{"id":4597,"date":"2016-05-17T09:49:00","date_gmt":"2016-05-17T04:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-miscellaneous-5\/"},"modified":"2016-05-17T10:55:50","modified_gmt":"2016-05-17T05:25:50","slug":"ncert-solutions-class-11-maths-miscellaneous-5","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-miscellaneous-5\/","title":{"rendered":"NCERT Solutions class-11 Maths Miscellaneous"},"content":{"rendered":"

Miscellaneous Exercise<\/strong><\/p>\n

Solve the inequalities:<\/strong><\/p>\n

1. <\/strong><\/p>\n

Ans. <\/strong>Given: <\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

\n

2. <\/strong><\/p>\n

Ans. <\/strong>Given: <\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

\n

3. <\/strong><\/p>\n

Ans. <\/strong>Given: <\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

\n

4. <\/strong><\/p>\n

Ans. <\/strong>Given: <\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

\n

5. <\/strong><\/p>\n

Ans. <\/strong>Given: <\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

\n

6. <\/strong><\/p>\n

Ans. <\/strong>Given: <\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

\n

Solve the inequalities in Exercises 7 to 10 and represent the solution graphically on number line:<\/strong><\/p>\n

7. <\/strong><\/p>\n

Ans. <\/strong>Given: and <\/p>\n

and <\/p>\n

and <\/p>\n

<\/p>\n

\n

8. <\/strong><\/p>\n

Ans. <\/strong>Given: and <\/p>\n

and <\/p>\n

and <\/p>\n

and <\/p>\n

<\/p>\n

\n

9. <\/strong><\/p>\n

Ans. <\/strong>Given: and <\/p>\n

<\/p>\n

and <\/p>\n

and <\/p>\n

and <\/p>\n

\n

10. <\/strong><\/p>\n

Ans. <\/strong>Given: and <\/p>\n

and <\/p>\n

and <\/p>\n

and <\/p>\n

and <\/p>\n

<\/p>\n

\n

11. A solution is to be kept between <\/strong>F and <\/strong>F. What is the range of temperature in degree Celsius (C) if the Celsius \/ Fahrenheit (F) convension formula is given by <\/strong>?<\/strong><\/p>\n

Ans. <\/strong>Given: F < F < F.<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

Therefore, the range of temperature between C and C.<\/p>\n

\n

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 liters of the 8% solution, have many liters of the 2% solution will have to be added?<\/strong><\/p>\n

Ans. <\/strong>Let litre of 2% boric acid solution be added to 640 litres of 8% boric acid solution. Then,<\/p>\n

Total quantity of mixture = litres<\/p>\n

And Total boric acid in litres of mixture = = <\/p>\n

According to question,<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

and <\/p>\n

and <\/p>\n

<\/p>\n

Therefore 2% boric acid solution must be more than 320 liters but less than 1280 liters.<\/p>\n

\n

13. How many liters of water will have to be added to 1125 liters of the 45% solution of acid so that the resulting mixture will contain more than 25% but less than 30% acid content?<\/strong><\/p>\n

Ans. <\/strong>Let liters of water to be added to 1125 liters of 45% acid solution.<\/p>\n

Then Total quantity of mixture = liters<\/p>\n

According to question,<\/p>\n

and <\/p>\n

<\/p>\n

<\/p>\n

and <\/p>\n

and <\/p>\n

and <\/p>\n

and <\/p>\n

<\/p>\n

Therefore, minimum 562.5 liters and maximum 900 liters of water need to be added.<\/p>\n

\n

14. IQ of a person is given by the formula IQ = <\/strong> where MA is mental age and CA is chronological age. If <\/strong> for a group of 12 years old children, find the range of their mental age.<\/strong><\/p>\n

Ans. <\/strong>Given: and CA = 12<\/p>\n

IQ = <\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

Therefore, minimum MA is 9.6 and maximum 16.8.<\/p>\n","protected":false},"excerpt":{"rendered":"

Miscellaneous Exercise Solve the inequalities: 1. Ans. Given: 2. Ans. Given: 3. Ans. Given: 4. Ans. Given: 5. Ans. Given: 6. Ans. Given: Solve the inequalities in Exercises 7 to 10 and represent the solution graphically on number line: 7. Ans. Given: and and and 8. Ans. Given: and and and and 9. Ans. Given: … Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[47,281],"tags":[],"class_list":["post-4597","post","type-post","status-publish","format-standard","hentry","category-cbse-class-11","category-ncert-solutions"],"yoast_head":"\nNCERT Solutions class-11 Maths Miscellaneous | myCBSEguide<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-miscellaneous-5\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions class-11 Maths Miscellaneous | myCBSEguide\" \/>\n<meta property=\"og:description\" content=\"Miscellaneous Exercise Solve the inequalities: 1. Ans. Given: 2. Ans. Given: 3. Ans. Given: 4. Ans. Given: 5. Ans. Given: 6. Ans. Given: Solve the inequalities in Exercises 7 to 10 and represent the solution graphically on number line: 7. Ans. Given: and and and 8. Ans. Given: and and and and 9. Ans. Given: ... 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