\({ \text{If }}\left( {{n^r} - tn + \frac{1}{4}} \right)\) be a perfect square, then the values of t are = ?
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\(\sqrt {\frac{{{{\left( {0.03} \right)}^2} + {{\left( {0.21} \right)}^2} + {{\left( {0.065} \right)}^2}}}{{{{\left( {0.003} \right)}^2} + {{\left( {0.021} \right)}^2} + {{\left( {0.0065} \right)}^2}}}}\)
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2
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If (2a+b)/(a+4b)=3 , then find the value of (a+b)/(a+2b)
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3
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\(\left( {\frac{{785 \times 785 \times 785 + 435 \times 435 \times 435}}{{785 \times 785 + 435 \times 435 - 785 \times 435}}} \right)\) simplifies to = ?
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4
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A sum of Rs. 1360 has been divided among A, B and C such that A gets 2/3 of what B gets and B gets 1/4 of what C gets. B's share is:
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5
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The value of \(\frac{5}{{1\frac{7}{8}{ \text{of 1}}\frac{1}{3}}} \times \frac{{2\frac{1}{{10}}}}{{3\frac{1}{2}}}{ \text{ of 1}}\frac{1}{4} = ?\)
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6
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5 - [4 - {3 - (3 - 3 - 6)}] is equal to:
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7
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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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8
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\({ \text{If }}x = \frac{1}{{2 + \frac{1}{2}}}{ \text{ then }}\frac{1}{x} = ?\)
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9
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If \(\frac{{x + 1}}{{x - 1}}{ \text{ = }}\frac{a}{b} \) and \(\frac{{1 - y}}{{1 + y}}{ \text{ = }}\frac{b}{a}{ \text{,}} \) then the value of \(\frac{{x - y}}{{1 + xy}}\) = ?
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10
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If \(\frac{1}{3} + \frac{1}{2} + \frac{1}{x}{ \text{ = 4}}\) then x = ?
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