Question

fill in the blanks with justification Q.1 a number divided by 17 leaves remainder 7. the least positive number to be subtracted from this number to make it divisible by 17 is ---------------- Q.2a number divide by 15 leaves remainder 6 the least positive number to be added to this number to make it divisible by 15 is ---- Q.3cube of any positive is of the form 9m, 9m+1 or 9m+8 for some integer m. this means that if the cube of a positive integer is divided by 9 the remainder will be -------------,------------- or ------------- Q.4in most of the questions containing the words largest ,greatest, highest, tallest maximum ,most etc. we determine -------------------- true or false with justifcation .Q.1 the product of thee consecutive positive integers is divisible by 6 Q.2 the square of any positive integer can be of the form 3m+2 where m is a natural number Q.3 if a positive integer is of the form 3q+1, q being a natural number ,its square can be in any form other 3m+1 for some integer m Q.4 every positive integer can be written in the form 4q+2 where q is an integer. Q5 the product of two consecutive positive integers is divisible by 2

Answer 1

3. remainders are o,1 and 8, 1.1080