Answers IQ test

Question 30

100 cm ? cm 180 cm 120 cm 2 kg 6 kg 4 kg 2 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.

(100 + ?) * 2 + ? * 6 = 180 * 4 + (180 + 120) * 2.
==> (100 + ?) * 2 + ? * 6 = 1320.
==> Write without parentheses: 100 * 2 + ? * 2 + ? * 6 = 1320.
==> Simplify: ? * 8 + 200 = 1320.
==> ? * 8 = 1320 - 200.
==> ? = 1120 / 8.
==> ? = 140
100 cm A B C D 140 cm 180 cm 120 cm 2 kg 6 kg 4 kg 2 kg Weight 1 Weight 2 Weight 3 Weight 4

Question statistics

Overview
Question ID: UwUepa34
Main category: Numerical Reasoning
Sub category: Weight Scales
Difficulty Level: NoneWhat is item difficulty?
Nr of times answered: 833
Average IQ of people who answered this question: 113.22
Percentage of answers correct: 33.37%
Item Response Theory (IRT)What is Item Response Theory?
Item difficulty: None / 20What is item difficulty?
Discrimination: 2.25 What is item discrimination?
Point of Maximum Information: 130.35 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 833 individual test takers who have answered this question.
Distractor AnalysisWhat is distractor analysis?
Average IQ of people who gave the correct answer: 116.12 Why does the average IQ of people who answer the questions differ per question?
Average IQ of people who gave an incorrect answer: 111.57
Percentage per answer
The graph illustrates the percentage of individual test takers, 833 in total, who selected each answer option for this question.
Average IQ per answer
The graph displays the average IQ of test takers who chose each answer option. In an effective question, the average IQ of test takers who selected the correct answer should be significantly higher than that of test takers who selected the other options, also known as distractors.

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