Simplify : \(\root 3 \of { - 2197} \,\times \) \(\root 3 \of { - 125} \,\,\div \) \(\root 3 \of {\frac{{27}}{{512}}} \) = ?
\(\frac{{492}}{7}\)
\(\frac{{520}}{3}\)
\(\frac{{554}}{7}\)
\(\frac{{571}}{5}\)
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1
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Simplification of \(\frac{{{{\left( {3.4567} \right)}^2} - {{\left( {3.4533} \right)}^2}}}{{0.0034}} = ?\)
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2
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Simplify : \(1 + {1 \over {1 + {2 \over {2 + {3 \over {1 + {4 \over 5}}}}}}}\)
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3
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A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
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4
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64^12 / 4^15 = 64^x
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5
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Evaluate : \(\frac{{\left( {923 - 347} \right)}}{?} = 32\)
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6
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The square root of \(\frac{{0.342 \times 0.684}}{{0.000342 \times 0.000171}} = ?\)
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7
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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 = ?
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8
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Let a = (4 ÷ 3) ÷ 3 ÷ 4, b = 4 ÷ (3 ÷ 3) ÷ 4, c = 4 ÷ 3 ÷ (3 ÷ 4), The maximum value among the above three is?
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9
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The simplified value of \(\frac{{\left( {1 + \frac{1}{{1 + \frac{1}{{100}}}}} \right)\left( {1 + \frac{1}{{1 + \frac{1}{{100}}}}} \right) - \left( {1 - \frac{1}{{1 + \frac{1}{{100}}}}} \right)\left( {1 - \frac{1}{{1 + \frac{1}{{100}}}}} \right)}}{{\left( {1 + \frac{1}{{1 + \frac{1}{{100}}}}} \right) + \left( {1 - \frac{1}{{1 + \frac{1}{{100}}}}} \right)}} = ?\)
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10
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If \(\left( {4{b^2} + \frac{1}{{{b^2}}}} \right){ \text{ = 2,}} \) then \(\left( {8{b^3} + \frac{1}{{{b^3}}}} \right)\) = ?
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