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For a certain frequency distribution, the value of Mean is 101 and Median is 100. Find the value of Mode.
Concept: Median of Grouped Data
Find the mode from the following information:
L = 10, h = 2, f0 = 58, f1 = 70, f2 = 42.
Concept: Mode of Grouped Data
Solve the following simultaneous equations: `7/(2X+1)+13/(Y+2)=27,13/(2X+1)+7/(Y+2)=33`
Concept: Equations Reducible to a Pair of Linear Equations in Two Variables
If the point A(3, 2) lies on the graph of the equation 5x + ay = 19, then find a.
Concept: Algebraic Methods of Solving a Pair of Linear Equations > Substitution Method
On the first day of the sale of tickets of a drama, in all 35 tickets were sold. If the rates tickets were Rs. 20 and Rs. 40 per ticket and the total collection was Rs, 900, find the number of tickets sold of each rate.
Concept: Simple Situational Problems
A motorboat whose speed in still water is 18 km/h, takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream.
Concept: Algebraic Methods of Solving a Pair of Linear Equations > Cross - Multiplication Method
Choose correct alternative for the following question.
To draw graph of 4x + 5y = 19, Find y when x = 1.
Concept: Determinant of Order Two
Find the value of `|(5,3),(-7,-4)|`.
Concept: Determinant of Order Two
Find the value of the following determinant.
Concept: Determinant of Order Two
If 15x + 17y = 21 and 17x + 15y = 11, then find the value of x + y.
Concept: Pair of Linear Equations in Two Variables
Find the value of a, b, c in the following quadratic equation : 2x2 ‒ x ‒ 3 = 0
Concept: Quadratic Equations
Solve the following quadratic equation by using formula method: 5m2 + 5m – 1 = 0
Concept: Nature of Roots of a Quadratic Equation
Solve the following quadratic equation by factorization method : `x^2-5x+6=0`
Concept: Solutions of Quadratic Equations by Factorization
Solve the equation by using the formula method. 3y2 +7y + 4 = 0
Concept: Nature of Roots of a Quadratic Equation
Solve the following quadratic equation by factorization method : `3x^2-29x+40=0`
Concept: Solutions of Quadratic Equations by Factorization
State whether the given equation is quadratic or not. Give reason.
`5/4m^2 - 7 = 0`
Concept: Quadratic Equations
If one of the roots of the quadratic equation x2 - 11x + k = 0 is 9, then find the value of k
Concept: Application of Quadratic Equation
Factorise : m2 + 5m + 6.
Concept: Solutions of Quadratic Equations by Factorization
Alka spends 90 % of the amount sent to her and saves Rs. 120 per month. Find the amount sent to her per month.
Concept: Application of Quadratic Equation
Form a quadratic equation if the roots of the quadratic equation are `2 + sqrt(7)` and `2 - sqrt(7)`
Concept: Roots of a Quadratic Equation
