Linear Inequalities : One Variable, Class 11 Mathematics NCERT Solutions

1. There will be total 20 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. Find the pairs of consecutive even positive integers both of which are smaller than 10 and their sum of more than 11

  (4, 8)

  (6, 8)

 (6, 8) and (4, 8)

  (6, 4)(4, 2)

Question 1 of 20

2. The solution to |3x – 1| + 1 < 3 is

 A

 B

 C

 D

Question 2 of 20

3. Which of the following is not a linear inequality?

 ax² + bx + c < 0

 ax + by + c ≥ 0

  ax + b < 0

 ax + by + c ≤ 0

Question 3 of 20

4. For a student to qualify for a certain course, the average of his marks in the permitted 3 attempts must be more than 60.

His first two attempts yielded only 45 and 62 marks respectively. What is the minimum score required in the third attempt to qualify?

 73

 91

 83

 89

Question 4 of 20

5. Which one of them is the solution for x, when x is integer and 12 x > 30?

  -1

  3

 1

 0

Question 5 of 20

6. Find the value of x which satisfies 5x – 3 < 7, where x is a natural number.

  {1, 2}

 1

 (1,∞ )

 [1,∞ )

Question 6 of 20

7. If -5x+2<7x -4, then x is

  <3/2

 <1/2

 >1/2

 >3/2

Question 7 of 20

8. The solution to 5x-3<3x+1, when x is an integer, is

  {x / xεZ, x<2}

 {x / xεZ, x=2}

 {x / xεZ, x>2}

  {x / xεZ, x≥2}

Question 8 of 20

9. The inequations -4x+1≥0 and 3-4x<0 have the common solutions given by

 {}

 {0,2}

  {-2,2}

 [-2,0]

Question 9 of 20

10. Solve the following linear inequality for x:

  x ≤ 34

  x > 34

  x ≥ 34

  x < 34

Question 10 of 20

11. A point P lies in the solution region of 3x – 7 > x + 3. So the possible coordinates of P are

 (6,-1)

 (-3,4)

 (2,5)

  (0,7)

Question 11 of 20

12.

 x≤5

 x≥5

 x=5

 5≤x

Question 12 of 20

13. If 5x+6<2x-3, then

 x>-3

  x<-3

  x>3

 x<3

Question 13 of 20

14. The region x > -3 lies

 To the left of the point (-3,0)

  Totally above the point (-3,0)

  Totally below the point (-3,0)

 To the right of the point (-3,0)

Question 14 of 20

15. If a < b then -a ______ - b

 –a < -b

  –a ≤ -b

 –a ≥ -b

 -a > -b

Question 15 of 20

16. The solution of inequality 4x + 3 < 5x + 7 when x is a real number is

 [-4, ∞)

 (-∞, 4)

  (-4,∞ )

 (-∞, 4]

Question 16 of 20

17. Two less than 5 times a number is greater than the third multiple of the number. So the number must be

  Greater than 0

 Greater than 1

 Less than 3

  Less than 2

Question 17 of 20

18. What values of x satisfy -6x>24 and x is an integer?

  all integers less than -4

 all integers greater than -4

 all integers greater than -6

 all integers less than -6

Question 18 of 20

19. The solution set of , where x is a real

 (-6, 6)

  (-∞, -6)

 (-∞, -6]

 (-6, ∞)

Question 19 of 20

20. Find the value of x when x is a natural number and 24x< 100.

 {5,6,……..∞}

 {1,2,3,4}

  {1,2,3,4,5}

 {0,1,2,3,4}

Question 20 of 20

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