A seller makes an offer of selling certain articles that can be described by the equation x=25-2y where x is the price per unit and y denotes of the number of units. the cost price of the article is Rs 10 per unit. the maximum quantity that can be offered in a single deal to avoid loss is
Correct
Given x=25-2y
10=25-2y(for at par)
2y=15
y=7.5
Incorrect
Given x=25-2y
10=25-2y(for at par)
2y=15
y=7.5
Question 15 of 25
15. Question
1 points
If kx-4=(k-1)x, then which of the following is true?
Correct
if kx-4=(k-1)x
kx-4=kx-x
x=4
Incorrect
if kx-4=(k-1)x
kx-4=kx-x
x=4
Question 16 of 25
16. Question
1 points
If 3/x+y + 2/x-y = -1 and 1/ x+y – 1/x-5 = 4/3 then x,y is
A cottage industry produces a certain no. of pottery articles in a day. it was observed on a particular day that the cost of each article was two more than thrice the no. of articles produced on that day. if total cost of production on that day was Rs 800 the no. of articles produced was
Correct
Incorrect
Question 18 of 25
18. Question
1 points
The triangle formed by line x + 2 y = 3, 2x – y = 1 and y=0 is
Correct
Incorrect
Question 19 of 25
19. Question
1 points
If the sides of an equilateral triangle are shortened by 3 units, 4 units and 5 units and a right triangle is formed, then the sides of an equilateral triangle is
Correct
Incorrect
Question 20 of 25
20. Question
1 points
The lines 3x-4y+5=0, 7x-8y+5=0, 4x+5y-45=0 are
Correct
Given, 3x-4y+5=0…….. 1
7x-8y+5=0……… 2
4x+5y-45=0…….. 3
by solving 1&2 we get x=5,y=5
which satisfy the 3rd eqn
so lines are concurrent
Incorrect
Given, 3x-4y+5=0…….. 1
7x-8y+5=0……… 2
4x+5y-45=0…….. 3
by solving 1&2 we get x=5,y=5
which satisfy the 3rd eqn
so lines are concurrent
Question 21 of 25
21. Question
1 points
The equation of line passing through the point of intersection of the lines y=3 and x+y =0 and parallel to the 2x-y=4 is
Correct
Given, y=3……… 1 and x+y=0………. 2
by solving 1&2 we get x= -3 and y= 3
intersection points of lines is (-3,3)
given lines 2x-y=4
it parallel line eqn 2x-y=k……..A
it passes through (-3,3)
2x -3 – 3 = k
k = -9= substitute in eqn A
then, 2x-y+9 = 0
Incorrect
Given, y=3……… 1 and x+y=0………. 2
by solving 1&2 we get x= -3 and y= 3
intersection points of lines is (-3,3)
given lines 2x-y=4
it parallel line eqn 2x-y=k……..A
it passes through (-3,3)
2x -3 – 3 = k
k = -9= substitute in eqn A
then, 2x-y+9 = 0
Question 22 of 25
22. Question
1 points
If 3 x-y = 2, 5x+ay=3 and 2x+y=3 are concurrent lines, then the value of a is
Correct
If 3 x-y = 2…….. 1
5x+ay=3…….. 2
and 2x+y=3…….. 3
by solving 1&3 we get x=1, y=1
intersection points of line is (1,1)
then, 5x+ay=3
5×1 + ax1 = 3
a = -2
Incorrect
If 3 x-y = 2…….. 1
5x+ay=3…….. 2
and 2x+y=3…….. 3
by solving 1&3 we get x=1, y=1
intersection points of line is (1,1)
then, 5x+ay=3
5×1 + ax1 = 3
a = -2
Question 23 of 25
23. Question
1 points
The no. of students in each section of a school is 36. after admitting 12 new students, 4 sections were started. if total no. of students in each section now is 30, than the no. of sections initially were
Correct
Incorrect
Question 24 of 25
24. Question
1 points
The equation x+5y = 33, x+y/x-y=13/3 has the solution x,y is
Correct
Incorrect
Question 25 of 25
25. Question
1 points
The value of k for which the system of equations kx+2y=5 and 3x+y=1 has no solution is