CLASS 10TH - MATH UNIT TEST SOLVED PREM SIR
UNIT TEST – X MATHS (SET-B) 📘 UNIT TEST – X MATHS (SET-B) Solved by Prem Sir 📞 Contact: 6200409895 Q1. Find the HCF of smallest prime and smallest composite numbers. (2) Baccho ❤️, sabse chhoti prime number hoti hai 2 aur composite hoti hai 4 . Dono ka HCF nikalte hain: HCF(2, 4) = 2 ✅ Yani sahi uttar hai: 2 Q2. Prove that 5 + √3 is an irrational number. (5) Maan lo 5 + √3 rational hai. Toh 5 + √3 = a/b ⇒ √3 = a/b - 5 ⇒ rational ban gaya 😵 Par baccho, √3 to irrational hota hai! Galat maan liya. ✅ Isiliye 5 + √3 bhi irrational hai . Proved! Q3. Solve: x + 20y = 1000 and x + 26y = 1180 Chalo subtract karte hain: (x + 26y) - (x + 20y) = 180 ⇒ 6y = 180 ⇒ y = 30 Ab y = 30 ko kisi bhi eqn mein daalo: x + 20×30 = 1000 ⇒ x = 400 ✅ Final Answer: x = 400, y = 30 Q4. Show that 6ⁿ never ends with zero where n is a natural number. (3) Baccho, kisi bhi number ke last mein 0 tabhi aata hai jab usme 2 aur 5 dono ho. 6 = 2×3...