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

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]

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

A body of 7300 troops is formed of 4 battalions so that 1/2 of the first, 2/3 of the second, 3/4 of the third and 4/5 of the fourth are all composed of the same number of men. How many men are there in the second battalion?

• 1] 1500
• 2] 1600
• 3] 1800
• 4] 2400

Simplify : \({ \text{8}}\frac{1}{2} - \left[ {3\frac{1}{4} + \left\{ {1\frac{1}{4} - \frac{1}{2}\left( {1\frac{1}{2} - \frac{1}{3} - \frac{1}{6}} \right)} \right\}} \right]\)

• 1]

  \(4\frac{1}{2}\)

• 2]

  \(4\frac{1}{6}\)

• 3]

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

• 4]

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

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

• 1]

  3/4

• 2]

  5/7

• 3]

  5/8

• 4]

  7/11

• 5]

  None of these

If x + y = 2a, then the value of

• 1] 2
• 2] 0
• 3] -1
• 4] 1

A teacher wants to arrange his students in an equal number of rows and columns. If there are 1369 students, the number of students in the last row are ?

• 1] 37
• 2] 33
• 3] 63
• 4] 47

If \(x = \sqrt 3 { \text{ + }}\sqrt 2 { \text{,}}   \) then the value of \({x^3} - \frac{1}{{{x^3}}}\)  is?

• 1]

  \(10\sqrt 2 \)

• 2]

  \(14\sqrt 2\)

• 3]

  \(22\sqrt 2\)

• 4]

  \(8\sqrt 2\)

\(\sqrt {\frac{{4\frac{1}{7} - 2\frac{1}{4}}}{{3\frac{1}{2} + 1\frac{1}{7}}} \div \frac{1}{{2 + \frac{1}{{2 + \frac{1}{{5 - \frac{1}{5}}}}}}}} \)     is equal to = ?

• 1] 1
• 2] 4
• 3] 3
• 4] 2

Evaluate : \(\frac{{\left( {923 - 347} \right)}}{?} = 32\)

• 1] 35
• 2] 20
• 3] 18
• 4] 15
• 5] 40