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Olympiad Maths Question – Smart Solution Trick

⭐ Olympiad Mathematics Question With Solution ๐Ÿ“Œ Question If x + 1/x = 3 x^3 + 1/x^3 = 18 ✔ Solution (Step-by-Step Explanation) We know the identity: Given: x + 1/x = 3 Cube both sides: (x + 1/x)^3 = 3^3 Using identity: (x + 1/x)^3 = x^3 + 1/x^3 + 3(x + 1/x) Substitute the value: 27 = x^3 + 1/x^3 + 3(3) 27 = x^3 + 1/x^3 + 9 Therefore: x^3 + 1/x^3 = 18 ⭐ Final Answer x^3 + 1/x^3 = 18 ๐Ÿ”ฅ Why this is an important Olympiad trick? This question teaches how to solve cube identities without directly expanding powers. Such tricks save time in: Math Olympiad NTSE JEE / NEET School competitive tests ๐Ÿ“ Try Yourself (Bonus Practice) If x + 1/x = 4 Find: x^3 +1/x^3 = ? ๐Ÿ‘‰ Comment your answer on our Instagram page @krmath01 ๐Ÿ“š Follow for More Daily Problems Get daily math tricks, puzzles and Olympiad questions: ๐Ÿ”น Instagram: @krmath01 ๐Ÿ”น Website: krmath.blogspot.com  ๐Ÿ˜Š
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Math Olympiad Question: Solve 7x² = 49, then x² – 5 = ?

๐Ÿงฎ Math Olympiad Challenge – Question & Solution Question: If 7x² = 49, then what is x² – 5 =  ? Step-by-step Solution: Start with the given equation: 7x² = 49 Divide both sides by 7: x² = 7 Now subtract 5: x² – 5 = 7 – 5 = 2 ✅ Final Answer = 2 ๐Ÿ’ก Tip: This is a classic Olympiad-style problem that tests algebra basics with a twist! ๐Ÿ‘‰ Challenge: Can you solve it in less than 10 seconds without pen and paper? Comment your time below ๐Ÿ‘‡ ๐Ÿ“Œ Follow me on Instagram  @krmath for daily math challenges !

500k Views Question: Viral Puzzle Explained: X = 2, X – Y = 3 | What is 2Y = ?

๐Ÿง  Viral Puzzle: “Don’t use pen and paper” — Full Solution Explained A viral math puzzle is trending on Instagram, YouTube Shorts and Facebook Reels. Thousands of people are confused by this simple-looking question: X = 2   X – Y = 3   2Y = ? Many people answered quickly and got it wrong because the caption says **“Don’t use pen and paper”** which tricks the mind. ✔ Step-by-Step Solution 1️⃣ From the first equation: X = 2 2️⃣ Put the value of X in the second equation: X – Y = 3 2 – Y = 3 3️⃣ Solve for Y: 2 – Y = 3   –Y = 1   Y = –1 4️⃣ Now calculate 2Y: 2Y = 2 × (–1)   2Y = –2 ✅ Final Answer    2Y = –2   ❗ Why most people get it wrong ? Because the instruction **“don’t use pen and paper”** forces the brain to rush. This puzzle proves that even simple questions need logical and calm thinking. ๐Ÿ“Œ Conclusion This trending puzzle teaches us : “Logic matters more than speed.” Try sharing this puzzle with others and ...

Math Olympiad Question

Only 1% can solve this ๐Ÿ˜ณ๐Ÿง Are you smarter than a genius?Solve this Math Olympiad question & comment your answer ๐Ÿ‘‡Tag your friend who thinks they’re a math master! ๐Ÿงฎ

Math Olympiad Question – Solve for 32^x · 8^y

Question : Find the value of 32^x · 8^y if 5x + 3y = 3   Step-by-Step Solution Step-by-Step Solution: Given equation: 5 x + 3 y = 3 5x + 3y = 3 5 x + 3 y = 3 Write bases in powers of 2: 32 = 2 5 , 8 = 2 3 32 = 2^5, \quad 8 = 2^3 32 = 2 5 , 8 = 2 3 Substitute into the expression: 32 x ⋅ 8 y = ( 2 5 ) x ⋅ ( 2 3 ) y 32^x \cdot 8^y = (2^5)^x \cdot (2^3)^y 3 2 x ⋅ 8 y = ( 2 5 ) x ⋅ ( 2 3 ) y Simplify powers: = 2 5 x ⋅ 2 3 y = 2^{5x} \cdot 2^{3y} = 2 5 x ⋅ 2 3 y Combine exponents (since base is same): = 2 5 x + 3 y = 2^{5x + 3y} = 2 5 x + 3 y From the given equation: 5 x + 3 y = 3 5x + 3y = 3 5 x + 3 y = 3 Substitute: 2 5 x + 3 y = 2 3 2^{5x+3y} = 2^3 5 x + 3 y = 3 Simplify: = 8 ✅ Final Answer                    32^x · 8^y = 8

๐Ÿ“˜ Math Olympiad Question – Geometry Angle Problem

Question: If line m ∥ n, then find the value of x in the figure below Math Olympiad Geometry Problem with parallel lines solution : ๐Ÿ”Ž Step-by-Step Solution From the figure: - Left base angle = 2y - Right base angle = 84° - Outside angle at top = 3y - Inside angle at top = x Given: 3y = 84° ⇒ y = 84 ÷ 3 = 28° Now, left base angle = 2y = 56° Using triangle angle sum property: x + 56° + 84° = 180° x + 140° = 180° x = 40° ✅ Final Answer x = 40° ๐Ÿ”— Follow KRMath ๐Ÿ’ก For more daily math challenges and solutions: ๐Ÿ“– Blog: KRMath Blog ๐Ÿ“ธ Instagram: @krmath01 ๐ŸŽฅ YouTube: KRMath