City Guilds Model Questions Vol1 2025 Engineering Question 15

Practice objective / multiple choice question 15 from the 2025 City Guilds Model Questions Vol1 Engineering examination.

City Guilds Model Questions Vol1 2025 Engineering Objective / Multiple Choice Medium Difficulty
Question 15 CITY_GUILDS_MODEL_QUESTIONS_VOL1 • 2025 • ENGINEERING • objective

The diameter of a shaft varies along its length according to a quadratic function \(d(x)=ax^{2}+bx+c\) (in millimetres), where \(x\) is the distance in millimetres measured from the start of the transition. The shaft has a diameter of \(20\ \text{mm}\) at \(x=0\), a diameter of \(27\ \text{mm}\) at the midpoint \(x=20\ \text{mm}\), and a diameter of \(30\ \text{mm}\) at the end of the transition \(x=40\ \text{mm}\). Determine the diameter of the shaft at \(x=10\ \text{mm}\). Give your answer in millimetres to one decimal place.

Answer Options

A. 25.5 mm
B. 23.0 mm
Correct Answer C. 24.0 mm
D. 22.5 mm
Correct Answer
C
Correct Option:
24.0 mm

About This Question

This is City Guilds Model Questions Vol1 2025 Engineering Question 15. It is one of the objective questions from the 2025 City Guilds Model Questions Vol1 Engineering examination.

Difficulty level: Medium .

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Chat with Support