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The average weight of 15 students in a class is 45 kg. If the weight of the teacher is included, the average weight increases by 2 kg. What is the weight of the teacher?
75 kg
77 kg
79 kg
81 kg
77 kg
The weight of the teacher is determined by finding the total weight of the 15 students and subtracting it from the total weight of the 16 individuals after the average increases by 2 kg. The initial total weight for 15 students is 675 kg, and the new total weight for 16 persons is 752 kg, yielding a teacher weight of 77 kg.
The weight of the teacher is determined by finding the total weight of the 15 students and subtracting it from the total weight of the 16 individuals after the average increases by 2 kg. The initial total weight for 15 students is 675 kg, and the new total weight for 16 persons is 752 kg, yielding a teacher weight of 77 kg.
Quantitative aptitude concepts like averages are standardized mathematical foundations tested extensively in railway and public sector recruitment examinations conducted by the Railway Recruitment Board.
Total weight of 15 students equals 675 kg calculated as 15 multiplied by 45.
Including the teacher makes 16 persons with a new average of 47 kg calculated as 45 plus 2.
Total weight of 16 persons equals 752 kg calculated as 16 multiplied by 47.
Teachers weight equals the difference between the total weight of 16 persons and 15 students, which is 752 minus 675 equal to 77 kg.
Shortcut method: New average plus the product of initial count and increase in average equals new member weight, which is 47 plus 15 multiplied by 2 equals 77 kg.
Option A (75 kg) is incorrect and reflects an underestimation of the weight increment.
Option C (79 kg) and Option D (81 kg) represent incorrect calculations stemming from arithmetic errors during weight scaling.
B is correct тАФ The weight of the teacher is 77 kg, calculated by taking the difference between the total weight of 16 individuals and the 15 students.
Mastering shortcut methods for averages saves crucial time in quantitative sections of RRB JE CBT-1 and other technical recruitment examinations.
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