Study the following information carefully and answer the questions given below:
Six persons are arranged in descending order according to their weight from left to right. Only T is lighter than Q whose weight is 17kg. S is twice heavier than Q and 14 kg lighter than N. Two persons between M and S. R is not the second heaviest among all.
How many persons are lighter than S?
Correct Answer :
Two
Solution :
The correct answer is Two.
Let the six persons be arranged from left to right in descending order of their weight:
1 (Heaviest) > 2 > 3 > 4 > 5 > 6 (Lightest)
From the given information, only T is lighter than Q. This means Q is at the 5th position and T is at the 6th position (the lightest). The weight of Q is given as 17 kg.
S is twice as heavy as Q. Thus, the weight of S is:
S is 14 kg lighter than N. Thus, the weight of N is:
Since N (48 kg) is heavier than S (34 kg), N must be positioned to the left of S. There are two persons between M and S, which gives two possible configurations for M and S:
- If M is at the 1st position, S must be at the 4th position.
- If S is at the 1st position, M must be at the 4th position.
Since N is heavier than S, N must be to the left of S. S cannot be at the 1st position because there would be no space to the left of S for N. Therefore, S must be at the 4th position, and M must be at the 1st position.
This gives the partial arrangement:
1: M > 2: [ ] > 3: [ ] > 4: S (34 kg) > 5: Q (17 kg) > 6: T
We have N and R left to place in the 2nd and 3rd positions. Since R is not the second heaviest among all, R cannot be in the 2nd position. Therefore, N is in the 2nd position, and R is in the 3rd position.
The final weight-wise descending order is:
M > N (48 kg) > R > S (34 kg) > Q (17 kg) > T
From this arrangement, the persons lighter than S (to the right of S) are Q and T. Thus, there are exactly two persons lighter than S.
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