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Five-year-old Benjy has an IQ of 140 on the original version of the Stanford-Binet. His mental age is:

A. 9
B. 4
C. 7
D. 6

Answer :

Final answer:

The answer is 7. The correct option is C-7.

Explanation:

To determine mental age, we use the formula: IQ = mental age ÷ chronological age × 100.

In this case, with an IQ of 140 and being 5 years old, we can calculate Benjy's mental age as 7.

Benjy's mental age is 7. The mental age represents the level of cognitive functioning, indicating that Benjy's intellectual abilities are comparable to those of a 7-year-old. Therefore, the correct option is C-7.

This means that despite being only 5 years old, Benjy's intellectual abilities are equivalent to those of a 7-year-old, reflecting advanced cognitive development compared to his peers. The Stanford-Binet IQ test is designed to provide a standardized measure of intelligence, and Benjy's score of 140 indicates his high level of cognitive abilities for his age.

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Rewritten by : Barada

Final answer:

Using the formula IQ = mental age \/ chronological age × 100, with Benjy's IQ of 140 and his chronological age of 5, we calculate that Benjy's mental age is seven years old. Thus, option (c) is correct.

Explanation:

Five-year-old Benjy has been seen demonstrating an exceptional IQ score of 140 on the Stanford-Binet test's original version. Utilizing the IQ formula, IQ = mental age ÷ chronological age × 100, we aim to determine Benjy's actual mental age. Given that Benjy's chronological age of 5 and IQ of 140, the equation is set as follows: 140 = mental age ÷ 5 × 100.

Solving for mental age yields: mental age = (140 × 5) ÷ 100. Thus, Benjy's mental age has been calculated to 7. Therefore, Benjy's cognitive abilities align with a 7-year-old, affirming option C as the correct choice.