Skip to content

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

RELATED QUESTIONS

Divisibility

Class 9 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIn the proof of (\sqrt{3}), if (p) is not divisible by (3), why does (p^2=3q^2) create conflict?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsIf n² is divisible by 3 for an integer n, which statement about n must be true?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Hard MathematicsIn the proof of (\sqrt{3}), if (p) is not divisible by (3), what conflict occurs with (p^2=3q^2)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsIf \(\sqrt{3}\) is assumed to be \(\frac{p}{q}\) in lowest terms, what conclusion follows from \(p^2=3q^2\)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsA student believes that the statement “If the square of an integer is divisible by 3, then the integer is also divisible by 3” is false. Which statement correctly removes this misconception?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Medium MathematicsIn the proof of (\sqrt{3}), why can we write (p=3k) from (p^2=3q^2)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsA student claims that if \(\sqrt{3}=\frac{p}{q}\), where \(p\) and \(q\) are coprime integers, then \(p^2=3q^2\) proves only that \(p\) is divisible by 3. What is the correct improvement to the argument?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 17Medium MathematicsA student claims that if the square of an integer is divisible by 2, then the integer itself is divisible by 2. How is this statement useful in proving the irrationality of \(\sqrt{2}\)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 16Medium MathematicsAman assumes that ext{\(\sqrt{3}=\frac{p}{q}\)}, where ext{\(p\)} and ext{\(q\)} are coprime. On squaring, he gets ext{\(p^2=3q^2\)}. Aman says, “ ext{\(3\mid p^2\)} does not necessarily imply ext{\(3\mid p\)}.” What is the correct evaluation of Aman’s statement?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsIf (r^2=3s^2), what is true about (r^2)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsA student says that if \(\sqrt{3}=\frac{p}{q}\), where \(p\) and \(q\) are integers and \(q\ne0\), then \(p^2=3q^2\) proves only that \(p\) is divisible by 3. What is the correct next conclusion in this argument?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsWhich statement is the key conclusion in the proof by contradiction that \(\sqrt{3}\) is irrational?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsIf (p^2) is divisible by (3) what is the correct conclusion about (p)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsWhy is the equation a² = 3b² important in the proof of √3?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsFrom (b^2=3k^2), what conclusion follows about (b)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsFrom (a^2=3b^2), which conclusion is obtained about (a^2)?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsWhich of the following numbers is irrational and can be proved irrational using a contradiction based on divisibility by 3?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 19Easy MathematicsWhich is Q={x:x∈N, x<20, x is divisible by neither 2 nor 3}?Class 9Number SystemsLevel 3Medium MathematicsIf O={x:x∈N, x≤10, x is divisible by 2 or 5}, what is O?Class 9Number SystemsLevel 3Medium MathematicsIf G={x:x∈N, x is a common divisor of 18 and 24}, which set is G?Class 9Number SystemsGeneral chapter practiceLevel 2Easy