Indian Institute of Foreign Trade 2010 Solved Paper

Question : 10 of 135

Marks: +1, -0

A small confectioner bought a certain number of pastries flavoured pineapple, mango and black-forest from the bakery, giving for eachpastry as many rupees as there were pastry of that kind;altogether he bought 23 pastries and spent Rs.211; find the number of each kind of pastry that he bought, if mango pastry are cheaper than pineapple pastry and dearer than black-forest pastry.

(10, 9, 4)
(11, 9, 3)
(10, 8, 5)
(11, 8, 4)

Validate

Solution:

Given that cost of a type of pastry is equal to the quantity bought
if x,y,z are the no. of pastries bought of each type then

x^{2}+y^{2}+z^{2}=211

and

x+y+z=23

Using options,
option A = 10,9,4 i.e.

100+81+16=197

therefore cannot be the answer
option B= 11, 9, 3 i.e.

121+81+9=211

Therefore is our answer
option C = 10, 8 , 5 i.e.

100+64+25=189

therefore cannot be the answer
option D = 11, 8, 4 i.e.

121+64+16=201

therefore cannot be the answer
Therefore our answer is option 'B'

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