\({ \text{If }}\left( {{n^r} - tn + \frac{1}{4}} \right)\) be a perfect square, then the values of t are = ?
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1
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\(\frac{1}{{1 + {2^{a - b}}}} + \frac{1}{{1 + {2^{b - a}}}}\) is equal to = ?
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2
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The simplification of \(\left( {\frac{{75983 \times 75983 - 45983 \times 45983}}{{30000}}} \right)\)yields the result = ?
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3
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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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4
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Simplify : \(\frac{{ - \frac{1}{2} - \frac{2}{3} + \frac{4}{5} - \frac{1}{3} + \frac{1}{5} + \frac{3}{4}}}{{\frac{1}{2} + \frac{2}{3} - \frac{4}{3} + \frac{1}{3} - \frac{1}{5} - \frac{4}{5}}}\)
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5
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Evaluate : \({{ - {{\left( {4 - 6} \right)}^2} - 3\left( { - 2} \right) + \left| { - 6} \right|} \over {18 - 9 \div 3 \times 5}}\)
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6
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Simplify : \({{{5 \over 3} \times {7 \over {51}}{ \text{ of }}{{17} \over 5} - {1 \over 3}} \over {{2 \over 9} \times {5 \over 7}{ \text{ of }}{{28} \over 5} - {2 \over 3}}}\)
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7
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Solve 4376 + 3209 - 1784 + 97 = 3125 + ?
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8
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\(\sqrt {0.00060516} \) is equal to = ?
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9
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853 + ? / 17 = 1000
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10
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The greatest 4 digit number which is a perfect square, is = ?
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