IB ACIO 18 February 2021 Morning Shift

In 87659_21 what is the least number that can be filled in blank to make the number divisible by 11

Find the volume of a sphere with diameter as 21 cm. (The value of π is 22/7)

The ratio of two numbers a and b is 7 : 15, respectively. Their least common multiple is 840. What is (b + a): (b — a)?

The marks of 5 students are 25, 35, 45, 50, 15. Calculate the average marks.

The table shows expenditure and income of a firm in various months. In which month was ratio of savings to income maximum.

The ratio of two numbers is 3 : 5 and their LCM is 42 greater than their HCF. What is the value of the larger number?

25 percent of a number when subtracted from 100, gives the number itself. Find the number?

Find the total surface area of cube whose volume is $$64cm^{3}$$.

The ratio of the length of the parallel sides of a trapezium is 3 : 2. The shortest distance between them is 15 cm. If the area of the trapezium is 1350 sq. cm, then find the difference of the lengths of the parallel sides.

Simplify the following.
$$\left[ \left( 1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right) \left( 1-\frac{1}{4} \right)\cdot\cdot\cdot\left(1-\frac{1}{100}\right) \right]^{-0.5}$$