From a point P on the ground the angle of elevation of the top of a 10m tall building is 30°. A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from P is 45⁰. Find the length of the flagstaff (Take √3 = 1.732) 

Sanjana invested Rs. 15000 in SI at the rate of 2x% per annum for two years and the same amount is invested in CI at the same rate of interest if she received Rs.150 more interest than S.I, then find the rate of interest per annum?

If 5^a=3125, then the value of 5^(a-3) is:

A man sets out on a journey. He traveled for a total of 16 hours. He covered the first half of the distance at a speed of 40 km per hour and the second half at a speed of 60 km per hour. How much distance did he cover?

Rizwan has a box in which he kept red and blue marbles. The red marbles and blue marbles were in the ratio 5:4. After he Lost 5 red marbles the ratio become 10:9. How many marbles does he have now?

In the following questions two equations numbered I and II are given. You have to solve both the equations and ____
(A) x>y
(B) x≥y
(C) x<y
(D) x≤y
(E) x=y or the relationship cannot be established
I.\(20x^2 - x - 12 = 0\)
II.\(20y^2 + 27y + 9 = 0\)

A sum of money is to be divided among four persons in the ratio of 2:3:4:5. Out of the four, one person gets Rs. 200 more than the other and Rs.100 less than another. What is the sum?

C can do a work alone in 120 days. B is twice as efficient as C and A is thrice as efficient as B. In how many days can they work Finish together?