Question

# Number of trousers bought by C

A

67

B

43

C

53

D

none of these

Solution

## The correct option is C 67 From the given condition we can conclude :- NameNo.of shirtsNo.of trousersSumAR90BRPc84C78DQ84cEPQ68 The possible values of P and Q are 37 and 31 or 61 and 7 respectively. 1st condition:- If B had 84 garments. Then:- NameNo.of shirtsNo.of trousersSumA434790B473784C78D31CE373168 Now, we can use only 5 prime numbers. So, we put 43 (in the column of No. of trousers). We will not get a fifth prime number. So, this case is not possible If D had 84 garments. Then: - NameNo.of shirtsNo.of TrousersSumAR90BR37CC78D315384E373168 Now, we can use only 5 prime numbers. So, we put 53 (in the column of No.of shirts). We will not get fifth prime number. So, this is not possible 2nd Condition:- NameNo.of shirtsNo.of trousersSumAR90BR61CC78D77784E61768 Here, we are getting 77, which is not prime number. So, this case is not possible The possible values are shown below NameNo.of shirtsNo.of trousersSumA672390B236184C116778D71118E61768

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