Muft Shiksha
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Subjects
Class 10MathematicsReal NumbersEuclid’s Division LemmaHardLevel 3
0 reads0 ratings0 helpful

If an integer leaves remainder 3 when divided by 4, what is the remainder when (n^2+n+1) is divided by 4?

Advertisement

Answer and explanation

Correct answer: 1

Step 1: Replace (n) by its remainder 3. Step 2: The remainder of (n^2+n+1) comes from (3^2+3+1=13), and 13 leaves remainder 1 when divided by 4. Step 3: In polynomial-like expressions, substituting the remainder makes the solution direct.

Related tags

Euclids-Division-LemmaPolynomial-ExpressionRemainder

Frequently asked questions

What is the correct answer to this question?

1

Why is this the correct answer?

Step 1: Replace (n) by its remainder 3. Step 2: The remainder of (n^2+n+1) comes from (3^2+3+1=13), and 13 leaves remainder 1 when divided by 4. Step 3: In polynomial-like expressions, substituting the remainder makes the solution direct.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Euclid’s Division Lemma.

Was this question useful?

No ratings yetWrite a review / Rate this question

Student Reviews

No published reviews yet.

KEEP PRACTISING

10 more MCQs
  1. 1In Euclid’s Division Lemma, if (a) and (b) are positive integers, which condition is correct for the remainder (r)?
  2. 2If (35=6q+r) and (0 \le r < 6), what are the values of (q) and (r)?
  3. 3Which is the standard form of Euclid’s Division Lemma?
  4. 4If a number leaves remainder (0) when divided by (9), in which form can it be written?
  5. 5What possible remainders can occur when an integer is divided by (5)?
  6. 6What is the remainder when (52) is divided by (7)?
  7. 7Which condition is necessary for (b) in Euclid’s Division Lemma?
  8. 8If (a=17) and (b=4), which is the correct Euclidean form (a=bq+r)?
  9. 9How many possible remainders are there when a number is divided by (3)?
  10. 10If a number is odd, what remainder will it leave when divided by (2)?
Advertisement