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Find the largest four-digit number that is exactly divisible by 10, 12, 18, and 27.
The sum of two positive numbers is 33, and the sum of their squares is 689. Find the larger number.
If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is -.
At present, the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun's age will be 26 years. What is Deepak's age at present?
A river flows from West to East and on the way turns left and goes in a semi-circle around a hillock, and then turns left at right angles. In which direction is the river finally flowing?
A can complete a piece of work in 2 days, while B takes 3 days to complete the same work. C takes as long as A and B would take working together. How long will it take B and C to complete the work together?
Fresh grapes have 80% water and the remaining 20% is pulp. During the drying process, the grapes contained 60% water by weight. What is the percentage reduction in the weight of the original quantity of fresh grapes?
Three gold coins of weight 780gm, 840gm and 960gm are cut into small pieces, all of which have the equal weight. Each piece must be heavy as possible. If one such piece is shared by two persons, then how many persons are needed to give all the pieces of gold coins?