In two alloys, the ratios of gold to silver are 5 : 2 and 3 : 4 (by weight). How many kilograms of the first alloy and of the second alloy should be mixed together to obtain 28 kg of a new alloy with equal contents of gold and silver?
A shopkeeper has 2721 apples, 3081 bananas, and 3501 peaches. He makes baskets of these Fruits such that the number of fruits of each type in a basket is either ‘x’ or 0. In the end, the shopkeeper is left with p (< x) fruits of each type. Find the maximum possible value of x.
There are 6 straight lines in a plane, no 2 of which are parallel and no 3 of which pass through the same point. If their points of intersection are joined, then thenumber of additional lines thus introduced is:
Let X be a four-digit number with exactly three consecutive digits being same and is a multiple of 9.How many such X’s are possible?
The number of days in a particular year, in which each of the months consists of exactly 30 days, is 360. If January 1 of this year is Monday, then what is the probability that a particular day chosen at random, has a date which is even and belongs to an even-numbered month is Monday?
