In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x²+ 2x – 15 = 0

II. y²+ 16y + 55 = 0

How many grams of water should be mixed in 9 grams of shaving lotion having 50% alcohol content so that the alcohol content in the lotion becomes 30%?

(49)¹⁵ – 1 is exactly divisible by: 

A wire is in the form of a circle of radius 98 cm. A square is formed out of the wire. What is the approximate length of a side of the square?

Direction: Study the information given below carefully and answer the questions given below.
Three companies A, B and C manufactured two types of bottles viz Steel and Copper. Total number of bottles manufactured by the company is 1000. The ratio between the number of copper bottles manufactured by A and the number of Steel bottles manufactured by B is 13: 17. The total number of Copper bottles manufactured by C is 164. The number of Copper bottles manufactured by B is 25 more than the same type of bottles manufactured by A. The 14.28 % of the number of Copper bottles manufactured by B is equal to the 1/9th of the total number of Steel bottles manufactured by C. The number of Steel bottles manufactured by A is 122 which is 21 less than the number of Copper bottles manufactured by the same company.

Find the average number of steel bottles manufactured by A, B and C. 

The average of 10 observations is 21. A new observation is included and the average of these 11 numbers is 1 less than the prevoius average. The 11^th observation is____

If $$ cosecθ + cotθ =p $$, then the value of  $${p^2-1}\over{p^2+1}$$ is:

Simplify the following expression.

$${\left({375+125} \right)^2-\left({125-375} \right)^2}\over 375×375-125×125$$