Ncert Solutions Class 11 Chapter 5 Linear Inequalities Miscellaneous Exercise Question 14

14. IQ of a person is given by the formula (IQ={MA over CA}×100), where MA is mental age and CA is chronological age. If (80 ≤ IQ ≤ 140) for a group of 12 years old children, find the range of their mental age.

Linear Inequalities

Miscellaneous Exercise

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Class 11

Linear Inequalities

Miscellaneous Exercise

1. Solve : (2le 3x-4le 5).

2. Solve : (6≤-3(2x-4)<12).

3. Solve : (-3≤4-{7x over 2}≤18).

4. Solve : (-15<{3(x-2) over 5}≤0).

5. Solve : (-12<4-{3x over -5}≤2).

6. Solve : (7≤{(3x+11)over 2}≤11).

7. Solve : (5x+1>-24) (,5x-1<24 ) and represent the solution graphically on number line.

8. Solve : (2(x-1){<}x+5,) (3(x + 2) > 2-x ) and represent the solution graphically on number line.

9. Solve : (3x-7>2(x-6))(,6-x>11-2x ) and represent the solution graphically on number line.

10. Solve : (5(2x-7)-3(2x+3)≤0) (,2x+19≤6x+47) and represent the solution graphically on number line.

11. A solution is to be kept between 68° F and 77° F. What is the range in temperature in degree Celsius (C) if the Celsius / Fahrenheit (F) conversion formula is given by (F={9 over 5}C+32 ) ?

12. A solution of 8% boric acid is to be diluted by adding a 2% boric acid solution to it. The resulting mixture is to be more than 4% but less than 6% boric acid. If we have 640 litres of the 8% solution, how many litres of the 2% solution will have to be added?

13. How many litres of water will have to be added to 1125 litres of the 45% solution of acid so that the resulting mixture will contain more than 25% but less than 30% acid content?

14. IQ of a person is given by the formula (IQ={MA over CA}×100), where MA is mental age and CA is chronological age. If (80 ≤ IQ ≤ 140) for a group of 12 years old children, find the range of their mental age.