Inside a square PQRS, ΔQTR is an equilateral triangle. If RT and QS intersect at O, then ∠QOR is equal to-

The ratio of present ages of Shyam and Sohan is 7: 8 respectively. Four year hence this ratio becomes 9: 10 respectively. What is Shyam's present age in years?

A six digit number is formed by writing a three digit number two times consecutively. Find the least four digit number which can exactly divide this type of six digit number.

The greatest number, which when subtracted from 5834, gives a number exactly divisible by each of 20, 28, 32 and 35, is 

By mistake instead of dividing Rs.117 among A,B and C in the ration $${1\over2}:{1\over3}:{1\over4} $$. it was divided in the ratio of 2:3:4. Who gains the most and by how much?

A and B invest in a business in the ratio 3:2. If 5% of the total profit goes to charity and A’s share is Rs.855, the total profit is:

Ramesh can do a work in 21 days and Mahesh in 42 days. If they work on it together for 7 days, then what fraction of work is left?

Working for 10 hours per day, 6 men can build a wall in a certain number of days. By working for how many hours/minutes per day can 12 men build the wall in the same days?