frac{1}{2}\)

• 4]

  \(10\frac{3}{5}\)

• 5]

  \(12\frac{1}{5}\)