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Banking Exams Exam  >  Banking Exams Questions  >   There are 5 officers, i.e., P, Q, R, S and T... Start Learning for Free
There are 5 officers, i.e., P, Q, R, S and T in an office. The average weight of P and Q is 25 kg. If R replaces P, then the average weight of R and Q will be 21 kg. If R replaces Q, then the average weight of P and R will be 29 kg. The average weight of S and T equals to 1/4th of the average weight of the other three officers. Find the average weight of all five officers.
  • a)
    15.5 kg
  • b)
    17.5 kg
  • c)
    17.8 kg
  • d)
    27.5 kg
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
There are 5 officers, i.e., P, Q, R, S and T in an office. The averag...
To solve this problem, let's analyze the given information step by step.

Step 1: Average weight of P and Q is 25 kg
This means that the total weight of P and Q combined is 2 * 25 = 50 kg.

Step 2: Average weight of R and Q is 21 kg when R replaces P
This means that the total weight of R and Q combined is 2 * 21 = 42 kg when R replaces P.

Step 3: Average weight of P and R is 29 kg when R replaces Q
This means that the total weight of P and R combined is 2 * 29 = 58 kg when R replaces Q.

Step 4: Average weight of S and T is 1/4th of the average weight of P, Q, and R
Let's assume the average weight of S and T is x kg. Then, the total weight of S and T combined is 2 * x = 2x kg.
According to the given information, 2x = (50 + 42 + 58)/4 = 150/4 = 37.5 kg.
Therefore, x = 37.5/2 = 18.75 kg.

Step 5: Average weight of all five officers
The average weight of all five officers can be calculated by finding the total weight of all officers combined and dividing it by 5.
Total weight of all officers = P + Q + R + S + T
= (P + Q) + (R) + (S + T)
= 50 + 42 + 37.5
= 129.5 kg
Average weight of all officers = (129.5)/5
= 25.9 kg

Therefore, the average weight of all five officers is 25.9 kg, which is closest to option B (17.5 kg).
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Community Answer
There are 5 officers, i.e., P, Q, R, S and T in an office. The averag...
According to question,
5 officers are P, Q, R, S and T
Average weight of P and Q = 25 kg
Sum of weights of P and Q = (25 x 2) kg = 50 kg
When R replaces P, average weight of R and Q = 21 kg
Sum of weights of R and Q = (21 x 2) kg = 42 kg
When R replaces Q, average weight of P and R = 29 kg
Sum of weights of R and P = (29 x 2) kg = 58 kg
Sum of weights of P, Q and R = (50 + 42 + 58)/2 = 75 kg
Average weight of S and T = 1/4th x (average weight of P, Q and R)
(S + T)/2 = 1/4th x (75/3) kg
(S + T) = 12.5 kg
Average weight of all five officers = (total weight of P, Q and R + total weight of S + T)/5
(75 kg + 12.5 kg)/5 = 17.5 kg
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There are 5 officers, i.e., P, Q, R, S and T in an office. The average weight of P and Q is 25 kg. If R replaces P, then the average weight of R and Q will be 21 kg. If R replaces Q, then the average weight of P and R will be 29 kg. The average weight of S and T equals to 1/4th of the average weight of the other three officers. Find the average weight of all five officers.a)15.5 kgb)17.5 kgc)17.8 kgd)27.5 kge)None of theseCorrect answer is option 'B'. Can you explain this answer?
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There are 5 officers, i.e., P, Q, R, S and T in an office. The average weight of P and Q is 25 kg. If R replaces P, then the average weight of R and Q will be 21 kg. If R replaces Q, then the average weight of P and R will be 29 kg. The average weight of S and T equals to 1/4th of the average weight of the other three officers. Find the average weight of all five officers.a)15.5 kgb)17.5 kgc)17.8 kgd)27.5 kge)None of theseCorrect answer is option 'B'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about There are 5 officers, i.e., P, Q, R, S and T in an office. The average weight of P and Q is 25 kg. If R replaces P, then the average weight of R and Q will be 21 kg. If R replaces Q, then the average weight of P and R will be 29 kg. The average weight of S and T equals to 1/4th of the average weight of the other three officers. Find the average weight of all five officers.a)15.5 kgb)17.5 kgc)17.8 kgd)27.5 kge)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 5 officers, i.e., P, Q, R, S and T in an office. The average weight of P and Q is 25 kg. If R replaces P, then the average weight of R and Q will be 21 kg. If R replaces Q, then the average weight of P and R will be 29 kg. The average weight of S and T equals to 1/4th of the average weight of the other three officers. Find the average weight of all five officers.a)15.5 kgb)17.5 kgc)17.8 kgd)27.5 kge)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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