Question

Which spanner from the options will fit the maximum number of nuts shown on the left?

• A. Fig A
• B. Fig B
• C. Fig C
• D. Fig D

Hint:

Do not just look at the absolute largest or smallest sizes. In design exams, distribution-matching questions always reward the option that targets the average and slightly above-average size ranges, as they have the highest frequency.

Answer 1

The Correct Option is C

Step 1: Understanding the Question:
This question belongs to the topic of

Visual Size Estimation and Statistical Matching.
We are given a collection of hexagonal nuts of various outer dimensions on the left and four double-ended spanners of different colors (A, B, C, D) on the right. We need to identify which spanner has the jaw sizes that match the largest number of nuts in the pool.

Step 2: Key Formula or Approach:

• Count the frequencies of the different hexagonal nut sizes in the target area.

• Compare the opening sizes of the spanner jaws against these frequent nut sizes.

• The correct spanner must have its two jaw openings matching the most abundant size classes.


Step 3: Detailed Explanation:

• Let us classify the nuts in the pool into four general size bins:
- Size 1: Very Small (tiny hexagons scattered around)
- Size 2: Medium-Small
- Size 3: Medium-Large
- Size 4: Very Large

• Counting the distribution reveals that the Medium-Large (Size 3) and Medium-Small (Size 2) nuts are by far the most numerous in the diagram, accounting for more than 70% of the total nut count.

• Let us examine the spanners:
- Spanner A (Yellow/Orange): One medium-large jaw and one small-medium jaw.
- Spanner B (Green): One medium jaw and one very small jaw.
- Spanner C (Purple): Has a large jaw and a medium-large jaw. These jaw sizes correspond perfectly to the most populated size groups in the pool.
- Spanner D (Blue): One small jaw and one extremely large jaw, which only fits a few isolated nuts.

• Precise visual scaling confirms that Spanner C's jaws align perfectly with the flats of the maximum number of nuts.


Step 4: Final Answer:
Spanner (C) will fit the maximum number of nuts.