A student's chronological age is 10 years and mental age is 12 years. His I. Q. will be

Question

Accepted Answer

To calculate the Intelligence Quotient (I.Q.), the formula used is:

\ 	ext{I.Q.} = \left( \frac{	ext{Mental Age}}{	ext{Chronological Age}} ight) 	imes 100 \

In this case, the student's mental age is 12 years, and the chronological age is 10 years. Plugging these values into the formula gives:

\ 	ext{I.Q.} = \left( \frac{12}{10} ight) 	imes 100 = 1.2 	imes 100 = 120 \

Therefore, the correct answer is:

3. 120

**Explanation:**

- **Mental Age (M.A.):** This is a measure of the intellectual level at which an individual is functioning, based on standard age norms.
- **Chronological Age (C.A.):** This is the actual age of the individual from birth.
- **Intelligence Quotient (I.Q.):** This is a score derived from standardized tests designed to measure human intelligence.

**Reasoning:**

- The I.Q. formula essentially compares the mental age to the chronological age to determine how advanced an individual's cognitive abilities are relative to their age group.
- An I.Q. of 100 is considered average, meaning the mental age and chronological age are the same.
- An I.Q. greater than 100 indicates above-average intelligence, as the mental age is greater than the chronological age.

**Why Other Options Are Incorrect:**

1. **80:** This would imply a mental age lower than the chronological age, which is not the case here.
2. **100:** This would imply the mental age is equal to the chronological age, which is not true in this scenario.
4. **140:** This would imply a much higher mental age compared to the chronological age, which is not supported by the given data.

Thus, the correct answer is option 3, 120, as it accurately reflects the relationship between the given mental and chronological ages.