\({ \text{If }}x = \frac{1}{{2 + \frac{1}{2}}}{ \text{ then }}\frac{1}{x} = ?\)
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1
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David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross ?
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2
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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 = ?
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3
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Evaluate : \(\frac{{\left( {923 - 347} \right)}}{?} = 32\)
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4
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Simplify : \({ \text{10}}\frac{1}{8}{ \text{ of }}\frac{{12}}{{15}} \div \frac{{35}}{{36}}{ \text{ of }}\frac{{20}}{{49}}\)
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5
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The greatest 4 digit number which is a perfect square, is = ?
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6
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\(4\frac{4}{5} \div 6\frac{2}{5} = ?\)
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7
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572.0 / 26 * 12 – 200 = (2)^x
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8
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Simplify : \(1 - \left[ {1 - \left\{ {1 - \left( {1 - \overline {1 - 1} } \right)} \right\}} \right]\)
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9
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If \(\left( {x + \frac{1}{x}} \right) = 3,\) then \(\left( {{x^2} + \frac{1}{{{x^2}}}} \right)\) is = ?
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10
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If \( \left( {x + \frac{1}{x}} \right){ \text{ = }}\sqrt {13} { \text{,}} \) then the value of \(\left( {{x^3} - \frac{1}{{{x^3}}}} \right)\) is = ?
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