{"id":4580,"date":"2016-05-17T09:49:00","date_gmt":"2016-05-17T04:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-6\/"},"modified":"2016-05-17T10:32:19","modified_gmt":"2016-05-17T05:02:19","slug":"ncert-solutions-class-11-maths-exercise-1-6","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-6\/","title":{"rendered":"NCERT Solutions class-11 Maths Exercise 1.6"},"content":{"rendered":"

Exercise 1.6<\/strong><\/p>\n

1. If X and Y are two sets such that <\/strong> and <\/strong> find <\/strong><\/p>\n

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

<\/p>\n

<\/p>\n

<\/p>\n

\n

2. If X and Y are two sets such that <\/strong> has 18, X has 8 elements and Y has 15 elements; how many elements has <\/strong> ?<\/strong><\/p>\n

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

<\/p>\n

<\/p>\n

<\/p>\n

\n

3. In a group of 400 people, 250 can speak Hindi and 200 can speak English. How many people can speak both Hindi and English?<\/strong><\/p>\n

Ans. <\/strong>Let H be the set of people speaking Hindi and E be the set of people speaking English.<\/p>\n

and <\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

\n

4. If S and T are two sets such that S has 21 elements T has 32 elements and <\/strong> has 11 elements, how many elements does <\/strong> have?<\/strong><\/p>\n

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

<\/p>\n

<\/p>\n

\n

5. If X and Y are two sets such that X has 40 elements, <\/strong> has 60 elements and <\/strong> has 10 elements, how many elements does Y have?<\/strong><\/p>\n

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

<\/p>\n

<\/p>\n

<\/p>\n

\n

6. In a group of 70 people, 37 like coffee, 52 like tea and each person likes at least one of the two drinks. How many people like both coffee and tea?<\/strong><\/p>\n

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

<\/p>\n

<\/p>\n

<\/p>\n

\n

7. In a group of 65 people. 10 like both cricket and tennis. How many like tennis only and not cricket? How many like tennis?<\/strong><\/p>\n

Ans. <\/strong>Let C be the set of people who like cricket and T be the set of people who like tennis.<\/p>\n

Then and <\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

Therefore, number of people who like tennis are 35.<\/p>\n

Now number of people who like tennis only and not cricket = <\/p>\n

= 35 \u2013 10 = 25<\/p>\n

\n

8. In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. How many speak at least one of these two languages?<\/strong><\/p>\n

Ans. <\/strong>Let F be the set of people who speak French and S be the set of people who speak Spanish.<\/p>\n

Then and <\/p>\n

<\/p>\n

<\/p>\n

Therefore, Number of people who speak at least one of these two languages are 60.<\/p>\n","protected":false},"excerpt":{"rendered":"

Exercise 1.6 1. If X and Y are two sets such that and find Ans. Given: and 2. If X and Y are two sets such that has 18, X has 8 elements and Y has 15 elements; how many elements has ? Ans. Given: and 3. In a group of 400 people, 250 can … 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-4580","post","type-post","status-publish","format-standard","hentry","category-cbse-class-11","category-ncert-solutions"],"yoast_head":"\nNCERT Solutions class-11 Maths Exercise 1.6 | 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-exercise-1-6\/\" \/>\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 Exercise 1.6 | myCBSEguide\" \/>\n<meta property=\"og:description\" content=\"Exercise 1.6 1. If X and Y are two sets such that and find Ans. Given: and 2. If X and Y are two sets such that has 18, X has 8 elements and Y has 15 elements; how many elements has ? Ans. Given: and 3. In a group of 400 people, 250 can ... 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