A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:
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1
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\(1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{7} + \frac{1}{{14}} + \frac{1}{{28}}\) is equal to = ?
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2
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If \(\frac{1}{3} + \frac{1}{2} + \frac{1}{x}{ \text{ = 4}}\) then x = ?
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3
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\({ \text{If }}x = \frac{1}{{2 + \frac{1}{2}}}{ \text{ then }}\frac{1}{x} = ?\)
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4
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The simplification of \(\frac{5}{{3 + \frac{3}{{1 - \frac{2}{3}}}}}, = ?\)
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5
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The value of \(\frac{{\sqrt {80} - \sqrt {112} }}{{\sqrt {45} - \sqrt {63} }} = ?\)
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6
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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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7
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If x + y = 2a, then the value of
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8
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The value of \({ \text{5}}\frac{1}{3} \div 1\frac{2}{9} \times \frac{1}{4} \left( {10 + \frac{3}{{1 - \frac{1}{5}}}} \right)\) = ?
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9
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\(\frac{{{{\left( {a - b} \right)}^2} - {{\left( {a + b} \right)}^2}}}{{ - 4a}}{ \text{ = }}\frac{x}{y}\) On simplifying the given equations, which of the following equations will be obtained ?
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10
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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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