Answer:
The number would be 11.
Step-by-step explanation:
Dividend = Divisor × Quotient + Remainder
Given,
"n" is divided by 3, the remainder is 2,
So, the number = 3n + 2,
"n" is divided by 5, the remainder is 1,
So, the number = 5n + 1
Thus, we can write,
3n + 2 = 5n + 1
-2n = -1
n = 0.5,
Therefore, number must be the multiple of 0.5 but is not divided by 3 or 5,
Possible numbers = { 1, 2, 4, 7, 8, 11...... }
Since, 1 and 4 do not give the remainder 2 after divided by 3,
And, 2, 7 and 8 do not give the remainder 1 after divided by 5,
Hence, the least positive integer number that gives remainder 2 and 1 after divided by 3 and 5 respectively is 11.
