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Maths-

General

Easy

Question

In a test of Mathematics, there are two types of questions to be answered–short answered and long answered. The relevant data is given below

The total marks is 100. Students can solve all the questions. To secure maximum marks, a student solves x short answered and y long answered questions in three hours, then the linear constraints except $x greater or equal than 0 comma y greater or equal than 0$ , are

$5 x + 10 y \leq 180$ , $x \leq 10, y \leq 14$
$x + 10 y \geq 180$ , $x \leq 10, y \leq 14$
$5 x + 10 y \geq 180$ , $x \geq 10, y \geq 14$
$5 x + 10 y \leq 180$ , $x \geq 10, y \geq 14$

The correct answer is: $5 x plus 10 y less or equal than 180$ , $x less or equal than 10 comma y less or equal than 14$

Obviously $x less or equal than 10 comma y less or equal than 14$ and $5 x plus 10 y less or equal than 180$ .

Related Questions to study

The feasible region for the following constraints $L subscript 1 end subscript less or equal than 0 comma L subscript 2 end subscript greater or equal than 0 comma L subscript 3 end subscript equals 0 comma x greater or equal than 0 comma y greater or equal than 0$ in the diagram shown is

The feasible region for the following constraints $L subscript 1 end subscript less or equal than 0 comma L subscript 2 end subscript greater or equal than 0 comma L subscript 3 end subscript equals 0 comma x greater or equal than 0 comma y greater or equal than 0$ in the diagram shown is

Shaded region is represented by

Shaded region is represented by

For the following feasible region, the linear constraints are

For the following feasible region, the linear constraints are

parallel

The maximum value of objective function c=2x+3y in the given feasible region, is

The maximum value of objective function c=2x+3y in the given feasible region, is

For the following feasible region, the linear constraints except $x greater or equal than 0$ and $y greater or equal than 0$ , are

For the following feasible region, the linear constraints except $x greater or equal than 0$ and $y greater or equal than 0$ , are

For the solution of equation f(x)=0 by the Newton-Raphson method, the value of x tends to root of the equation highly when $f to the power of straight prime open parentheses x subscript n close parentheses$ is

For the solution of equation f(x)=0 by the Newton-Raphson method, the value of x tends to root of the equation highly when $f to the power of straight prime open parentheses x subscript n close parentheses$ is

parallel

The formula [where f(x_n–1) and f(x_n)have opposite sign at each step, $n space greater or equal than 1$ ] of method of False Position of successive approximation to find the approximate value of a root of the equation f(x)=0 is

The formula [where f(x_n–1) and f(x_n)have opposite sign at each step, $n space greater or equal than 1$ ] of method of False Position of successive approximation to find the approximate value of a root of the equation f(x)=0 is

By bisection method, the real root of the equation $x to the power of 3 end exponent minus 9 x plus 1 equals 0$ lying between x=2 and x=4 is nearer to

By bisection method, the real root of the equation $x to the power of 3 end exponent minus 9 x plus 1 equals 0$ lying between x=2 and x=4 is nearer to

A river is 80 feet wide. The depth d (in feet) of the river at a distance of x feet from one bank is given by the following table :

By Simpson’s rule, the area of the cross-section of the river is

A river is 80 feet wide. The depth d (in feet) of the river at a distance of x feet from one bank is given by the following table :

By Simpson’s rule, the area of the cross-section of the river is

parallel

If for n=4, the approximate value of integral $not stretchy integral subscript 1 end subscript superscript 9 end superscript x to the power of 2 end exponent d x$ by Trapezoidal rule is $2 open square brackets fraction numerator 1 over denominator 2 end fraction left parenthesis 1 plus 9 to the power of 2 end exponent right parenthesis plus alpha to the power of 2 end exponent plus beta to the power of 2 end exponent plus 7 to the power of 2 end exponent close square brackets$ , then

If for n=4, the approximate value of integral $not stretchy integral subscript 1 end subscript superscript 9 end superscript x to the power of 2 end exponent d x$ by Trapezoidal rule is $2 open square brackets fraction numerator 1 over denominator 2 end fraction left parenthesis 1 plus 9 to the power of 2 end exponent right parenthesis plus alpha to the power of 2 end exponent plus beta to the power of 2 end exponent plus 7 to the power of 2 end exponent close square brackets$ , then

If

Then

If

Then

The coefficient of correlation for the following data will be

The coefficient of correlation for the following data will be

parallel

Two lines of regression are 3x+4y-7=0 and 4x+y-5=0 Then correlation coefficient between x and y is

Two lines of regression are 3x+4y-7=0 and 4x+y-5=0 Then correlation coefficient between x and y is

If the variance of x=9 and regression equations are 4x-5y+33=0 and 20x-9y-10=0, then the coefficient of correlation between x and y and the variance of y respectively are

If the variance of x=9 and regression equations are 4x-5y+33=0 and 20x-9y-10=0, then the coefficient of correlation between x and y and the variance of y respectively are

From a random sample space, 5 students has been selected. Their marks in Maths and Statistics as given below

The rank correlation coefficient is

From a random sample space, 5 students has been selected. Their marks in Maths and Statistics as given below

The rank correlation coefficient is

parallel

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