Question:
IQ of a person is given by the formula
$\mathrm{IQ}=\frac{\mathrm{MA}}{\mathrm{CA}} \times 100$
Where $M A$ is mental age and $C A$ is chronological age. If $80 \leq I Q \leq 140$ for a group of 12 years old children, find the range of their mental age.
Solution:
It is given that for a group of 12 years old children, $80 \leq I Q \leq 140 \ldots$ (i)
For a group of 12 years old children, $\mathrm{CA}=12$ years
$\mathrm{IQ}=\frac{\mathrm{MA}}{12} \times 100$
Putting this value of IQ in (i), we obtain
$80 \leq \frac{\mathrm{MA}}{12} \times 100 \leq 140$
$\Rightarrow 80 \times \frac{12}{100} \leq \mathrm{MA} \leq 140 \times \frac{12}{100}$
$\Rightarrow 9.6 \leq \mathrm{MA} \leq 16.8$
Thus, the range of mental age of the group of 12 years old children is .
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- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
- Physics
- Motion in a Plane
- Law of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
- Thermal Properties of matter
- Thermodynamics
- Kinetic Theory
- Oscillations
- Waves
- Electric Charge and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Thermoelectric Effects of Electric Current
- Heating Effects of Electric Current
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Wave
- Ray Optics and Optical Instruments
- Wave Optics
- Dual Nature of Radiation and Matter
- Atoms
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- Semiconductor Electronics: Materials, Devices and Simple Circuits.
- Chemical Effects of Electric Current,
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