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Grade: 11
        A is a set of +ve  integers such that when divided by 2,3,4,5 & 6 leaves remainders 1,2,3,4 & 5 respectively. How many integer(s) b/w 0 and 100 belongs to set A?
6 years ago

Answers : (1)

Srishti Nanduri
38 Points
							let a = 2q+1

a= 3q+2 
a= 4q+3
a= 5q+4
a= 6q+5

Now in the equation a= 6q+5,

Let q=1

than a = 6q +5 = 6*1 +5 = 11 

If we replace a with eleven with ALL the above equations .. we can infer that 11 satisfies all the equations... So ELEVEN IS THE ONLY NO BETWEEN 0 AND 100 WHICH BELONGS TO SET A...... I hope it helps
						
6 years ago
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