If 12 + 22 + 32 + . . . . . + p2 = \(\left[ {\frac{{{ \text{p}}\left( {{ \text{p}} + 1} \right)\left( {2{ \text{p}} + 1} \right)}}{6}} \right]{ \text{,}}\) then 12 + 32 + 52 + . . . . . + 172 is = ?
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Assume that \(\sqrt {13} \) = 3.605(approximately) and \(\sqrt {130}\) = 11.40(approximately) Find the value of: \(\sqrt {1.3}\) + \(\sqrt {1300}\) + \(\sqrt {0.013}\)
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Find the value of * in the following. \({ \text{1}}\frac{2}{3} \div \frac{2}{7} \times \frac{*}{7} = 1\frac{1}{4} \times \frac{2}{3} \div \frac{1}{6}\)
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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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98643 – 21748 = 51212 + ?
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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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6
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If \(x = \sqrt 3 { \text{ + }}\sqrt 2 { \text{,}} \) then the value of \({x^3} - \frac{1}{{{x^3}}}\) is?
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4848 / 24 * 11 - 222 = ?
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8
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64^12 / 4^15 = 64^x
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9
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The cost of 5 pendants and 8 chains is Rs. 145785. What would be the cost of 15 pendants and 24 chains ?
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10
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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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