Raj has an I.Q. of 120 and is classified as superior in intellectual capacity. His Mental Age (M. A.) is 12. What would his chronological age be (C. A.)?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 10
Intelligence Quotient (IQ) is mental age divided by chronological age, multiplied by 100. Here the IQ and the mental age are given, so the chronological age is found by working the formula backwards.
Given: mental age (MA) = 12 years, IQ = 120
IQ = (MA ÷ CA) × 100
120 = (12 ÷ CA) × 100
CA = (12 × 100) ÷ 120 = 10 years
An IQ above 100 means the mental age is more than the chronological age, so Raj must be younger than 12. A 10-year-old with a mental age of 12 has an IQ of 120, the very example used to explain the formula.
NCERT (2025-26): “Assessment of Intelligence … In 1912, William Stern, a German psychologist, devised the concept of Intelligence Quotient (IQ). IQ refers to mental age divided by chronological age, and multiplied by 100.…” “Assessment of Intelligence … The number 100 is used as a multiplier to avoid the decimal point. When the MA equals the CA, the IQ equals 100. If MA is more than the CA, IQ is more than 100. IQ becomes less than 100 when the MA is less than the CA.…” |