Shown below is an arrangement of closely stacked spheres. Assume each one to be in contact with its immediate neighbour. What is the total number of points where the spheres touch each other?
Shown below is an arrangement of closely stacked spheres. Assume each one to be in contact with its immediate neighbour. What is the total number of points where the spheres touch each other?
Correct Answer: 96
Solution and Explanation
Step 2: Given the triangular arrangement, each sphere touches 6 others in the next layer. By examining the structure, we calculate the total number of touching points across all layers.
Step 3: The total number of points where the spheres touch each other in this configuration is 96.
Top Questions on Logical and Analytical Reasoning Skills
An investment company, Win Lose, recruit's employees to trade in the share market. For newcomers, they have a one-year probation period. During this period, the employees are given Rs. 1 lakh per month to invest the way they see fit. They are evaluated at the end of every month, using the following criteria:
1. If the total loss in any span of three consecutive months exceeds Rs. 20,000, their services are terminated at the end of that 3-month period,
2. If the total loss in any span of six consecutive months exceeds Rs. 10,000, their services are terminated at the end of that 6-month period.
Further, at the end of the 12-month probation period, if there are losses on their overall investment, their services are terminated.
Ratan, Shri, Tamal and Upanshu started working for Win Lose in January. Ratan was terminated after 4 months, Shri was terminated after 7 months, Tamal was terminated after 10 months, while Upanshu was not terminated even after 12 months. The table below, partially, lists their monthly profits (in Rs. ‘000’) over the 12-month period, where x, y and z are masked information.
Note:
• A negative profit value indicates a loss.
• The value in any cell is an integer.
Illustration: As Upanshu is continuing after March, that means his total profit during January-March (2z +2z +0) ≥
Rs.20,000. Similarly, as he is continuing after June, his total profit during January − June ≥
Rs.10,000, as well as his total profit during April-June ≥ Rs.10,000.
- XAT - 2026
- Quantitative Ability and Data Interpretation
- Logical and Analytical Reasoning Skills
- 125 is multiplied by either 10 or 15. The resultant number is again multiplied by either 10 or 15. This process continues.
Which of the following CANNOT be a resultant number at any point in time?
- XAT - 2026
- Quantitative Ability and Data Interpretation
- Logical and Analytical Reasoning Skills
Shown below is the front and top views of an object. Which of the options can be the CORRECT object?
- CEED - 2025
- Design Aptitude
- Logical and Analytical Reasoning Skills
Shown on the left is the image of an unfolded cube. Which of the options represent(s) the folded cube?
- CEED - 2025
- Design Aptitude
- Logical and Analytical Reasoning Skills
Shown below is a graph showing the journey of a hero in a 60-minute movie. This graph represents the relationship between time and events in the hero’s journey in the film. Which of the statements is/are TRUE?
- CEED - 2025
- Design Aptitude
- Logical and Analytical Reasoning Skills
Questions Asked in CEED exam
Which option(s) is/are NOT a part of the image on the left?
- CEED - 2024
- Visual Reasoning
Four-wheeler vehicles are trying to take a circular path around the marked point in the center. Select the vehicle(s) with the correct wheel positions.
- CEED - 2024
- Logical Reasoning
Identify the most ideal condition for the boat to approach the station.
- CEED - 2024
- Logical Reasoning
Which option is correct for all the signs given below (from left to right)? Interpret the meaning of each symbol.
- CEED - 2024
- Logical Reasoning
The annual profit chart of a company is given below. Which option is the correct statement?
- CEED - 2024
- Logical Reasoning