For the following questions answer them individually
Simplify the expression
$$\left(36 p^{2}+49 q^{2}\right)\left(6p+7q \right)\left(6p -7q\right)$$
A retailer offers a discount scheme on shirts, that is, buy 3, get 2 free. What is the discount percentage?
A can complete a piece of work in 12 days, and B can complete the same work in 36 days. In how many days will both, together, complete the work?
A pupil multiplied a figure by $$\frac{3}{5}$$ rather than $$\frac{5}{3}$$, What is the percentage error in the calculation?
If x + y + z = 0, then what will be the value of $$\left(\frac{x^{2}}{yz}\right) + \left(\frac{y^{2}}{zx}\right) + \left(\frac{z^{2}}{xy}\right)$$?
The marked price of every item being sold by a wholesaler was ₹300. The wholesaler was offering a stock-clearance sale under which, for every three items paid for, one item was being given free. In addition to this, a further 10% discount on the amount payable on the ‘Buy 3, Get 1 free’ scheme price was being offered to anyone making purchases worth more than ₹10,000. Ramesh made purchases for which this amount payable was ₹18,000. What was the effective percentage discount that was offered to Ramesh during this transaction?
The average age of a group is increased by 4 years when a person of whose age is 32 years was replaced by a person whose age is 56. Find the number of people in the group
If $$mx^{m} - nx^{n} = 0$$ then what is the value of $$\frac{1}{x^{m} + x^{n}} + \frac{1}{x^{m} - x^{n}}$$ in terms of $$x^{n}$$
70% of students in a class are girls and 70% of the girls have chosen soccer as their favourite sport. If 98 girls have chosen soccer as their favourite sport, what is the total number of students in the class?
Study the given table carefully to answer the question that follows.
The following table gives the information about the populations of five different cities in the year 2020.
In city R, among the children, the ratio of boys to girls was 2 : 3 and in city P, among the children, the ratio of boys to girls was 5 : 4. What was the total number of girls (among the children) in city P and city R together?