Instructions

For the following questions answer them individually

Question 1

Arrange the fractions $$\frac{3}{4},\frac{5}{12},\frac{13}{16},\frac{16}{29},\frac{3}{8}$$ ascending order of magnitude

Question 3

Determine the value of 'a' which satisfies the equation $$9^{\sqrt{a}}+40^{\sqrt{a}}=41^{\sqrt{a}}$$

Question 4

5 bottles cost as much as 2 bags. The cost of 15 bottles and 4 bags is Rs 2,000. What is the price (in Rs.) of a single bag?

Question 5

If any two sides of a triangle are divided by the line in the same ratio, then the line must be _________________ to the third side of the triangle.

Question 6

If the radius of a circumscribed circle in an equilateral triangle is 14 cm. Then what will be the radius (in cm) of the inscribed circle?

Question 8

The ratio of two numbers is 6 : 11 and their difference is 65. What will be the smaller number among both the numbers?

Question 9

In a mixture of milk and water, there is 19% milk. If the quantity of milk in the mixture is 437 mililitres, then what is the total quantity (in millilitres) of mixture?

Question 10

If in the population of a town there is an increase of 44% in the first year and 75% in the second year, then what is the average rate of increase in the population?