Instructions

For the following questions answer them individually

Question 2

$$\frac{1}{33}$$ of $$\frac{1}{66}$$ of $$\frac{1}{3}$$ of $$\frac{1}{66}$$ of 10000 of a number will be what percentage of that number ?

Question 3

What is value of $$(6x^2 - 5y^2)(6x^2 + 5y^2)$$, If $$x=\frac{1}{\sqrt{3}}$$ and $$y=\frac{1}{\sqrt{5}}$$ ?

Question 5

Angles of the triangle are in the ratio of 1:2:3. Choose the correct triangle for the given ratio.

Question 6

If the diameter of the two circles is 6 units and 10 units and a centre distance of 8 units. Calculate the number of common tangents that can be drawn to both the circle.

Question 7

A mixture of 240 litres of juice and water contains 15% water. How much more water (in litres) should be added to this so that the strength of water will become 25% in the new mixture?

Question 8

The sum of the present ages of a father and his son is 126 years. 8 years ago their respective ages were in the ratio of 7 : 4. After 7 years what will be the ratio of ages of father and son?

Question 9

The ratio of spirit and water in the two vessels is 5 : 1 and 3 : 7 respectively. In what ratio the liquid of both the vessels should be mixed such that a new mixture containing half spirit and half water is obtained?

Question 10

10 Consecutive numbers are given. If the average of the two numbers given in the middle is 13.5, then what is the sum of the first 6 numbers?