Three cubes with integer edge lengths are given. It is known that the sum of their surface areas is 564 \(cm^2\). Then the possible values of the sum of their volumes are________

The inequality…

Determine the greatest number among the following four numbers

The value of \((\log_3 30)^{-1}+(\log_4 900)^{-1}+(\log_5 30)^{-1}\) is

The number of points, having both co-ordinates as integers, that lie in the interior of the triangle with vertices (0, 0), (0, 31), and (31, 0) is

In a given village there are only three sizes of families: families with 2 members, families with 4 members and families with 6 members. The proportion of families with 2, 4 and 6 members are roughly equal. A poll is conducted in this village wherein a person is chosen at random…

Two small insects, which are x metres apart, take u minutes to pass each other when they are flying towards each other, and v minutes to meet each other when they are flying in the same direction. Then, the ratio of the speed of the slower insect to that of the faster insect is

A die is thrown three times and the sum of the three numbers is found to be 15. The probability that the first throw was a four is

An alloy P has copper and zinc in the proportion of 5: 2 (by weight), while another alloy Q has the same metals in the proportion of 3: 4 (by weight). If these two alloys are mixed in the proportion of a : b (by weight), a new alloy R is formed, which has equal contents of copper…