Instructions

Read the paragraph below and answer these questions.
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
• The analyst who owns the Nokia handset does not own any other handset.
• Q owns handsets of three different brands.
• The number of handsets owned by S is double of the number of handsets owned by T.
• There is at least one brand whose handset is owned by both R and T.
• No brand is owned by more than two analysts.

Question 31

What the number of handsets owned by T?

Solution

Let's tabulate the conditions one by one.  

Since we have ten handsets, we have two cases

1: T owns 2 handsets
2: T owns 1 handset
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 handsets 
It cannot be T as T and R have at least one handset brand in common
It cannot be Q as it owns three different brands. 
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.

It is clear from the table that T owns 1 handset.

Hence option A is the correct answer.


Create a FREE account and get:

  • All Quant Formulas and shortcuts PDF
  • 40+ previous papers with solutions PDF
  • Top 500 MBA exam Solved Questions for Free

cracku

Boost your Prep!

Download App