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Question

Number of trousers bought by C


Correct Answer
A

67

Your Answer
B

43

Your Answer
C

53

Your Answer
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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