For the following questions answer them individually
In 87659_21 what is the least number that can be filled in blank to make the number divisible by 11
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 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?
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.
$$\left[ \left( 1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right) \left( 1-\frac{1}{4} \right)\cdot\cdot\cdot\left(1-\frac{1}{100}\right) \right]^{-0.5}$$