For the following questions answer them individually
If $$2x + 3y + 1 = 0$$, then what is the value of $$\left(8x^3 + 8 + 27y^3 - 18xy \right)$$?
A sum of ₹9500 amounts to ₹11495 in 2 years at a certain rate percent per annum, interest compounded yearly. What is the simple interest (in ₹) on the same sum for the same time and double the rate?
Table shows income (in ₹) received by 4 employees of a company during the month of December 2020 and all their income sources.
What is the ratio of salary of Varun to his income other than salary?
Simplify $$\sec^2 \alpha \left(1 + \frac{1}{\cosec \alpha}\right)\left(1 - \frac{1}{\cosec \alpha}\right)$$.
The value of $$3\frac{1}{5} \div 4\frac{1}{2} \text{of} 5\frac{1}{3} - \frac{1}{8} \div \frac{1}{2} \text{of} \frac{1}{4} + \frac{1}{4}\left(\frac{1}{2} \div \frac{1}{8} \times \frac{1}{4}\right)$$ is:
Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the right order to form a meaningful and coherent paragraph.
A. “Buy sweet apples, or none at all”, he instructed his servant.
B. A rich man sent his servant to an orchard to buy some apples .
C. The servant asked, “How am I to know that all of them are swe et if I taste just one?”
D. The owner of the orchard said to the servant, “All my apples are sweet. Try one.”
Select the most appropriate option to fill in the blank.
His ______ of the topic was so good that students had few doubts at the end of the class.