For the following questions answer them individually
What is the sum of digits of the least number. which when divided by 15, 18 and 24 leaves the remainder 8 in each case and is also divisible by 13?
A shopkeeper marks his aoods at a price such that after giving a discount of 25 % he gains 20% . If the cost price of the article is ₹ 460, what is its marked price?
If $$(x - 5)^3 + (x - 6)^3 + (x - 7)^3 = 3 (x - 5) (x - 6) (x - 7)$$, then what is the value of $$x$$?
A shopkeeper sold two articles for ₹ 9471 each. On one, he gained 23% and on the other, he lost 23%. What is the overall percentage gain or loss?
In a class of 50 students. 40% are girls. The average weight of the boys is 62 kg and that of the girls is 58 kg. What is the average weight (in kg) of the whole class?
The radius of a cylinder is increased by 150 cm and its height is decreased by 20 cm. What is the percentage increase in its volume?
The value of $$\left[ \frac{\sin^2 24^\circ+\sin^2 66^\circ}{\cos^2 24^\circ+\cos^2 66^\circ} + \sin^2 61^\circ + \cos 61^\circ \sin 29^\circ \right]$$ is equal to:
A, B and C started a business by investing ₹ 55,000, ₹ 65,000 and ₹ 75,000 respectively. A is a working partner and gets 20% of the profit and the remaining is distributed in the proportion of their investments. If total profit is ₹ 87,750, what is the share of A?