If a number leaves remainder 11 when divided by 18, what is the remainder when its cube is divided by 18?
Answer and explanation
Correct answer: 17
Step 1: For the cube, check (11^3=1331). Step 2: (1331=18\times73+17), so the remainder is 17. Step 3: In power questions, reduce remainders repeatedly to keep the calculation simple.
Frequently asked questions
What is the correct answer to this question?
17
Why is this the correct answer?
Step 1: For the cube, check (11^3=1331). Step 2: (1331=18\times73+17), so the remainder is 17. Step 3: In power questions, reduce remainders repeatedly to keep the calculation simple.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Euclid’s Division Lemma.
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