\({ \text{If }}\left( {{n^r} - tn + \frac{1}{4}} \right)\) be a perfect square, then the values of t are = ?
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1
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64^12 / 4^15 = 64^x
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2
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If \(\frac{p}{a} + \frac{q}{b} + \frac{r}{c} = 1\) and \(\frac{a}{p} + \frac{b}{q} + \frac{c}{r} = 0\) where a, b, c, p, q, r are non-zero real numbers, then \(\frac{{{p^2}}}{{{a^2}}} + \frac{{{q^2}}}{{{b^2}}} + \frac{{{r^2}}}{{{c^2}}}\) is equal to = ?
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3
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Evaluate : \(\frac{{\left( {923 - 347} \right)}}{?} = 32\)
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4
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The greatest 4 digit number which is a perfect square, is = ?
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5
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What is the value of \(\frac{{\sqrt {24} + \sqrt {216} }}{{\sqrt {96} }} = ?\)
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6
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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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7
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5907 – 1296 / 144 = x * 8.0
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8
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Let 0 < x < 1, then the correct inequality is = ?
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9
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If \(\left( {4{b^2} + \frac{1}{{{b^2}}}} \right){ \text{ = 2,}} \) then \(\left( {8{b^3} + \frac{1}{{{b^3}}}} \right)\) = ?
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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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