Quiz Discussion

Simplify : \(\left[ {\left( {1 + \frac{1}{{10 + \frac{1}{{10}}}}} \right) \times \left( {1 + \frac{1}{{10 + \frac{1}{{10}}}}} \right) - \left( {1 - \frac{1}{{10 + \frac{1}{{10}}}}} \right) \times \left( {1 - \frac{1}{{10 + \frac{1}{{10}}}}} \right)} \right] \div \left[ {\left( {1 + \frac{1}{{10 + \frac{1}{{10}}}}} \right) + \left( {1 - \frac{1}{{10 + \frac{1}{{10}}}}} \right)} \right] = ?\)

• 1]

  100/101

• 2]

  90/101

• 3]

  20/101

• 4]

  101/100

The number of pairs of natural numbers the difference of whose squares is 45 will be ?

• 1] 2
• 2] 3
• 3] 6
• 4] 5

Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:

• 1]

  1/7

• 2]

  1/8

• 3]

  1/9

• 4]

  7/8

• 5]

  None of these

Simplify : \(\root 3 \of { - 2197} \,\times \)  \(\root 3 \of { - 125} \,\,\div \)   \(\root 3 \of {\frac{{27}}{{512}}} \)  = ?

• 1]

  \(\frac{{492}}{7}\)

• 2]

  \(\frac{{520}}{3}\)

• 3]

  \(\frac{{554}}{7}\)

• 4]

  \(\frac{{571}}{5}\)

The value of \({ \text{5}}\frac{1}{3} \div 1\frac{2}{9} \times \frac{1}{4}  \left( {10 + \frac{3}{{1 - \frac{1}{5}}}} \right)\)   = ?

• 1]

  15

• 2]

  67/25

• 3]

  128/11

• 4]

  128/99

Let 0 < x < 1, then the correct inequality is = ?

• 1]

  \(x < \sqrt x < {x^2}\)

• 2]

  \(\sqrt x < x < {x^2}\)

• 3]

  \({x^2} < x < \sqrt x \)

• 4]

  \(\sqrt x < {x^2} < x\)

(98764 + 89881 + 99763 + 66342) ÷ (1186 + ? + 1040 + 1870) = 55

• 1] 2254
• 2] 2354
• 3] 2368
• 4] 2404
• 5] None of these

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

Simplify : \(\sqrt {3 + \frac{{33}}{{64}}} \div \sqrt {9 + \frac{1}{7}} \times  2\sqrt {3\frac{1}{9}}\)   = ?

• 1]

  45/256

• 2]

  \(1\frac{{17}}{{28}}\)

• 3]

  \(4\frac{3}{8}\)

• 4]

  \(2\frac{3}{{16}}\)

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

• 1]

  -16

• 2]

  \(\pm 16\)

• 3]

  16

• 4]

  16.2