Instructions

For the following questions answer them individually

Question 1

If the value of $$\sqrt{5}=2.236$$ then calculate the value of $$\sqrt{405}-\frac{1}{2}\sqrt{80}-\sqrt{125}$$

Question 3

Determine the value of 'x' in $$x=\frac{1}{1+\sqrt{2}}+\frac{1}{\sqrt{2}+\sqrt{3}}+\frac{1}{\sqrt{3}+2}$$

Question 5

The figure shown below consists of the tangents at the extremities of any chord Choose the correct option given below

Question 6

Calculate the angle subtended by the chord at the point on the major arc if the radius and the chord of the circle are equal in length.

Question 8

The ratio of two numbers is 3 : 7. If their product is 1344, then what is the sum of both the numbers?

Question 9

P and Q invested some money in a business in the ratio of 4 : 7 respectively. After 6 months P withdraws his capital. If they receive profits in the ratio of 4 : 21, then for how many months did Q invest in the business?

Question 10

A boy buys 5 pencils at Rs 3 each, 3 erasers at Rs 2 each and 3 sharpeners at Rs 5 each. What is the average expenditure (in Rs) per article?