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

Solve 14 × 627 ÷ \(\sqrt {\left( {1089} \right)} \)   = (?)3 + 141

• 1] 5√5
• 2] (125)2
• 3] 25
• 4] 5
• 5] None of these

Assume that \(\sqrt {13} \) = 3.605(approximately) and \(\sqrt {130}\)  = 11.40(approximately) Find the value of: \(\sqrt {1.3}\) + \(\sqrt {1300}\)  + \(\sqrt {0.013}\)

• 1] 36.164
• 2] 36.304
• 3] 37.304
• 4] 37.164

If \(\left( {x - \frac{1}{x}} \right){ \text{ = }}\sqrt {21} { \text{,}} \)    then the value of \(\left( {{x^2} + \frac{1}{{{x^2}}}} \right) \left( {x + \frac{1}{x}} \right)\) is = ?

• 1] 42
• 2] 63
• 3] 115
• 4] 120
• 5] 125

If \( \left( {x + \frac{1}{x}} \right){ \text{ = }}\sqrt {13} { \text{,}} \)    then the value of \(\left( {{x^3} - \frac{1}{{{x^3}}}} \right)\)  is = ?

• 1] 26
• 2] 27
• 3] 30
• 4] 36

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]

  \( - 2\sqrt 2 \)

The value (1001)3 is = ?

• 1] 1003003001
• 2] 100303001
• 3] 100300301
• 4] 103003001

\(\left( {\frac{{785 \times 785 \times 785 + 435 \times 435 \times 435}}{{785 \times 785 + 435 \times 435 - 785 \times 435}}} \right)\)       simplifies to = ?

• 1] 350
• 2] 785
• 3] 1220
• 4] 1320

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

• 1]

  36.164

• 2]

  36.304

• 3]

  37.164

• 4]

  37.304

The simplification of \(\left( {\frac{{75983 \times 75983 - 45983 \times 45983}}{{30000}}} \right)\)yields the result = ?

• 1] 121796
• 2] 121866
• 3] 121956
• 4] 121966