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General Mental Ability

303 questions

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Question 301Question →

Five cargo ships—Apex, Beacon, Crest, Dawn, and Echo—arrived at a port one after another. Based on the following conditions, arrange the ships in the correct order of their arrival from first to last:

1. Crest arrived exactly two places after Beacon.
2. Dawn arrived before Echo but after Beacon.
3. Apex did not arrive first or last.
4. Echo arrived immediately after Apex.

Arrange the cargo ships in chronological order from the first to arrive to the last.

Drag items to arrange them in the correct order

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Answer

The correct chronological order of arrival is Beacon, Dawn, Crest, Apex, and Echo.
The conditions are uniquely satisfied when Beacon is 1st, Dawn is 2nd, Crest is 3rd, Apex is 4th, and Echo is 5th. Beacon must be first because placing it anywhere else either pushes Crest too far back or prevents Dawn and Echo from following their respective constraints.

Step-by-Step Solution

1
Determine the relative positions of Beacon and Crest.
Beacon is in position xx, and Crest is in position x+2x+2.
The condition states that Crest arrived exactly two places after Beacon.
2
Determine the possible positions for Apex and Echo.
Apex and Echo must occupy consecutive positions, with Apex directly before Echo. Since Apex cannot be first or last, they can only occupy positions 2 and 3, 3 and 4, or 4 and 5.
Echo arrived immediately after Apex, and Apex has boundary restrictions.
3
Test position assignments to satisfy all constraints.
If Beacon is 1st, Crest is 3rd. This leaves positions 4 and 5 for Apex and Echo. Dawn must arrive after Beacon and before Echo, so Dawn perfectly fits into the remaining 2nd position.
If Beacon were placed 2nd or later, it would create unresolvable conflicts with the spacing needed for Apex and Echo, or violate Dawn's placement.

Key Concept

Relative ordering and positional constraints
Question 302Question →

During an international climate summit, a group of delegates is seated in a single straight row facing the main stage. Julian is seated 17th17^{\text{th}} from the left end of the row, while Nadia is seated 22nd22^{\text{nd}} from the right end. If Julian and Nadia interchange their seats, Julian's new position becomes 33rd33^{\text{rd}} from the left end. Based on this information, what is the total number of delegates seated in the row?

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Answer: 5454

Answer

The correct answer is 5454.
The total number of individuals in a line can be determined by adding a single position's rank from the left and its rank from the right, then subtracting 1 to account for double-counting. After interchanging seats, Julian moves to Nadia's original seat. This seat is 33rd33^{\text{rd}} from the left (Julian's new position) and 22nd22^{\text{nd}} from the right (Nadia's original position). Therefore, the total number of delegates is 33+22−1=5433 + 22 - 1 = 54.

Step-by-Step Solution

1
Determine the position of a single specific seat from both ends of the row.
Nadia's original seat is given as 22nd22^{\text{nd}} from the right end. After the interchange, Julian moves into this seat, and his new position is given as 33rd33^{\text{rd}} from the left end. Thus, this single seat is 33rd33^{\text{rd}} from the left and 22nd22^{\text{nd}} from the right.
To calculate the total number of people in a row, we must know the exact position of one distinct point measured from both the left and right extremes.
2
Apply the total count formula: Total=(Position from Left)+(Position from Right)−1\text{Total} = (\text{Position from Left}) + (\text{Position from Right}) - 1.
Total=33+22−1=54\text{Total} = 33 + 22 - 1 = 54.
Adding the left and right positions counts the specific intersection seat twice. We must subtract 1 to ensure a correct, un-duplicated headcount.

Key Concept

Order and Ranking
Estimated Time:1m 0s
Question 303Question →

Six software engineers—Arjun, Brenda, Carlos, Divya, Ethan, and Fatima—are seated around a circular conference table. Some are facing the center while others are facing outward (away from the center).

1. Ethan faces the center and Arjun sits third to his right.
2. Arjun faces outward. Carlos sits second to the left of Arjun.
3. Divya sits to the immediate right of Arjun and faces the same direction as Arjun.
4. Carlos faces the center. Brenda sits to the immediate left of Carlos.
5. The immediate neighbors of Ethan face the same direction as each other.
6. Fatima and Brenda face opposite directions.

Based on the given arrangement, who sits second to the right of Brenda?

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Answer: Divya

Answer

Divya
Based on the step-by-step logical placement, Brenda is seated at position 3 and faces outward. Because she is facing away from the center, her right side is in the counter-clockwise direction. Therefore, the person to her immediate right is at position 4 (Arjun), and the person second to her right is at position 5, which is Divya.

Step-by-Step Solution

1
Place Ethan and determine Arjun's position.
Ethan is at position 1 facing the center. Arjun is at position 4.
Assuming positions 1 to 6 clockwise, Ethan at 1 facing inward means his right is counter-clockwise. Third to the right (6, 5, 4) places Arjun exactly opposite at position 4.
2
Place Carlos relative to Arjun.
Carlos is at position 2 facing the center.
Arjun at position 4 faces outward. His left side is clockwise (towards 3, 2). Second to the left is position 2, so Carlos is placed there. The clue also states Carlos faces the center.
3
Place Divya relative to Arjun.
Divya is at position 5 facing outward.
Divya is to the immediate right of Arjun. Since Arjun faces outward at position 4, his right is counter-clockwise at position 5. Divya faces the same direction as Arjun (outward).
4
Place Brenda relative to Carlos.
Brenda is at position 3.
Carlos faces the center at position 2. His left is clockwise towards position 3, which is where Brenda sits.
5
Place Fatima and determine remaining facing directions.
Fatima is at position 6 (facing the center) and Brenda faces outward.
Fatima takes the last spot at 6. Ethan's neighbors (Carlos at 2 and Fatima at 6) must face the same direction. Carlos faces inward, so Fatima faces inward. Since Brenda and Fatima face opposite directions, Brenda faces outward.
6
Find the person second to the right of Brenda.
The person is Divya.
Brenda is at position 3 facing outward. Her right side points counter-clockwise towards position 4. The first to her right is Arjun (4), and the second to her right is Divya (5).

Key Concept

Determining left and right orientations in circular arrangements with mixed facing directions.
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