\(\left\{ {\left( {\sqrt {72} - \sqrt {18} } \right) \div \sqrt {12} } \right\}\) is equal to = ?
\(\sqrt 6\)
\(\frac{{\sqrt 3 }}{2}\)
\(\frac{{\sqrt 2 }}{3}\)
\(\frac{{\sqrt 6 }}{2}\)
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1
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64^12 / 4^15 = 64^x
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2
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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?
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3
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Simplification of \(\frac{{{{\left( {3.4567} \right)}^2} - {{\left( {3.4533} \right)}^2}}}{{0.0034}} = ?\)
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4
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If \(\left( {a + \frac{1}{a}} \right) = 6, then \left( {{a^4} + \frac{1}{{{a^4}}}} \right)\) = ?
Solution |
5
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Simplify : \({ \text{8}}\frac{1}{2} - \left[ {3\frac{1}{4} + \left\{ {1\frac{1}{4} - \frac{1}{2}\left( {1\frac{1}{2} - \frac{1}{3} - \frac{1}{6}} \right)} \right\}} \right]\)
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6
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If the sum of two numbers is 22 and the sum of their squares is 404, then the product of two numbers is = ?
Solution |
7
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If \(x = \sqrt 3 { \text{ + }}\sqrt 2 { \text{,}} \) then the value of \({x^3} - \frac{1}{{{x^3}}}\) is?
Solution |
8
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The value of \(\frac{{25 - 5\left[ {2 + 3\left\{ {2 - 2\left( {5 - 3} \right) + 5} \right\} - 10} \right]}}{4} = ?\)
Solution |
9
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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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10
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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 = ?
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