The total number of even factors of 25 × 33 × 52 is:
We know that, any factor of the (25 × 33 × 52) can be expressed as 2a × 3b × 5c, where a ranges from 0 to 5, b ranges from 0 to 3 and c ranges from 0 to 2. Here, we need to find even factors of 25× 33× 52, so there has to be at least one factor of 2 in the given number. So, a will range from 1 to 5. As a result, a can take 5 values, b can take 4 values and c can take 3 values. ∴ Total number of even factors = 5 × 4 × 3 = 60
A container contains Alcohol and water in ratio of 4:3 and Capacity of Container is 28 lit. If half of the Container is replaced with 25 lit of water th...
A container holds 'x' liters of a mixture composed of liquids A and B in a 5:2 ratio. If 25% of this mixture is removed and then 6 liters of liquid B a...
Vessels A and B contain mixture of milk and water in the ratios 3:7 and 5:3 respectively. In what ratio should quantities of mixtures be taken from A an...
55% of the original 'a' liters of pure petrol is taken out from a container and replaced with 66 liters of Methanol, ensuring the total quantity of the ...
"In a mixture containing a total of 210 liters, the ratio of petrol to diesel is initially 3:2. A quantity 'p' liters of petrol and 1.5p liters of diese...
There are two buckets X and Y containing mixture of milk and water in which concentration of milk is (a-10)% and (a+15)%, respectively. They are mixed t...
A factory has a mixture containing 60% iron and 40% copper. If 20 kg of copper is added, resulting in a mixture that is 50% iron, what was the initial w...
There is a 154 litres mixture (soda + water), such that ratio of quantities of soda and water in it is 6:5, respectively. How much quantity of soda shou...
A jar contains a mixture of orange juice and water in the ratio of 4:1. 75 litres of the mixture was taken out and 25 litres of water was added to it. I...
A mixture contains milk and water in the ratio of 3:2 respectively. If 34 litres of milk and 34 litres of water are added to this mixture, then respecti...
