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CAT 1991 Question-3




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Q.) ${ 2 }^{ 73 }-{ 2 }^{ 72 }-{ 2 }^{ 71 }$ is the same as

(a)${ 2 }^{ 69 }$

(b)${ 2 }^{ 70 }$

(c)${ 2 }^{ 71 }$

(d)${ 2 }^{ 72 }$

Solution : ${ 2 }^{ 73 }-{ 2 }^{ 72 }-{ 2 }^{ 71 }={ 2 }^{ 71 }({ 2 }^{ 2 }-{ 2 }^{ 1 }-1)$

= ${ 2 }^{ 71 }(4-{ 2 }-1)$

=${ 2 }^{ 71 } X 1={ 2 }^{ 71 }$

Hence , OPTION(C)




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