The probabilities of solving a problem by three students A, B and C are  $$3\over 7$$, $$5\over 9$$ and $$1\over 5$$ respectively. The probability that problem will be solved is:

In a certain time, the ratio of a certain principle and interest obtained from it are in the ratio 10 : 3 at 10 % interest per annum. The number of years for which the money was invested is? 

In a circle with centre O, AB is the diameter. P and Q are two points on the circle on the same side of the diameter AB. AQ and BP intersect at C. If ∠POQ = 54°, then the measure of ∠PCA is:

The two vowels touch each other internally. Their radii are 2 cm and 3 cm. What will be the length of the largest chord of the bigger circle outside the inner circle?

Directions: Read the given pie and table carefully and answer the following questions.

The pie chart shows the percentage distribution of people who found COVID – 19 positive in four major cities of India from 1^st July to 31^st August 2020 and the table shows the number of people who tested positive in July from these cities.

If the recovery rate is 70% and the death rate is 10% of total tested cases in Chennai at the end of July. How many active cases are on 1st August, if no case is found on that day?

The price of sugar is increased by 20%. As a result, a family has to decrease its consumption by 20%. The expenditure of the family on sugar is decreased by

When x = 1, then value of |2x – 1| + |x – 3| will be -

The HCF and the LCM of two numbers are 5 and 120, respectively. If the sum of the two numbers is 55, then the sum of the reciprocals of these two numbers is equal to: