Read the following information carefully and answer the questions given below:
(i) There are five types of cards viz. A,B,C,D and E. There are three cards of each type. These are to be inserted in envelopes of three colours -Red, Yellow and Brown. There are five envelopes of each colour.
(ii) B, D and E type cards are inserted in red envelopes A, B and C type cards are to be inserted in yellow envelopes and C, D and E type cards are to be inserted in brown envelopes.
(iii) Two cards each of B and D type are inserted in red envelopes.
Which of the following combinations of types of cards and the number of cards and colour of envelope is definitely correct?

Options

A. A-2, B-2, C-1 : Yellow
B. C-2, D-1, E-2: Brown
C. C-1, D-2, E-2 : Brown
D. B-2, D-2, A-1: Red

Answer

B

Explanation

According to the given information:
From (i), we get
Five types of cards `rarr` A, B, C, D and E.
Each type `to` Three cards.
Envelopes `overset(" Colour")rarr` Red, Yellow and Brown.
Each colour `to` Five envelopes.
From (ii), we get
B, D and E type cards `overset("Inserted in")rarr` Red envelopes.
A, B and C type cards `overset("Inserted in")rarr` Yellow envelopes.
C, D and E type cards `overset("Inserted in")rarr` Brown envelopes.
From (iii), we get
Two B-type cards `overset("Inserted in")rarr` Red envelopes.
Two D-type cards `overset("Inserted in")rarr` Red envelopes.
One E-type card `overset("Inserted in")rarr` Red envelopes.
[`because` There are five red envelopes.]
Two remaining E-type cards `overset("Inserted in")rarr` Brown envelopes.
One D-type card `overset("Inserted in")rarr` Brown envelopes.
Two remaining C-type card `overset("Inserted in")rarr` Brown envelopes.
So, one B-type, one C-type and three A-type cards `overset("Inserted in")rarr` yellow envelopes.

By analysing the above table, we get of
`{:("Type of Cards","Number of Cards","Colour of Envelope") ,(C to,2 to,"Brown"),(D to, 1 to ,"Brown"),(E to, 2 to,"Brown"):}`