Latest Wipro Aptitude Question SOLUTION: A survey was taken among 100 people to find their preference of watching T. V. programs. There are 3 channels. Given the no of people who watch at least channel 1 at least chann

• Placement Papers
• /
• Wipro
• /
• Numerical Ability
• /
• Permutation and Combination

Wipro Question Papers: Wipro Interview Experience(2) WIPRO Company Profile

(#M40005694) WIPRO Numerical Ability question Miscellaneous Keep an EYE

A survey was taken among 100 people to find their preference of watching T. V. programs. There are 3 channels. Given the no of people who watch

at least channel 1
at least channel 2
at least channel 3
no channels at all
at least channels 1and 3
at least channels 1 and 2
at least channels 2 and 3
Find the no of people who watched all three.

Asked In Wipro (12 years ago)

Unsolved Read Solution (1)

Is this Puzzle helpful?   (1)   (3) Submit Your Solution Permutation and Combination

Read Solution (1) :

Tijo Jose  (12 years ago)

Consider the standard Venn diagram consisting of three circles mutually intersecting, each circle representing the set of people watching each channel. Let these be A (channel 1), B (channel 2) and C (channel 3).

Name the portions in the figure as follows:
The portion in A alone: a
The portion in B alone: b
The portion in C alone: c
The portion common to B and C only: d
The portion common to C and A only: e
The portion common to A and B only: f
The portion common to A, B and C: g

Now, these circles are all enclosed in a rectangle representing the entire population. The portion inside the rectangle, but outside all the circles be called r.

Given:
1. at least channel 1 : a+f+g+e
2. at least channel 2 : b+f+g+d
3. at least channel 3 : c+e+g+d
4. no channels at all : r
5. at least channels 1 and 3 : e+g
6. at least channels 1 and 2 : f+g
7. at least channels 2 and 3 : d+g

To find: no of people who watched all three: g

Given, a+b+c+d+e+f+g+r = 100
So, a+b+c+d+e+f+g = 100-r
This can be calculated, since r is given.

Substituting (5.) in (1.), (6.) in (2.) and (7.) in (3.), we can calculate a+f, b+d and c+e.
Adding all these, we get a+b+c+d+e+f

Now, g = 100 - r - (a+b+c+d+e+f)

Is this solution Helpfull? Yes (1) | No (1)  

Please Login to Read Solution.