on solving the inequalities 6x+y ≥ 18, x+4y ≥ 12, 2x+y ≥ 10, we get the following solutions
Correct
Incorrect
Question 4 of 25
4. Question
1 points
A car manufacturing company manufactures car of two types A and B. model A requires 150 men-hours for assembling, 50 men-hours for painting and 10 men-hours for checking and testing. model B requires 60 men-hours for assembling, 40 men-hours for painting and 20 men-hours for checking and testing. there are available 30000 men-hours for assembling, 13000 men-hours for painting and 5000 men-hours for checking and testing. express the above situation using linear inequalities. let the company manufacture x units of type A model of cars and y units of type B model of cars. then, the inequalities are.
Correct
Incorrect
Question 5 of 25
5. Question
1 points
The rules and regulations demand that the employer should employ not more than 5 experienced hands to one fresh one and this fact is represented ted by (taking experienced person as x and fresh person as y)
Correct
For the given Ques, we have to find the ratio of x and y. here x implies 5 fresh hands and y implies experienced hands
x/y ≤ 5/1
y ≥ x/5
Incorrect
For the given Ques, we have to find the ratio of x and y. here x implies 5 fresh hands and y implies experienced hands
x/y ≤ 5/1
y ≥ x/5
Question 6 of 25
6. Question
1 points
If a > 0 and b < 0, it follows that
Correct
since a is a positive number therefore its reciprocal i.e. 1/a will also be positive
since b is a negative number therefore its reciprocal i.e. 1/b will also be negative
so, we can conclude that 1/a is > 1/b
Incorrect
since a is a positive number therefore its reciprocal i.e. 1/a will also be positive
since b is a negative number therefore its reciprocal i.e. 1/b will also be negative
so, we can conclude that 1/a is > 1/b
Question 7 of 25
7. Question
1 points
the linear relationship between 2 variables in an inequality
Correct
the linear relationship between 2 variables in an inequality is given by ax+by ≤ c
Incorrect
the linear relationship between 2 variables in an inequality is given by ax+by ≤ c
Question 8 of 25
8. Question
1 points
The solution of the inequality (5-2x)/3 ≤ x/6-5 is
Correct
(5-2x)/3 ≤ x/6-5
10-4x ≤ x-30
40 ≤ 5x
x ≥ 8
Incorrect
(5-2x)/3 ≤ x/6-5
10-4x ≤ x-30
40 ≤ 5x
x ≥ 8
Question 9 of 25
9. Question
1 points
Solution space of the inequalities 2x + y ≤ 10 and x-y ≤ 5
( i ) includes the origin
( ii ) includes the points (4,3)
which one is correct?
Correct
Given 2x + y ≤ 10………1 and x-y ≤ 5……….2
by solving 1&2 we get x ≤ 5 and y ≤ 0
Incorrect
Given 2x + y ≤ 10………1 and x-y ≤ 5……….2
by solving 1&2 we get x ≤ 5 and y ≤ 0
Question 10 of 25
10. Question
1 points
On an average ,experienced person does 5 units of work while a fresh person does 3 units of work daily but the employer has to maintain the output of at least 30 units of work per day.the situation can be expressed as
Correct
Let experience person = x units work per day
fresh one = y units work per day
Therefore, 5x + 3y ≥ 30
Incorrect
Let experience person = x units work per day
fresh one = y units work per day
Therefore, 5x + 3y ≥ 30
Question 11 of 25
11. Question
1 points
Find the range of real values of x satisifying the inequalities 3x-2>7 and 4x-13>15
Correct
Given, 3x – 2> 7 = 3x > 9 = x > 3…………1
4x – 13 > 15 = 4x > 28 = x > 7…………..2
Hence, condition satisifying both 1&2
Incorrect
Given, 3x – 2> 7 = 3x > 9 = x > 3…………1
4x – 13 > 15 = 4x > 28 = x > 7…………..2
Hence, condition satisifying both 1&2
Question 12 of 25
12. Question
1 points
The union forbids employer to employ less than 2 experienced person ( x ) to each fresh person ( y ). This situation can be expressed as
Correct
Situation can be expressed by y ≤ x/2
Incorrect
Situation can be expressed by y ≤ x/2
Question 13 of 25
13. Question
1 points
The solution of the inequality 8x + 6 < 12x + 14 is
Correct
Given, 8x + 6 < 12x + 14
6-14 < 12x – 8x
-8 < 4x
x > -8/4
x > -2
solution set = -2, ∞
Incorrect
Given, 8x + 6 < 12x + 14
6-14 < 12x – 8x
-8 < 4x
x > -8/4
x > -2
solution set = -2, ∞
Question 14 of 25
14. Question
1 points
On the average, an experienced person does 7 units of work while a fresh person does 5 units of work daily but the employer has to maintain the output of at least 35 units of work per day.the situation can be expressed as
Correct
Let experience person = x units work per day
fresh one = y units work per day
Therefore, 7x + 5y ≥ 35
Incorrect
Let experience person = x units work per day
fresh one = y units work per day
Therefore, 7x + 5y ≥ 35
Question 15 of 25
15. Question
1 points
The common region in the graph of linear inequalities 2x + y ≥ 18, x + y ≥ 12 and 3x + 2y ≤ 34 is
Correct
Incorrect
Question 16 of 25
16. Question
1 points
An employer recruits experienced (x) and fresh work men (y) for his firm under the condition that he cannot employ more than 9 people. x and y can be related by the inequality
Correct
Incorrect
Question 17 of 25
17. Question
1 points
A factory manufactures 2 articles x and y. to manufacture article x, certain machine has to be worked for 1.5 Hr and in addition, a crafts man has to wok for 2 Hr. to manufacture article y, certain machine has to be worked for 2.5 Hr and in addition, a crafts man has to wok for 1.5 Hr. in a week, the factory can avail of 80 Hr of machine and 70 Hr of crafts man’s time. let x units of article x and y units of article y be produced, then the constrains are
Correct
Incorrect
Question 18 of 25
18. Question
1 points
Suppose a man needs a minimum of 50 units of carbohydrates, 40 units of proteins per month for good health. he is taking food at two places, viz, A and B, food at A contains 4&5 units of carbohydrates and proteins food at B contains 3&3 units of carbohydrates and proteins. express this in the form of a linear inequalities assuming the man is keeping good health
Correct
Let x and y represents carbohydrates and proteins
Incorrect
Let x and y represents carbohydrates and proteins
Question 19 of 25
19. Question
1 points
Inequalities are statements which shows an ________ relationship between any two or more given quantities
Correct
Incorrect
Question 20 of 25
20. Question
1 points
Graph can be employed to decide a common region by linear inequalities only when the maximum number of variables are
Correct
Incorrect
Question 21 of 25
21. Question
1 points
$If(r\u2013s{)}^{2}{r}^{2}+{s}^{2}then$
Correct
Incorrect
Question 22 of 25
22. Question
1 points
If x > y and z > 0 then
Correct
Incorrect
Question 23 of 25
23. Question
1 points
If x < y and a < b then
Correct
Incorrect
Question 24 of 25
24. Question
1 points
| 21-nx | = 21 and x = 6 then n =
Correct
Incorrect
Question 25 of 25
25. Question
1 points
Given, x € {-3, -4, -5, 6, 7 } then the solution set for x+1 > 5