Study the two figures given below and answer the question that follow: [Image: image] [Image: image] How many Physics professors belong to the age…

If \(10^m \times 1000 \times n = 75^{25} \times 25^{32} \times 32^{75}\), where n is not divisible by 10, then the value of m is

A person saves 10% of his salary every month. If his salary increases by 12% and the expenditure increases by 10%, then what will be the change in his saving per month?

How many three-digit numbers can be expressed as an integral power of 2?

X, Y and Z jump forward 4', 6' and 5', respectively. At 8 AM, they all land on mark 199'. How many times will they all land on the same mark (need not be at the same moment) between mark 195' and 1000', if all of them cross mark 1000' by 9 AM?

The top of a table is rectangular and its dimensions are \(6' \times 10'\). Two rectangular portions of the table top are painted in blue colour; both these portions have dimensions \(2.5' \times 8'\) and each of them has exactly two sides common with two edges of the table top. If the table is fixed to the ground and the remaining portion of the table top is painted in white, how many different patterns are possible when observed from above?