When a number is divided by 138 the remainder is 26. What will be the…
2025
When a number is divided by 138 the remainder is 26. What will be the remainder if the same number is divided by 23?
- A.
1
- B.
3
- C.
32
- D.
24
Attempted by 7 students.
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Correct answer: B
Answer: 3
Key idea: Represent the number as 138k + 26 because it leaves remainder 26 when divided by 138.
Since 138 = 23 × 6, rewrite the expression as 23 × (6k) + 26. Multiples of 23 contribute no remainder when dividing by 23, so the remainder is the remainder of 26 when divided by 23.
Compute 26 ÷ 23: 26 = 23 × 1 + 3.
Therefore the remainder is 3.