For the following questions answer them individually
In $$\triangle$$ABC, P is a point on BC such that BP : PC = 4 : 11. If Q is the midpoint of BP, then ar($$\triangle$$ABQ) : ar($$\triangle$$ABC) is equal to:
If $$\sqrt{x} + \frac{1}{\sqrt{x}} = \sqrt{6}, then x^2 + \frac{1}{x^2}$$ is equal to:
An article is sold for ₹ 288 after successive discounts of 25% and x%.If the marked price of the article is ₹ 480, what is the value of x?
Ina class of 50 students, 40% are girls. The average marks of the wholeclass are 64.4 and the average of the boys’ marks is 62. Whatis the average marksof the girls?
If $$2 \sin \theta = 5 \cos \theta, then \dfrac{\sin \theta + \cos \theta}{\sin \theta - \cos \theta}$$ is equal to:
The efficiencies of A, B and C are in the ratio of 5 : 3 : 2. Working together, they can complete a task in 21 hours. In how many hours will B alone complete 40% of that task?
The value of $$\sin^2 32^\circ + \sin^2 58^\circ - \sin 30^\circ + \sec^2 60^\circ$$ is equal to:
If a + b + c = 10 and ab + bc + ca = 32 then $$a^3 + b^3 + c^3 - 3abc$$ is equal to:
If a - b = 5 and ab = 6, then $$(a^3 - b^3)$$ is equal to:
Ina circle with centre O, an are ABC subtends an angle of $$110^\circ$$ at the centre of the circle. The chord AB is produced to a point P. Then $$\angle$$CBP is equal to:
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