Quantitative Reasoning – Balloons for a party!

PSA 2014_XI_Q13. Sana wants to buy 19 balloons for a party. Of these

  •  most balloons need to be red.
  •  11 need to be blue or yellow.
  •  at least one needs to be pink.

How many pink balloons can Sana buy ?
(1) 1
(2) 4
(3) 3
(4) 2

Ans: Out of 19 balloons, 11 need to be blue or yellow. Out of the remaining 8, atleast one needs to be pink.

Suppose Sana, buys 2 pink balloons, then she can buy 6 red balloons. However in this case, the distribution of 11 balloons between blue or yellow (5,6 or 4,7 or 3,8 etc..) will conflict with the first condition “most balloons need to be red”.

So, to satisfy all conditions, Sana can buy only one 1 balloon. Option (1).


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