Simplify: $\dfrac{x+3}{x^{3}-1}\div\dfrac{3x+9}{x^{2}+x+1}$
$\dfrac{x+3}{(x-1)(x^{2}+x+1)}\times\dfrac{x^{2}+x+1}{3(x+3)}$
$=\dfrac{1}{3x-3}$
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Sasi purchased a house for ₹ 27,75,000 and spent ₹ 2,25,000 on its interior decoration. He sold the house to make a profit of 40%. What is the selling price of the house? |
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Simplify: (1350 $\div$ 15 - 5) $\div$ (47.5 - 15 x 2.5) |
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Choose the correct option to complete the alphabet letter series. AB_B, BC _ C, _AB_, AB _ B |
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What should come in place of the question mark in the following series? |
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Sum to n terms of an Arithmetic progression is 2n2 + n then eighth term is |
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a,b,c are said to be in Harmonic Progression if their reciprocals $\dfrac{1}{a},\dfrac{1}{b},\dfrac{1}{c}$ are in Arithmetic progression. What would be the value of x for which 3, x, 6 are in Harmonic Progression. |
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Value of $\sqrt{3.\sqrt{3.\sqrt[]{3.^{\sqrt{3....}}}}}$ |
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Introducing a girl, Raj said, "Her mother is the only daughter of my mother-in-law". How is Raj related to the girl? |
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A fraction is such that if the numerator is multiplied by 2 and the denominator is reduced by 4 we get $ \dfrac{10}{3} $, but if the numerator is increased by 6 and the denominator is doubled we get $ \dfrac{11}{4} $, what is the fraction? |
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A boy cut a sector containing an angle of 140° from a circle of radius 15 cm and he folded the sector into a cone. What is the curved surface area of the cone {$ \pi=\dfrac{22}{7} $} |
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