Question 7

image/svg+xml 1/5 11/4 -10 -29/8 -19/7 -47/20 ?
What is the next number in this sequence?

Explanation

In this sequence there are actually two sequences. 1 sequence for the numerators and one sequence for the denominators. The following transformation applies to the sequence for the denominators : +9
This creates the following sequence: [2, 11, 20, 29, 38, 47, 56]

The following transformation applies to the sequence for the numerators: -6
This creates the following sequence: [10, 4, -2, -8, -14, -20, -26]

Take a good look at how to rewrite the fractions in the series to recognize the pattern.
For example, 1/5 can be rewritten as 2/10
image/svg+xml 1/5 11/4 -10 -29/8 -19/7 -47/20 ? +9 -6 2 10 +9 -6 11 4 +9 -6 20 -2 +9 -6 29 -8 +9 -6 38 -14 +9 -6 47 -20 56 -26

Question statistics

Overview
Question ID: f3Y4ccNG
Main category: Numerical Reasoning
Sub category: Number sequences
Difficulty Level: NoneWhat is item difficulty?
Nr of times answered: 175
Average IQ of people who answered this question: 133.46
Percentage of answers correct: 33.14%
Item Response Theory (IRT)What is Item Response Theory?
Item difficulty: None / 20What is item difficulty?
Discrimination: 2.73 What is item discrimination?
Point of Maximum Information: 144.93 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 175 individual test takers who have answered this question.
Distractor AnalysisWhat is distractor analysis?
Average IQ of people who gave the correct answer: 138.12 Why does the average IQ of people who answer the questions differ per question?
Average IQ of people who gave an incorrect answer: 130.53
Percentage per answer
The graph illustrates the percentage of individual test takers, 175 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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