2025 · Q43
There are two natural numbers m and n (m > n). When m is divided by 12, it leaves a remainder 4. When n is divided by 12, it leaves a remainder 6. Which of the following statements is/are correct?
- IThe remainder when (m + n) is divided by 12 is 10.
- IIThe remainder when (m - n) is divided by 12 is 10.
Select the correct answer using the code given below :
Elementary MathematicsNumber System
- AI only
- BII only
- CBoth I and II
- DNeither I nor II
Explanation
m + n = 12(λ+t) + 10 leaves remainder 10 on division by 12, so (I) is true. m − n = 12(λ−t) − 2 = 12(λ−t−1) + 10 also leaves remainder 10, so (II) is true. Hence both statements hold, option (c).