For the following questions answer them individually
In a $$\triangle$$ ABC, AB = BC, and P, Q and R are the mid points of the sides AB, BC and AC, respectively. If PR = 5 cm, then find the length of QR.
Two numbers are in the ratio of 5 : 7. If 6 be added to each, the ratio becomes 3 : 4.
Find the numbers.
During the first year, the population of a town increased by 12%.The next year, due to some contagious disease, it decreased by 8%. At the end of the second year, the population was 64,400. Find the population of the town at beginning of the first year.
If the 9-digit number 83P93678Q is divisible by 72, then what is the value of $$\sqrt{p^{2}+ Q^{2} + 12}$$?
Three circles of radius 4 cm are kept touching each other. The string is tightly tied around these three circles. What is the length of the string?
Select the correct passive form of the given sentence.
The department conferred a scholarship to Kailash.
Select the correct indirect form of the given sentence.
Madhurima explained, “I am planning to quit my graduation.”
Select the most appropriate ANTONYM of the underlined word.
The Government ruthlessly decided to force its citizens to pay taxes even during famine.
Select the most appropriate option that can substitute the underlined segment in the given sentence.
Mother ordered John to switch on the light as it was time to sleep.
