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 colour of the envelope and the number of cards is definitely correct in respect of E-type cards?

Options

A. a. Red -1, Yellow - 2
B. b. Yellow - 1, Brown-2
C. c. Red - 2, Brown-1
D. d. Red - 2, Yellow -1

Answer

D

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
`{:("Type of Cards","Colour of Envelope","Number of Cards"),(E to, Red to ,1),(E to, Brown to, 2 ):}`
Therefore, none of the given combinations is correct.