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Answer :
To determine the mental age of a child when given their IQ and chronological age, we use the formula for IQ:
[tex]\[ \text{IQ} = \left( \frac{\text{Mental Age}}{\text{Chronological Age}} \right) \times 100 \][/tex]
Let's apply this formula step-by-step:
1. Understand the Given Values:
- The child's IQ is 100.
- The child's chronological age is 7 years.
2. Set Up the Equation:
[tex]\[ 100 = \left( \frac{\text{Mental Age}}{7} \right) \times 100 \][/tex]
3. Solve for Mental Age:
- First, divide both sides of the equation by 100 to isolate the fraction:
[tex]\[ \frac{\text{Mental Age}}{7} = 1 \][/tex]
- Next, multiply both sides by the chronological age (7) to solve for the mental age:
[tex]\[ \text{Mental Age} = 1 \times 7 \][/tex]
4. Calculate the Mental Age:
- Therefore, the mental age of the child is 7.
Looking at the provided options, the correct answer is:
- C. 7
[tex]\[ \text{IQ} = \left( \frac{\text{Mental Age}}{\text{Chronological Age}} \right) \times 100 \][/tex]
Let's apply this formula step-by-step:
1. Understand the Given Values:
- The child's IQ is 100.
- The child's chronological age is 7 years.
2. Set Up the Equation:
[tex]\[ 100 = \left( \frac{\text{Mental Age}}{7} \right) \times 100 \][/tex]
3. Solve for Mental Age:
- First, divide both sides of the equation by 100 to isolate the fraction:
[tex]\[ \frac{\text{Mental Age}}{7} = 1 \][/tex]
- Next, multiply both sides by the chronological age (7) to solve for the mental age:
[tex]\[ \text{Mental Age} = 1 \times 7 \][/tex]
4. Calculate the Mental Age:
- Therefore, the mental age of the child is 7.
Looking at the provided options, the correct answer is:
- C. 7
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