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Q2.There were 4 parcels all of whose weights were integers (in kg). The weights of all the possible pairs of parcels were noted down and amongst these the distinct values observed were 94 kg, 97 kg, 101 kg and 104 kg. Which of the following can be the weight of one of the parcels?

a40 kg
b45 kg
c48 kg
d53 kg

[administration]

The sum of lowest 2 weight = 94 and the sum of highest 2 weights =104

Taking Option a) 40
It has to be the lowest weight.
so,  2nd lowest = 54
but sum of highest two = 104

So,  One of them will be less than or equal to 52 (not possible as both of them should be greater than 54….greater than the 2nd lowest)
b) 45
It has to be the lowest weight.
2nd lowest = 49
Highest = 101 – 49 = 52
=> 3rd lowest = 104 – 52 = 52

c) 48
It has to be the 2nd lowest
=> Lowest = 46
=> Highest = 101 – 48 = 53
=> 3rd lowest = 104 – 53 = 51
But 51 + 48 = 99 (not possible, as only possibilities are 94, 97, 101, 104)

d) 53
We will get the above values (so not possible)

So, 45 is the only possibility

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