Question

In the wardrobe of Mr. Raman Bhalla, there are 200 tailored suits kept. 110 suits are made up of silk. 76 suits have matching buttons. 60 suits are made up of silk and are white in colour. 30 suits are white in colour and have matching buttons. 40 are made up of silk and have matching buttons. 10 suits are made up of silk, are white in colour and have matching buttons. There are 44 suits which are blue in colour. There are 10 blue suits with matching buttons. 10 blue suits are made up of silk. 10 blue suits are made up of silk and have matching buttons. There are 100 white coloured suits. A suit can have only one unique colour.
How many blue suits are neither made up of silk nor they have matching buttons?

• A. 34
• B. 44
• C. 54
• D. None of these

Answer 1

The correct option is A 34


We have the following values from the question.
q+r+i+x = 60
e+p+x+r = 10
q+x+s+f = 30
g+p+q+x = 40
p+h+x+s = 10
q+x = 10
p+x = 10
Solution we get,
r,j,x,s = 0
q=10; p=10; f=20; g=20;
h=0; c=16; d=20
e=0; a=20; b=34

Clearly, Blue suits which are neither made up of silk nor have matching buttons = 34