Quiz Discussion

If \(\left( {a + \frac{1}{a}} \right) = 6,    then \left( {{a^4} + \frac{1}{{{a^4}}}} \right)\)   = ?

• 1] 1154
• 2] 1158
• 3] 1160
• 4] 1164

The value of \(\frac{{{{\left( {x - y} \right)}^3} + {{\left( {y - z} \right)}^3} + {{\left( {z - x} \right)}^3}}}{{{{\left( {{x^2} - {y^2}} \right)}^3} + {{\left( {{y^2} - {z^2}} \right)}^3} + {{\left( {{z^2} - {x^2}} \right)}^3}}}\)       is = ?

• 1]

  0

• 2]

  1

• 3]

  \({\left[ {2\left( {x + y + z} \right)} \right]^{ - 1}}\)

• 4]

  \({\left[ {\left( {x + y} \right)\left( {y + z} \right)\left( {z + x} \right)} \right]^{ - 1}}\)

Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed ?

• 1] 256
• 2] 432
• 3] 512
• 4] 640
• 5] None of these

If 45 - [28 - {37 - (15 - *)}]  then * equal to?

• 1] -29
• 2] -19
• 3] 19
• 4] 29

572.0 / 26 * 12 – 200 = (2)^x

• 1]

  8

• 2]

  4

• 3]

  6

• 4]

  10

Given that ( 12 + 22 + 32 + .......... + 102 ) = 385, then the value of ( 22 + 32 + 42 + .......... + 202 ) is equal to = ?

• 1] 770
• 2] 1155
• 3] 1540
• 4] (385)2

The simplification of \(\frac{5}{{3 + \frac{3}{{1 - \frac{2}{3}}}}}, = ?\)

• 1]

  5

• 2]

  5/3

• 3]

  5/12

• 4]

  3/4

The value of \(\frac{{\sqrt {80} - \sqrt {112} }}{{\sqrt {45} - \sqrt {63} }} = ?\)

• 1]

  3/4

• 2]

  \(1\frac{3}{4}\)

• 3]

  \(1\frac{1}{3}\)

• 4]

  \(1\frac{7}{9}\)

If x + y + z = 0, then x3 + y3 + z3 + 3xyz is equal to = ?

• 1] 0
• 2] 6xyz
• 3] 12xyz
• 4] xyz

If a - b = 3 and a2 + b2 = 29, find the value of ab = ?

• 1] 10
• 2] 12
• 3] 15
• 4] 18