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Misc 14(Method 1) IQ of a person is given by the formula IQ = 𝑀𝐴﷮𝐶𝐴﷯ x 100, where MA is mental age and CA is chronological age. If 80 ≤ IQ ≤ 140 for a group of 12 years old children, find the range of their mental age. We know that IQ = 𝑀𝐴﷮𝐶𝐴﷯ x 100, Current age of children = 12 CA = 12 Calculating Mental Age at IQ = 80 & IQ = 140 At IQ of 80, mental age is MA = 9.6 At IQ of 140, mental age is MA = 16.8 Thus, the range of mental age of the group of 12 years old children is 9.6 ≤ MA ≤ 16.8 . Misc 14 (Method 2) IQ of a person is given by the formula IQ = 𝑀𝐴﷮𝐶𝐴﷯ x 100, where MA is mental age and CA is chronological age. If 80 ≤ IQ ≤ 140 for a group of 12 years old children, find the range of their mental age. It is given that for a group of 12 years old children, 80 ≤ IQ ≤ 140 For a group of 12 years old children, CA = 12 years IQ = 𝑀𝐴﷮12﷯ × 100, Putting this value of IQ in (1) 80 ≤ IQ ≤ 140 80 ≤ 𝑀𝐴﷮12﷯ × 100 ≤ 140 Multiplying both sides by 12 (Eliminating 12) 80 × 12 ≤ 𝑀𝐴﷮12﷯ × 100 × 12 ≤ 140 × 12 80 × 12 ≤ MA × 100 ≤ 140 × 12 Dividing both sides by 100 (Eliminating 100) 80 × 12 × 1﷮100﷯ ≤ MA × 100 × 1﷮100﷯ ≤ 140 × 12 × 1﷮100﷯ 9.6 ≤ MA ≤ 16.8 Thus, the range of mental age of the group of 12 years old children is 9.6 ≤ MA ≤ 16.8 .

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo