Short cut
Possible values for x are (1, 2, 3, 4, 5, 6), similarly for y and z.
Minimum value of every integer will be 1, so we have to distribute remaining 5(p) to the 3(q) integers.
so answer will be (p+1).(p+2)...upto (q-1) terms/1.2...upto (q-1) terms
= 6.7/1.2 = 21
The sum of 2 non zero positive integers is 16. Positive difference of the squares of these 2 integers is a perfect square non zero integer. Difference of these 2 non zero integers is
How many numbers between 1000 and 99999 (including these 2 numbers too) can be formed by using the numbers 1, 3, 5, 8, 9 ( Repetition of any integer is allowed)
Sum of a natural number x and its reciprocal is equal to the ratio of product of two numbers first 2 more than the number x, second 1 less than the number x and the number x. x is