CTET Paper I (Classes I to V) Nov 2012 Solved Paper

Concept:When dividing a number, the remainder is the part left over after subtracting the largest multiple of the divisor that is less than or equal to the dividend.Explanation:To find the remainder when $121012$ is divided by $12$, we perform the division. First, note that $12 \times 10000 = 120000$. Subtract from $121012$ to get $1012$. Next, $12 \times 84 = 1008$. Subtract from $1012$ to get $4$. So the quotient is $10000 + 84 = 10084$, and the remainder is $4$. Alternatively, use the divisibility test for $12$: a number is divisible by $12$ if it is divisible by both $3$ and $4$. Check by $4$: the last two digits are $12$, which is divisible by $4$, so remainder for $4$ is $0$. Check by $3$: sum of digits $1+2+1+0+1+2 = 7$, not divisible by $3$, so remainder is $7 \mod 3 = 1$ for $3$. But the combined remainder when dividing by $12$ is not simply the product; direct division is simpler.The remainder is $4$, as shown above.Answer:The remainder is $4$. Correct option: D.