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Question
you have bales of hay. for some reason, instead of being weighed individually, they were weighed in all possible combinations of two: bales 1 and 2, bales 1 and 3. bales 1 and 4, bales 1 and 5, bales 2 and 3, bales 2 and 4, and so on. the weights of each combination were written down and arranged in numerical order, without keeping track of which weight matched which pair of bales. the weights in kilograms were 80, 82, 83, 84, 85, 86, 87, 88, 90, and 91. your initial task is to find out how much each bale weighs.
The sum of these weights is 856/4 = 214 kgs
Let the weights be w1, w2, w3, w4 and w5; where w1<w2<w3<w4<w5
w2-w1 = 2 (=82-80)
w5-w4 = 1 (=91-90)
w1+w2+w3+w4+w5 = 214
w1+w2 = 80
w4+w5 = 91
We have five equations with five variables.
w1+w2+w4+w5 = 171
Hence, w3 = 43 kgs
w1 = 39 kgs
w2 = 41 kgs
w4 = 45 kgs
w5 = 46 kgs
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Rohit Agarwal
Expertise
I can answer questions related to numbers and logic easily. However I sometimes face problems when solving questions that require a lot of creative thinking. I am not good at puzzles which involve a play with words, so please don't ask me to solve such puzzles for you.
Experience
I have read a couple of good books containing puzzles and can now claim to have an "expert" in this field. I have been invited to become a member of Mensa.
Organizations
INDIAN INSTITUTE OF MANAGEMENT, LUCKNOW
Education/Credentials
I did Dual Degree (B.Tech M.Tech) in Electrical Engineering Department from INDIAN INSTITUTE OF TECHNOLOGY, DELHI
I am doing MBA in Finance from INDIAN INSTITUTE OF MANAGEMENT, LUCKNOW
Awards and Honors
Numerous certificates recognizing my ability in Mathematics and Logical Thinking
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