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Algebraic Equations

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

MathematicsIf (a_{3n+2}=148), (a_{n+2}=52), and (d=12), what is (n)?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 66Expert MathematicsIn an AP (a_{10}+a_{30}=500) and (a_{18}+a_{38}=820). What is (a_{58})?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 66Expert MathematicsIf (a_n=17n-11), what is (k) for (a_{7k}-a_{3k}=408)?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 66Expert MathematicsIf (a_{2n+1}=89), (a_{n+1}=41), and (d=6), what is (n)?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 64Expert MathematicsIf (a_n=11n-5), what is (k) for (a_{4k}-a_k=198)?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 66Hard MathematicsIf in an AP (a_2=9) and (a_5+a_8=72), what is (a_{14})?Class 10Arithmetic Progressions (AP)Finding the $n$th term of an APLevel 64Hard MathematicsIf (3m,4m+2,6m-2) are in an arithmetic progression, what is the value of (m)?Class 10Arithmetic Progressions (AP)Introduction to APs and common difference.Level 61Hard MathematicsIf (x, x+6, 3x-2) are in an arithmetic progression, what is the correct value of (x)?Class 10Arithmetic Progressions (AP)Introduction to APs and common difference.Level 63Hard MathematicsIf (a=4) and (a+d=13), what is the value of (d)?Class 10Arithmetic Progressions (AP)Introduction to APs and common difference.Level 62Medium MathematicsSolving (x+2y=18) and (4x-y=9) by substitution, what is the value of (y)?Class 10Pair of Linear Equations in Two VariablesAlgebraic methods: Substitution method and Elimination method.Level 57Expert MathematicsRam is (6) years older than Shyam. After (4) years, the sum of their ages will be (50). What is Ram's present age?Class 10Pair of Linear Equations in Two VariablesAlgebraic methods: Substitution method and Elimination method.Level 57Expert MathematicsIf (4x+5y=7) and (8x-5y=29), what is the value of (3x-y)?Class 10Pair of Linear Equations in Two VariablesAlgebraic methods: Substitution method and Elimination method.Level 57Expert MathematicsIf \(3x+4y=26\) and \(5x-2y=22\), what is the value of (2x+y)?Class 10Pair of Linear Equations in Two VariablesAlgebraic methods: Substitution method and Elimination method.Level 57Expert MathematicsIf (2x-3y=1) and (x=5), what is the value of (y)?Class 10Pair of Linear Equations in Two VariablesAlgebraic methods: Substitution method and Elimination method.Level 55Easy MathematicsA shopkeeper bought x items for 720 rupees. If he had received 3 more items for the same total amount, the cost per item would have been 40 rupees less. What is the value of x?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Expert MathematicsThe diagonal of a rectangle is 25 cm, and its length is 17 cm more than its breadth. What is the breadth of the rectangle?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Expert MathematicsThe denominator of a fraction is 4 more than its numerator. If 2 is added to both the numerator and denominator, the fraction becomes \(\frac{3}{5}\). What is the original numerator?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Expert MathematicsWhen the side of a square field is increased by 4 m, its area increases by 96 m². What was the original side length?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Expert MathematicsA bus covers a distance of 180 km. If its speed is reduced by 15 km/h, the travel time increases by 1 hour. What was its original speed?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Medium MathematicsThe two perpendicular sides of a right triangle are \(x\) cm and \((x+7)\) cm, and its hypotenuse is \((x+8)\) cm. What is the length of the smallest side?Class 10Quadratic EquationsWord Problems and ApplicationsLevel 42Medium