A Person S Intelligence Quotient ( I ) Is Found $I = \frac { 20 \mathrm { M } } { C }$

question 166

Multiple Choice

A person s intelligence quotient ( I ) is found by dividing mental age ( M ) , as indicated by standard tests, by chronological age ( C ) and then multiplying this ratio by 20. The formula $I = \frac { 20 \mathrm { M } } { C }$ can be used. If the I range of a group of 12-year-olds is given by $76 \leq I \leq 189$ , find the range of the mental age of this group.

• A) \(3.8 \leq M \leq 9.45\)
• B) \(912 \leq M \leq 2268\)
• C) \(76 \leq M \leq 189\)
• D) \(45.6 \leq M \leq 113.4\)
• E) \(91.2 \leq M \leq 226.8\)

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Definitions:

Biconditional Statement

A statement that is true only if both components are simultaneously true or false.

Consistent

In logic and mathematics, a set of statements or propositions is consistent if they do not lead to a contradiction, meaning they can all be true at the same time.

Contingency

An impending event or circumstance with potentiality but lacks predictability with surety.

Symbolic Form

A way of representing logical sentences using symbols and variables instead of words.