( √5 – 2)^2 = x – √80
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1
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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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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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Solve : 128.43 + 30.21 + ? = 173
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4
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If \(\frac{a}{b}{ \text{ + }}\frac{b}{a}{ \text{ = 2,}}\) then the value of (a - b) is = ?
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5
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A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed:
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6
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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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7
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If x + y + z = 0, then x3 + y3 + z3 + 3xyz is equal to = ?
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8
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What number must be added to the expression 16a2 - 12a to make a perfect square ?
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9
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5907 – 1296 / 144 = x * 8.0
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10
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(? - 968) / 79 * 4 = 512
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