Question
Download Solution PDFComprehension
Which item is the third lightest among them?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven: Arjun bought seven grocery items A, B, C, D, E, F, and G each having a different weight.
1) Item D is heavier than only three items but lighter than exactly three items.
2) Item C is the lightest among all.
_ > _ > _ > D > _ > _ > C
3) Item G is lighter than A but heavier than B and C.
4) A weighs 18 kg and is not the heaviest.
Case 1) _ > A (18 kg) > G > D > B > _ > C
Case 2) _ > A (18 kg) > _ > D > G > B > C
Case 3) _ > _ > A (18 kg) > D > G > B > C
5) Item F is neither the heaviest nor the second heaviest.
As there is no possible position for F in case 3, therefore it is eliminated.
After positioning F only one position is left which will be occupied by the only item left i.e. E.
Case 1) E > A (18 kg) > G > D > B > F > C
Case 2) E > A (18 kg) > F > D > G > B > C
6) Number of items heavier than E is one less than the number items lighter than F.
As case 2 doesn't fulfil the condition, therefore is eliminated.
In case 1 → Number of items heavier than E is = 0 and Number of items lighter than F is = 1, thus condition is justified here.
Case 1) E > A (18 kg) > G > D > B > F > C
Thus, according to the final arrangement, B is the third lightest among them.
Hence, "Option 4" is the correct answer.