For what value of * the statement = 1 is true?
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1
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If \(a = \frac{{\sqrt 5 + 1}}{{\sqrt 5  1}} \) and \(b = \frac{{\sqrt 5  1}}{{\sqrt 5 + 1}},\) the value of \(\left( {\frac{{{a^2} + ab + {b^2}}}{{{a^2}  ab + {b^2}}}} \right)\) is ?
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2
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The smallest natural number which is a perfect square and which ends in 3 identical digits lies between ?
Solution 
3
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Given that \(\sqrt 3 = 1.732{ \text{,}} \) the value of \(\frac{{3 + \sqrt 6 }}{{5\sqrt 3  2\sqrt {12}  \sqrt {32} + \sqrt {50} }}\) is ?
Solution 
4
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The value of \(\frac{{1 + \sqrt {0.01} }}{{1  \sqrt {0.1} }}\) is close to = ?
Solution 
5
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While solving a mathematical problem, Samidha squared a number and then subtracted 25 from it rather than the required i.e., first subtracting 25 from the number and then squaring it. But she got the right answer. What was the given number ?
Solution 
6
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\( \root 3 \of {\sqrt {0.000064} } = ?\)
Solution 
7
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A man born in the first half of the nineteenth century was x years old in the year x2. He was born in ?
Solution 
8
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The approximate value of \(\frac{{3\sqrt {12} }}{{2\sqrt {28} }} \div \frac{{2\sqrt {21} }}{{\sqrt {98} }}\) is ?
Solution 
9
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The square root of \({ \text{0}}{ \text{.}}\overline { \text{4}} \) is ?
Solution 
10
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\(9{x^2} + 25  30x\) can be expressed as the square of = ?
Solution 
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