Directions (88-90) :Study the following information carefully and answer the questions given below:
Six pairs of shoes are arranged in a shoe rack according to their length from left to right. Shoe A is shorter than only Shoe K and Shoe L. Shoe S is longer than Shoe B and shorter than Shoe Z. The Length of Shoe K is 52cm and the length of Shoe Z is 46cm. The length of shoe L is 55cm.
Which of the following shoes is 2nd shortest?
Correct Answer :
Shoe S
Solution :
The correct option is Shoe S.
Step-by-step Explanation:
Let's arrange the six pairs of shoes in decreasing order of their length from left to right, represented by positions 1 to 6 (where position 1 is the longest and position 6 is the shortest).
1. Position of Shoe A:
The problem states that "Shoe A is shorter than only Shoe K and Shoe L."
This implies that Shoe A is the 3rd longest shoe (and thus longer than the remaining 3 shoes).
So, the first two positions are occupied by Shoe K and Shoe L in some order, and Shoe A is at the 3rd position:
(Shoe K / Shoe L) > (Shoe K / Shoe L) > Shoe A > _ > _ > _
2. Determining the order of Shoe K and Shoe L:
We are given the lengths:
Length of Shoe L = 55 cm
Length of Shoe K = 52 cm
Since 55 cm > 52 cm, Shoe L is longer than Shoe K.
Thus, the arrangement for the first three longest shoes is:
Shoe L (55cm) > Shoe K (52cm) > Shoe A
3. Arranging the remaining shoes (Shoe Z, Shoe S, Shoe B):
We are given that "Shoe S is longer than Shoe B and shorter than Shoe Z."
This gives the relative order:
Shoe Z > Shoe S > Shoe B
4. Complete Arrangement:
Combining all the information from longest to shortest, the complete sequence of shoes is:
1. Shoe L (55 cm) — Longest
2. Shoe K (52 cm)
3. Shoe A
4. Shoe Z (46 cm)
5. Shoe S — 2nd shortest
6. Shoe B — Shortest
From the complete arrangement, we can see that Shoe S is in the 5th position from the left (or 2nd position from the right), making it the 2nd shortest shoe.
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