College

Determine the IQ of an individual who has the cognitive ability of a 20-year-old but is only 10 years old.

Options:
A. [tex]$I Q=150$[/tex]
B. [tex]$IQ=200$[/tex]
C. [tex]$I Q=50$[/tex]
D. [tex]$IQ=125$[/tex]
E. [tex]$I Q=100$[/tex]

Answer :

To determine the IQ based on mental and chronological ages, we use the formula

[tex]$$
IQ = \frac{\text{Mental Age}}{\text{Chronological Age}} \times 100.
$$[/tex]

Here, the mental age is given as [tex]$20$[/tex] and the chronological age is [tex]$10$[/tex]. Plugging in these values, we have

[tex]$$
IQ = \frac{20}{10} \times 100.
$$[/tex]

Simplify the fraction:

[tex]$$
\frac{20}{10} = 2.
$$[/tex]

Then multiply by [tex]$100$[/tex]:

[tex]$$
IQ = 2 \times 100 = 200.
$$[/tex]

Thus, the IQ is [tex]$200$[/tex].

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