What is the compound interest(₹) on a sum of ₹46,000 for years at 15% per annum, interest being compounded annually (nearest to a ₹)?
If \(\sqrt{x} + \frac{1}{\sqrt{x}} = 2\sqrt{3}\), then what will be the value of \(x^4 + \frac{1}{x^4}\) ?
Chords AB and CD of a circle meet at point P (outside the circle), when produced. If AB = 9cm, PB =\(\frac{1}{3}\)AB and CD = 5 cm, then the length of PD (in cm) is:
By selling an article for ₹3,150, a shopkeeper earns 5% profit. For how much money should he sell the article in order to gain 8%?
Given that \(3\sqrt{3}x^3 - 8y^3 = (\sqrt{3}x + Ay)(3x^2 + By^2 + Cxy)\), the value of (A2 + B2 - C2) is:
If tan 30θ = sin 45° . cos 45° + cos 60° and 3θ is an acute angle, then what will be the value of sin 4θ?
\(\frac{\sqrt{3}}{2}\)
\(\frac{1}{\sqrt{2}}\)
\(\frac{1}{2}\)
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