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

The L.C.M. of two numbers is 4 times their H.C.F. The sum of L.C.M. and H.C.F is 125. If one of the numbers is 100, then the other number is-

A reduction of 20% in the price of rice enables a man to buy 5 kg more for Rs.100. The price of the rice before reduction was-

If (x +y) = 6 and x² + y² = 20 then find the value of (x - y) ².

The average price of 3 precious diamond-studded platinum thrones Rs. 106000000. If their prices are in the ratio 4 : 7 : 9. Find the price of the most expensive diamond?

60% boys are failed in History and 65% boys are failed in Geography while total 30% boys are failed in both the subjects. If total 1200 boys appeared in the examination then total how many boys are passed?

A train passes a 100 meters long platform in 28 seconds and a man standing on the platform in 20 seconds. The speed of the train is:

Find the sum of 30²+31²+32²+________+80²