Quantitative Aptitude - Arithmetic Ability Questions

The area of a circle is 346.5 cm2. Find its circumference (in cm).

If cot A = n/(n + 1) and cot B = 1/(2n + 1), then what is the value of cot (A + B)?

If  tan2θ + cot2θ = 2, then what is the value of 2sec θ cosec θ?

Mehdi can complete a work in 25 hours. If he is joined by Jahnavi who is 50% more efficient, in what time will they together finish the work?

Prahlad has done 1/3rd of a job in 30 days, Sarfaraz completes the rest of the job in 90 days. In how many days can they together do the job?

9 women can complete a work in 50 days. If more 6 women were added to them, how many days before the work can be completed?

There are three bottles of mixture of syrup and water of ratios 2:3, 3:4 and 7:5. 10 Litres of first and 21 Litres of second bottles are taken. How much quantity from third bottle is to be taken so that final mixture from three bottles will be of ratios 1:1.

When a number is increased by 69, it becomes 103% of itself. What is the number?