An industrial manufacturing unit produces and packs machine components into boxes before dispatch. A vision-based counting system scans the packed boxes and checks whether they can be arranged into equal rows to verify the production count. However, if some boxes are left over during the arrangement, the system may record an incorrect production count. 

The system reports the following: 

Let the total number of packed boxes be X. 

The production manager knows that the total number of boxes is greater than 100 but less than 150. 

After identifying X, the manager finds that another production section has 182 packed boxes. The boxes from both sections are combined and divided into two shipment groups. 

Each shipment group must be arranged into complete rows with no boxes left over when arranged in rows of 4, 5, or 6. To balance the workload between the two shipment groups, the number of boxes in the two groups should be as close to each other as possible. 

Question

Which of the following correctly gives the value of X and the number of boxes in Shipment Group 1 and Shipment Group 2? 

An industrial manufacturing unit produces and packs machine components into standardized boxes before they are moved to the assembly section. A production monitoring system counts the packed boxes and checks whether they can be arranged into complete rows for storage and handling. 

However, if some boxes are left over when the production team arranges them into rows, the inventory count may be recorded incorrectly. 

The production system reports the following: 

Let the total number of packed boxes be X. 

The production supervisor knows that the total number of boxes is greater than 100 but less than 150. 

Question 

Which of the following represents the actual number of packed boxes X, and the least number of additional boxes that must be produced so that all the boxes can be arranged into complete rows with no boxes left over, whether arranged in rows of 4, 5, or 6? 

Scenario 

You are an AR Tracking Engineer developing a mobile application that displays a 3D navigation arrow on top of an AR marker. As users move their phones, the camera captures the marker from different angles and distances. If the marker fails the scanner's validation rules, the 3D arrow disappears or starts shaking, resulting in a poor user experience. 

During testing, four marker designs (A, B, C and D) are evaluated over three consecutive camera frames (F1, F2 and F3). Your task is to identify which marker can maintain stable AR tracking throughout the entire test. 

 

Scanner Validation Rules 

A marker is considered valid only if it satisfies all the following conditions in every frame: 

Scenario 

You are an AR Game Tester testing a new Augmented Reality Treasure Hunt application. When a player points the camera at an AR marker, a 3D treasure chest appears and remains locked in place. However, if the marker fails the scanner's tracking rules, the treasure chest will shake, drift or disappear. 

To ensure smooth gameplay, the AR scanner checks each marker while the camera moves through different viewing angles. Four marker designs (A, B, C and D) are tested across three camera views (F1, F2 and F3). 

Your task is to identify the marker that can successfully pass every scanner check and keep the treasure chest locked in place.