Instructions

Five analysts, P, Q, R, S and T each own at least one mobile phone handset. Among the five of them, they own 1 Nokia, 2 Samsung, 3 One Plus, 3 IPhone, and 1 Motorola brand handsets use the following information to answer Questions
â€¢ The analyst who owns the Nokia handset does not own any other handset.
â€¢ Q owns handsets of three different brands.
â€¢ The number of handsets owned by S is double of the number of handsets owned by T.
â€¢ There is at least one brand whose handset is owned by both R and T.
â€¢ No brand is owned by more than two analysts.

Question 35

# If Q and S have at least two brands in common, then what is the maximum number of handsets that Q and S together can own?

Solution

Let's tabulate the conditions one by one.Â Â

Since we have ten handsets, we have two cases

Case 1 :
If T owns 2 handsets, then S owns 4 handsets
But Q owns handsets of three different brands.
So we are left with only 1 handset to be given between P and R.
This case will not serve the purpose
Case 2: T owns 1 handset.
If T owns 1 handset, then S owns 2 handsets
Since the person who owns Nokia does not own any other handsetsÂ
It cannot be T as T and R have at least one headset brand in common
It cannot be Q as it owns three different brands.Â
It cannot be S as it has 2 handsets and the person who owns Nokia doesn't own any other handsets.
So it has to be P : P owns a Nokia handset.

Since we have to maximise the number of handsets with Q and S together ,R and T owns 1 handset each i.e Samsung .

S owns 2 handsets of either Iphone or One plus ,Q owns 4 handsets

SoÂ maximum number of handsets that Q and S together can own is 7Â

Hence C is the correct answer