Answers IQ test

Question 26

140 cm 200 cm ? cm 180 cm 6 kg 10 kg 4 kg 10 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.

(140 + 200) * 6 + 200 * 10 = ? * 4 + (? + 180) * 10.
==> 4040 = ? * 4 + (? + 180) * 10.
==> Write without parentheses: 4040 = ? * 4 + ? * 10 + 180 * 10.
==> Simplify: 4040 = ? * (4 + 10) + 1800.
==> 4040 - 1800 = ? * 14.
==> (4040 - 1800) / 14 = ?.
==> ? = 160
140 cm A B C D 200 cm 160 cm 180 cm 6 kg 10 kg 4 kg 10 kg Weight 1 Weight 2 Weight 3 Weight 4

Question statistics

Overview
Question ID: 6jrHa7MT
Main category: Numerical Reasoning
Sub category: Weight Scales
Difficulty Level: NoneWhat is item difficulty?
Nr of times answered: 241
Average IQ of people who answered this question: 119.43
Percentage of answers correct: 35.27%
Item Response Theory (IRT)What is Item Response Theory?
Item difficulty: None / 20What is item difficulty?
Discrimination: 2.16 What is item discrimination?
Point of Maximum Information: 135.64 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 241 individual test takers who have answered this question.
Distractor AnalysisWhat is distractor analysis?
Average IQ of people who gave the correct answer: 122.32 Why does the average IQ of people who answer the questions differ per question?
Average IQ of people who gave an incorrect answer: 118.00
Response Time AnalysisWhat is response time analysis?
Optimal time to spend on question: 22 seconds What is the optimal response time?
Optimal time to spend on question
The graph illustrates the last 250 correct and incorrect answers to this question, as well as the time it took for test takers to arrive at the answer. Using this data, an average optimal time for answering the question is calculated. However, it should be noted that the optimal time may vary for individual test takers.

Time spent: you used 40 seconds to answer this question