Q.if x is a number such thta 0<x<_20 ,for how many values of x,20/x is an integer ?
Q.2 Company H distributed 4000$ & 180 pencils evenly amongst its employees,with each employee getting an equal no of dollars & equal integers of pencils.greatest no of employee that could work for that company H?
Q.3 what is the remainder when 13^17+17^13 is divided by 10 ?
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- Prime factorization of 20 = {2^2 , 5}, # of all positive factors = 3 * 2 = 6
- Greatest common factor of 4000 and 180 = 2^2, 5 = 20
- These kinds of questions unit digit is always repeating in a set of 4, thus 13^17 unit digit is 3^1 = 3 and 17^13 unit digits is 7^1 = 7. The sum is 10, the remainder is 0
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