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 :
Correct Option: Shoe S
Let us analyze the given information step-by-step to arrange the six pairs of shoes in decreasing order of their length from left to right (from 1st longest to 6th longest / shortest).
1. There are 6 shoes in total. Let their positions from longest to shortest be 1 to 6:
Position 1 (Longest) > Position 2 > Position 3 > Position 4 > Position 5 > Position 6 (Shortest).
2. "Shoe A is shorter than only Shoe K and Shoe L."
This means Shoe A is shorter than exactly two shoes (K and L), which implies Shoe A must be the 3rd longest shoe.
Therefore, Shoes K and L occupy the 1st and 2nd positions (in any order), and Shoe A is at the 3rd position.
Given lengths: Length of Shoe L = 55 cm, and Length of Shoe K = 52 cm.
Since 55 cm > 52 cm, Shoe L is at position 1 (55 cm) and Shoe K is at position 2 (52 cm).
3. The remaining three positions (4th, 5th, and 6th) must be occupied by the remaining shoes: S, B, and Z.
4. "Shoe S is longer than Shoe B and shorter than Shoe Z."
This gives the relative ordering of these three shoes as:
Shoe Z > Shoe S > Shoe B.
5. Placing Z, S, and B in positions 4, 5, and 6 respectively gives the complete arrangement from longest to shortest:
Position 1: Shoe L (55 cm)
Position 2: Shoe K (52 cm)
Position 3: Shoe A
Position 4: Shoe Z (46 cm)
Position 5: Shoe S
Position 6: Shoe B (Shortest)
6. The question asks for the 2nd shortest shoe.
From our arrangement:
- The shortest shoe (6th position) is Shoe B.
- The 2nd shortest shoe (5th position) is Shoe S.
Hence, the 2nd shortest shoe is Shoe S.
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