CAT4 Quantitative Reasoning

Table of Contents

1. CAT4 Quantitative Reasoning

   1.1 Number Analogies

   1.2 Number Series

2. Example Problems

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CAT4 Quantitative Reasoning

Quantitative Reasoning Battery

In the Number Analogies test, each question presents three sets of numbers, such as “4-6, 8-10, 9-_”. The student must figure out how the pairs of numbers are related and choose the correct answer from the five options provided to complete the third pair.

This test evaluates the same basic reasoning processes as those assessed in the Verbal Analogies test. It also measures fundamental arithmetic knowledge (for example, that 6 is twice 3), basic arithmetic accuracy, and flexibility in recognizing and identifying number relationships (for instance, that 7 is either 2 times 3 plus 1 or 2 times 4 minus 1).

In the Number Series test, students must calculate the rule that governs the progression of the number series presented in each problem, and select the next number in the series from the five given options.

Like Number Analogies, this test evaluates the same basic reasoning processes and numerical abilities.

1.1 Number Analogies

In Number Analogies, students are tested on their ability to recognize and apply relationships and patterns in numbers. Students must understand the relationship between two sets of numbers and use this understanding to solve the analogy.

• Number Relationships: Identify the relationship between two numbers and apply it to a new pair. For example, if the relationship is "add 3", then for the pair “2:5,” the next pair would be “6:__?” (Answer: “9”).

• Pattern Recognition: Identify patterns in number sequences and apply them to complete the analogy. For example, if the pattern is dividing by 2, as in “8:4” and “10:__”, the answer would be “5”.

• Mathematical Operations: Solve analogies based on mathematical operations such as addition, subtraction, multiplication, and division. For example, if “3 becomes 9,” then “4 becomes __?” (Answer: “16”).

1.2 Number Series

The Number Series section assesses students' ability to recognize number patterns and predict the continuation of the series. Students must identify the sequence and predict the next number based on the observed pattern.

• Completing the Series: Identify the next number in the given sequence. For example, in the sequence “2, 4, 8, 16, __”, the student should identify that the next number is “32.”

• Pattern Identification: Recognize patterns in sequences, such as arithmetic or geometric progressions. For example, recognizing a pattern where each number increases by a fixed amount or a fixed multiplier is part of the task.

• Number Puzzles: Solve more complex number sequences that involve alternating patterns or multiple operations. For example, in the sequence “1, 4, 9, 16, __”, the student should recognize that the pattern is the squares of integers (1^2, 2^2, 3^2, 4^2) and identify the next number as “25” (5^2).

Example Problems

Correct Answer -> E

Correct Answer -> C

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