Number of trousers bought by C Options: A . &nbsp 67 B . &nbsp 43 C . &nbsp 53 D . &nbsp none of these

Answer: Option A : A From the given condition we can conclude :- N a m e N o . o f s h i r t s N o . o f t r o u s e r s S u m A R 90 B R P c 84 C 78 D Q 84 c E P Q 68 The possible values of P and Q are 37 and 31 or 61 and 7 respectively. 1 s t condition:- If B had 84 garments. Then:- N a m e N o . o f s h i r t s N o . o f t r o u s e r s S u m A 43 47 90 B 47 37 84 C 78 D 31 C E 37 31 68 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: - N a m e N o . o f s h i r t s N o . o f T r o u s e r s S u m A R 90 B R 37 C C 78 D 31 53 84 E 37 31 68 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 2 n d Condition:- N a m e N o . o f s h i r t s N o . o f t r o u s e r s S u m A R 90 B R 61 C C 78 D 7 77 84 E 61 7 68 Here, we are getting 77, which is not prime number. So, this case is not possible The possible values are shown below N a m e N o . o f s h i r t s N o . o f t r o u s e r s S u m A 67 23 90 B 23 61 84 C 11 67 78 D 7 11 18 E 61 7 68

Number of trousers bought by C

Question

Number of trousers bought by C

Options:

A . 67

B . 43

C . 53

D . none of these

Answer: Option A
:
A

From the given condition we can conclude :-
$\begin{matrix} N a m e & N o . o f s h i r t s & N o . o f t r o u s e r s & S u m A & R & 90 B & R & P & \frac{c}{84} C & 78 D & Q & \frac{84}{c} E & P & Q & 68 \end{matrix}$
The possible values of P and Q are 37 and 31 or 61 and 7 respectively.
$1^{s t}$ condition:-
If B had 84 garments. Then:-
$\begin{matrix} N a m e & N o . o f s h i r t s & N o . o f t r o u s e r s & S u m A & 43 & 47 & 90 B & 47 & 37 & 84 C & 78 D & 31 & C E & 37 & 31 & 68 \end{matrix}$

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: -
$\begin{matrix} N a m e & N o . o f s h i r t s & N o . o f T r o u s e r s & S u m A & R & 90 B & R & 37 & C C & 78 D & 31 & 53 & 84 E & 37 & 31 & 68 \end{matrix}$
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
$2^{n d}$ Condition:-
$\begin{matrix} N a m e & N o . o f s h i r t s & N o . o f t r o u s e r s & S u m A & R & 90 B & R & 61 & C C & 78 D & 7 & 77 & 84 E & 61 & 7 & 68 \end{matrix}$
Here, we are getting 77, which is not prime number. So, this case is not possible
The possible values are shown below
$\begin{matrix} N a m e & N o . o f s h i r t s & N o . o f t r o u s e r s & S u m A & 67 & 23 & 90 B & 23 & 61 & 84 C & 11 & 67 & 78 D & 7 & 11 & 18 E & 61 & 7 & 68 \end{matrix}$