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The average weight of 15 students is 40 kg. If the teacher's weight is included, the average increases by 2 kg. What is the teacher's weight?
70 kg
72 kg
75 kg
68 kg
72 kg
The average weight of 15 students is 40 kg, yielding a total weight of 600 kg. When the teacher's weight is included, the total number of individuals becomes 16 and the average increases by 2 kg to 42 kg, bringing the total weight to 672 kg. Subtracting the initial total weight of the students from this new total yields the teacher's weight of 72 kg.
The average weight of 15 students is 40 kg, yielding a total weight of 600 kg. When the teacher's weight is included, the total number of individuals becomes 16 and the average increases by 2 kg to 42 kg, bringing the total weight to 672 kg. Subtracting the initial total weight of the students from this new total yields the teacher's weight of 72 kg.
Quantitative aptitude concepts such as averages and weighted means form a foundational component of mathematics tested across major Indian competitive examinations including Railway Recruitment Board (RRB) and Staff Selection Commission (SSC) exams.
Total weight of 15 students equals 15 multiplied by 40 kg, which is 600 kg.
Combined weight of 16 persons including the teacher equals 16 multiplied by 42 kg, which is 672 kg.
Teacher's weight is found by subtracting the total weight of the students from the combined total weight, resulting in 72 kg.
Option A (70 kg) is incorrect because a 70 kg teacher would only increase the average weight by a smaller margin.
Option B (72 kg) is the verified correct answer derived from exact calculations.
Option C (75 kg) and Option D (68 kg) are incorrect options resulting from calculation errors.
Average shortcut method: New Average + (Number of original members multiplied by increase in average) equals 40 + (15 imes 2) equals 40 + 32 equals 72 kg.
B is correct тАФ The weight of the teacher is 72 kg.
Practicing shortcut methods for averages greatly enhances problem-solving speed for Data Interpretation and arithmetic sections in competitive CBT-1 exams.
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