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Question
All 115 students in a class play football or cricket or both . 65 play cricket and 60 play football. How many students play both ?
15
10
20
25
ANSWER : 2
Descrption
<pre>1st term = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>(</mo><mn>1</mn><mo> - </mo><mi>a</mi><msup><mo>)</mo><mn>2</mn></msup></math> = (1 - a) (1 - a) 2nd term = 1 - a 3rd term = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>(</mo><mi>a</mi><mo> - </mo><mn>1</mn><msup><mo>)</mo><mn>2</mn></msup></math> = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>{</mo><mo> - </mo><mo>(</mo><mn>1</mn><mo> - </mo><mi>a</mi><mo>)</mo><msup><mo>}</mo><mn>2</mn></msup></math> = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>(</mo><mn>1</mn><mo> - </mo><mi>a</mi><msup><mo>)</mo><mn>2</mn></msup></math> = (1 - a)(1 - a) So, the L.C.M. <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>(</mo><mn>1</mn><mo> - </mo><mi>a</mi><msup><mo>)</mo><mn>2</mn></msup></math> </pre>
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