Two circles of radii 'r' units and '2r' units intersect each other in such a way that their common chord is of the maximum possible length. What is the area (in square units) of the region that is common to the two circles?
find digit sum(till you get single digit number )of the smallest element in set p.The smallest element in set p can be represented as(8^x(25^300),which consists of 604-609 digits,where x is a natural number.
Consider the set S ={1,2,3...1000}. How many arithmetic progressions can be formed from the elements of S that start with 1 and end with 1000 and have at least 3 elements?
x is a set of 3 digit divisors which gives same remainder when it divides 2 numbers which are 12714 and 13914 what is the maximum possible elements in x
Q- The number of factors of the square of a natural number is 105. The number of factors of the cube of the same number is 'F'. Find the maximum possible value of 'F'
Mandeep has to create a password having 5 distinct characters using at least 2 digits (from 7 to 9) and at least 2 English vowels (from A, E, I, O and U). No character other than digits from 7 to 9 and vowels of English alphabets are allowed in that password. If the password starts with a digit, then it must end with an alphabet and if it starts with an alphabet, then it must end with a digit. Find the number of possible passwords that Mandeep can create.
How many different ways can 15 identical apples to be distributed between R, M, B and H. If R cannot have more than 6 apples and M must have at least 3 apples.Please post your answer with the solution thanks