For the following questions answer them individually
If $$\triangle ABC$$ is right angled at B, AB = 12 cm and $$\angle CAB = 60^{\circ}$$, determine the length of BC.
Find the number of diagonals of a regular polygon, sum of whose interior angles is $$2700^{\circ}$$.
In 5 years, the simple interest on an amount of Rs. X is $$\frac{2^{th}}{5}$$ of the principal. The rate of interest per annum is:
Find the value of given expression.
$$3 - (- 6) \left\{- 2 - 9 - 3\right\} \div 7\left\{1 + (- 2) (- 1)\right\}$$
The difference between the length of two parallel sides of a trapezium is 12 cm. The perpendicular distance between these two parallel sides is 60 cm. If the area of the trapezium is 1380 $$cm^{2}$$, then find the length of each of the parallel sides (in cm).
The ratio of the number of coins of 25 paise, 50 paise, Rs.2 and Rs.5 is 5 ∶ 4 ∶ 3 ∶ 1, respectively. If the total amount of the coins is Rs.285, then the difference between the number of 25 paise and Rs.5 coins is:
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