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Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsThe first row of an auditorium has 25 seats, and each successive row has 3 more seats. While finding the total seats in 20 rows, Meera writes: \(S_{20}=\frac{20}{2}[2(25)+20(3)]\). What is the correct correction in her solution?Class 10Arithmetic Progressions (AP)Word problems based on APsLevel 70Expert MathematicsRiya saves money daily for 12 days. She saves ₹50 on the first day and ₹10 more on each successive day. She claims that her total saving is ₹2520. Which of the following analyses is correct?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 68Medium MathematicsThe first row of an auditorium has 24 seats, and each succeeding row has 4 more seats. A student says that the row with 100 seats is the 19th row because they used \(24+4n=100\). After correcting the student's error, which is the correct row?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 64Expert MathematicsAt the end of consecutive hours, the water level in a tank is recorded as 84.5 cm, 81.75 cm, 79.0 cm, ... A student says that the water level at the end of the 16th hour will be \(84.5-16\times2.75=40.5\) cm. Which is the correct analysis of the student's error?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 64Hard MathematicsA student claims that the sequence 4, 9, 14, 20 is an arithmetic progression because its terms are increasing. What is the student’s error?Class 10Arithmetic Progressions (AP)Introduction to APs and common difference.Level 63Hard MathematicsA student claims that the equation \(x^2+(m-4)x+m=0\) will have equal real roots only for \(m=4\), because the coefficient of \(x\) becomes zero. Which is the correct evaluation of this claim?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsA student says that the equation \(x^2-6x+9=0\) has two distinct real roots because its discriminant is not less than zero. What is the error in the student's statement?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIn the proof for (\sqrt{5}), if someone writes (a=25k) from (5\mid a^2), what is the mistake?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIn the proof for (\sqrt{3}), which shortcut from (p^2=3q^2) to (p=3k) is wrong?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIn the proof for (\sqrt{5}), after showing (a) is divisible by (5) from (a^2=5b^2), which conclusion would be immediately wrong?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsIn the proof for (\sqrt{2}), if someone writes (q^2=4k^2) after putting (p=2k), what is the correct correction?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Expert MathematicsWhich option gives an incorrect conclusion about (x) from (x^2=5y^2) in the proof for (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIf someone writes (q^2=4k^2) after putting (p=2k) in (p^2=2q^2), where is the mistake?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsIn the proof for (\sqrt{3}), if someone writes (a=3b) directly from (3\mid a^2), what is the mistake?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsWhich option is the most serious error in the proof of irrationality of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 17Expert MathematicsWhich statement is not correct in the proof for (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhich option shows an incorrect argument in the proof of irrationality of (\sqrt{2})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 16Expert MathematicsWhich option is a wrong conclusion in the proof for (\sqrt{5})?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsIf someone writes (p^2=3q^2), therefore (p=3q), why is this wrong?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard MathematicsWhich option is an incorrect step in the proof of (\sqrt{2}) being irrational?Class 10Real NumbersProof of irrationality of √2, √3, √5Level 18Hard