Answers IQ test

Question 27

200 cm ? cm 200 cm 200 cm 10 kg 6 kg 2 kg 8 kg
Which number should replace the question mark?

Explanation

The scale is balanced. This is the case if the distances * weights are the same on both sides of the scale: (A + B) * weigth 1 + B * weight 2 = C * weigth 3 + (C + D) * weight 4.

(200 + ?) * 10 + ? * 6 = 200 * 2 + (200 + 200) * 8.
==> (200 + ?) * 10 + ? * 6 = 3600.
==> Write without parentheses: 200 * 10 + ? * 10 + ? * 6 = 3600.
==> Simplify: ? * 16 + 2000 = 3600.
==> ? * 16 = 3600 - 2000.
==> ? = 1600 / 16.
==> ? = 100
200 cm A B C D 100 cm 200 cm 200 cm 10 kg 6 kg 2 kg 8 kg Weight 1 Weight 2 Weight 3 Weight 4

Question statistics

Overview
Question ID: 4xZfmUvw
Main category: Numerical Reasoning
Sub category: Weight Scales
Difficulty Level: NoneWhat is item difficulty?
Nr of times answered: 338
Average IQ of people who answered this question: 140.38
Percentage of answers correct: 42.31%
Item Response Theory (IRT)What is Item Response Theory?
Item difficulty: None / 20What is item difficulty?
Discrimination: 4.27 What is item discrimination?
Point of Maximum Information: 136.37 What is Point of Maximum Information?
Item Characteristic Curve (ICC)
This Item Characteristic Curve shows the probability that a person with a given IQ level will correctly answer this question. This graph is based on the answers and the IQ levels of 338 individual test takers who have answered this question.
Distractor AnalysisWhat is distractor analysis?
Average IQ of people who gave the correct answer: 145.03 Why does the average IQ of people who answer the questions differ per question?
Average IQ of people who gave an incorrect answer: 133.85

Time spent: you used 37 seconds to answer this question