What is the age of father and son ?
I. Sum of father's and son's ages is 45 years.
II. Five years ago, the product of their ages was four times the father's age at that time.
III. Father is 30 years older than his son.

None of the three statements can be dispensed with

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Anyone of the three statements can be dispensed with

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Any two of the three statements can be dispensed with

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Only III

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Solution

The correct option is A Anyone of the three statements can be dispensed with
$T h e r e a r e 2 u n k n o w n v a r i a b l e s, t h e f a t h e r s a n d t h e s o n s a g e . E a c h o f t h e f o l l o w i n g s t a t e m e n t s g i v e r e l a t i o n b e w e e n t h e 2 v a r i a b l e s . T o s o l v e f o r 2 u n k n o w s, w e r e q u i r e 2 e q u a t i o n s . I . e . w e c a n d i s p e n s e w i t h a n y o f t h e 3 e q u a t i o n s$

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What is the age of father and son ?I. Sum of father's and son's ages is 45 years.II. Five years ago, the product of their ages was four times the father's age at that time.III. Father is 30 years older than his son.

The correct option is A Anyone of the three statements can be dispensed withThereare2unknownvariables,thefathersandthesonsage.Eachofthefollowingstatementsgiverelationbeweenthe2variables.Tosolvefor2unknows,werequire2equations.I.e.wecandispensewithanyofthe3equations

What is the age of father and son ?
I. Sum of father's and son's ages is 45 years.
II. Five years ago, the product of their ages was four times the father's age at that time.
III. Father is 30 years older than his son.