IB ACIO 20 February 2021 Evening Shift

A completes $$ \frac{1}{8} $$ part of a given work in 8 days while B completes $$\frac{2}{5}$$ part of the same work in 16 days. If A and B work together, then what will be the number of days taken by them to finish the work?

A chord, at a distance of 1 unit from the centre, has a length equal to $$k^{2}sin(\frac{\pi}{4})$$ and the radius of the circle is $$( -k)sin(\frac{\pi}{3})$$. What is the value of k, if k is an integer?

Length of a rectangle is 7 cm more than its breadth and length of diagonal of the rectangle is 13 cm. What is the area of a square having perimeter same as the perimeter of given rectangle?

If 'b' is the mean proportion to 'a' and 'c' with a common ratio $$\sqrt[3]{\frac{2}{3}}$$ then $$(a-b)^{3}:(b-c)^{3}$$ is:

Find the average of first 50 natural numbers.

The price of petrol rises by 60%. By what percentage should one minimise the use of petrol so that the expenditure towards petrol is not affected?

Population of a city is 148000 and out of which 78000 are males and 40 percent population is literate. If 55 percent males are literate, then what is the number of females who are literate?

A sum of Rs. 20000 is invested for three years at compound interest. The rate of interest for first year is 20 percent per annum, for second year it is 15 percent per annum and for third years it is 10 percent per annum. Find the interest for the third year.

A = 1200 - X where X is a real number. A > 0 and A is divisible by 3, 5, 7 and 11. The sum of the two largest possible value of X is:

A bus is travelling at a constant speed of 48 Km/hr. What is the distance travelled by bus from 1:20 pm to 3:40 pm?