Latest TCS Aptitude Question SOLUTION: 5. A shipping clerk has five boxes of different but unknown weights each weighing less than 100 kgs. The clerk weights the boxes in pairs. The weights obtained are 110, 112, 113,

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5. A shipping clerk has five boxes of different but unknown weights each weighing less than 100 kgs. The clerk weights the boxes in pairs. The weights obtained are 110, 112, 113, 114, 115, 116, 118, 120 and 121 kg. What is the weight of the heaviest box?

Asked In TCS Abhishek Chand (10 years ago)

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rishi kumar jha  (10 years ago)

ANSWER WILL BE 61.5 Kg
let the box are of weight A,B,C,D and E
According to the quest. they are taken in pairs so the combination will be
A+B=110,A+C=112,A+D=113,A+E=114,B+C=115,B+D=116,B+E=118,C+D=120,C+E=121
now let subtract B+C=115 and A+B=110 ON SOLVING WE GET A=C-5
PUTTING THE VALUE OF A IN A+C=112 WE GET C=117/2=58.5
NOW ANE BY ANE AFTER PUTTING THE VALUES WE WILL GET
A=53.5,B=56.5,C=58.5,D=59.5 AND E= 61.5
S0 heaviest box weight will be 61.5 kg

Is this solution Helpfull? Yes (34) | No (3)  

Amshi Nuthalapati  (10 years ago)

the weight of the heaviest box is 60.5(im not sure about it)

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Dablu  (10 years ago)

The numbers will be 59,56,62,54,58 and it will satisfy all the condition..
So the answer will be 62....

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