Directions: In each of the following questions, various...

Directions: In each of the following questions, various terms of a number series are given with one term missing as shown by (?). Choose the missing term out of the given alternatives.
$105,7,69,54$
(a) 100
(b) 86
(c) 90
(d) 36

Key Concepts

Number Series

Number series problems require identifying the underlying rule or pattern that connects a sequence of numbers. This involves analyzing how one term in the series transforms into the next and using that relationship to determine a missing term. It is a common topic in quantitative aptitude and tests pattern recognition skills.

Pattern Recognition

Pattern recognition involves observing the regularities or repeated operations within a set of numbers. In number series problems, the solver must detect whether the pattern is based on arithmetic operations, digit manipulation, geometric progressions, or a combination of methods. Recognizing these patterns is crucial for predicting the subsequent terms.

Arithmetic Operations

Arithmetic operations refer to the use of basic mathematical processes such as addition, subtraction, multiplication, and division to form relationships between sequential elements of a series. Problems of this nature may employ these operations in straightforward or complex ways, requiring careful analysis to determine how each term is derived.

Logical Reasoning

Logical reasoning in number series problems involves breaking down the series into possible components or alternate sub-series and analyzing each part independently if needed. It is the process of systematically applying different strategies and checking for consistencies, allowing the solver to deduce the correct missing term even when the rule is not immediately apparent.

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