Hauts and Junior : Fragments

FRAGMENTS

While travelling through the Syrian Desert, you are in desperate need of water. The owl, still bursting with energy(God knows how) comes fl ying back to you to tell you that she had located a water faucet nearby. Hearing this, you rush to it, to fi nd a real water cooler. But the problem is, it has seven pieces lying on the ground which have to be fi tted to form a rectangle in order to have the faucet working.

Question 10:

Which of the following statements are correct about the rectangle formed?

(A) The corner four pieces are 1,3,5,7

(B) The corner four pieces are 1,2,5,6

(C) The corner four pieces are 2,4,5,7

(D) Rectangle cannot be formed

Suddenly, the Desert God emerges out of the faucet. He says, “I am pleased with your hard-work, and will reward you with food if you pass my challenge.” He gives you in finite number pieces of fi ve di fferent types as shown below with numbers etched on them. He then tells you to use a maximum of 30 of these pieces to make a rectangle such that the sum of the numbers on all of the small squares is maximum. Also, each type should be used at least once.

Question 11:

What is maximum sum of all the numbers that is possible?

(A) 137x4

(B) 136x4

(C) 127x4

(D) Rectangle cannot be formed