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Banking Exams Exam  >  Banking Exams Questions  >  The average age of Sachin and Ganguli is 35 y... Start Learning for Free
The average age of Sachin and Ganguli is 35 years. If Kaif replaces Sachin, the average age becomes 32 years and if Kaif replaces Ganguli, then the average age becomes 38 years. If the average age of Dhoni and Irfan be half of the average age of Sachin, Ganguly, and Kaif, then the average age of all the five people is:
  • a)
    28 years  
  • b)
    32 years
  • c)
    25 years 
  • d)
    30 years 
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
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The average age of Sachin and Ganguli is 35 years. If Kaif replaces Sa...
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The average age of Sachin and Ganguli is 35 years. If Kaif replaces Sa...
Given:
- Average age of Sachin and Ganguli = 35 years
- Average age becomes 32 years when Kaif replaces Sachin
- Average age becomes 38 years when Kaif replaces Ganguli
- Average age of Dhoni and Irfan = 1/2 of the average age of Sachin, Ganguli, and Kaif

To find:
- Average age of all five people

Solution:
Let's assume the present ages of Sachin, Ganguli, and Kaif as S, G, and K respectively.

1. Average age of Sachin and Ganguli = 35 years
(S + G)/2 = 35
S + G = 70 ----(1)

2. Average age becomes 32 years when Kaif replaces Sachin
(G + K)/2 = 32
G + K = 64 ----(2)

3. Average age becomes 38 years when Kaif replaces Ganguli
(S + K)/2 = 38
S + K = 76 ----(3)

4. Average age of Dhoni and Irfan = 1/2 of the average age of Sachin, Ganguli, and Kaif
(D + I)/2 = (S + G + K)/6
D + I = (S + G + K)/3 ----(4)

Let's add equations (1) and (2) and substitute the value of G+K from equation (2):
S + G + K = 70 + 64
S + (G+K) = 134
S + 64 = 134
S = 70

Substitute the value of S in equations (1), (3), and (4):
G = 70 - S = 0
K = 76 - S = 6
D + I = (S + G + K)/3 = 26

Therefore, the average age of all five people = (S + G + K + D + I)/5 = (70 + 0 + 6 + 2D + 2I)/5 = (76 + 2(D+I))/5 = 28

Hence, the correct option is (a) 28 years.
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Directions: The following question is based on the given set of conditions. Choose the response that most accurately and completely answers the question.A BPO has assigned duty to nine operators - Abdulla, Ballal, Chandan, Dogra, Eshita, Falguni, Ganguli, Henri and Indra - on Monday, January 05, 2009 from 00:00 hours. Each operator commences duty at any of the following hours: 00:00 hrs, 04:00 hrs, 08:00 hrs, 12:00 hrs, 16:00 hrs and 20:00 hrs. At any point in time, at least one operator is required, to take clients' calls. Each operator works continuously for eight hours. All operators located at any single location start work simultaneously. The operators took training in five different colleges - Abhiman College, Sutanama College, Gutakal College, Barala College and Khatanama College. These colleges are located in the cities of Jamshedpur, Pune, Noida, Hyderabad and Mangalore, not necessarily in that order. The operators operate from the cities where their respective colleges are located.Indra operates alone from a city other than Mangalore and Jamshedpur. Operator(s) trained in Abhiman College will start working at 12:00 hrs. Only Dogra and Falguni operate from Pune, but they are not trained in Gutakal College. Three of the operators took training from Sutanama College, and they operate from Noida. The operator(s) from Jamshedpur will start working at 0:00 hrs. Abdulla and Henri operate together as a two-member team from a single location. They do not operate from Mangalore. No operator(s) will join at 20:00 hrs. Ballal, who alone operates from his location, was not trained in Barala College and will commence his duty four hours after the operator(s) trained in Gutakal College. The operator(s) trained in Barala College operate from Hyderabad. The number of operators trained in Khatanama College is same as the number of operators trained in Barala College.If five operators are working between 16:00 hrs and 20:00 hrs, then which of the following must be true?

Directions: The following question is based on the given set of conditions. Choose the response that most accurately and completely answers the question.A BPO has assigned duty to nine operators - Abdulla, Ballal, Chandan, Dogra, Eshita, Falguni, Ganguli, Henri and Indra - on Monday, January 05, 2009 from 00:00 hours. Each operator commences duty at any of the following hours: 00:00 hrs, 04:00 hrs, 08:00 hrs, 12:00 hrs, 16:00 hrs and 20:00 hrs. At any point in time, at least one operator is required, to take clients' calls. Each operator works continuously for eight hours. All operators located at any single location start work simultaneously. The operators took training in five different colleges - Abhiman College, Sutanama College, Gutakal College, Barala College and Khatanama College. These colleges are located in the cities of Jamshedpur, Pune, Noida, Hyderabad and Mangalore, not necessarily in that order. The operators operate from the cities where their respective colleges are located.Indra operates alone from a city other than Mangalore and Jamshedpur. Operator(s) trained in Abhiman College will start working at 12:00 hrs. Only Dogra and Falguni operate from Pune, but they are not trained in Gutakal College. Three of the operators took training from Sutanama College, and they operate from Noida. The operator(s) from Jamshedpur will start working at 0:00 hrs. Abdulla and Henri operate together as a two-member team from a single location. They do not operate from Mangalore. No operator(s) will join at 20:00 hrs. Ballal, who alone operates from his location, was not trained in Barala College and will commence his duty four hours after the operator(s) trained in Gutakal College. The operator(s) trained in Barala College operate from Hyderabad. The number of operators trained in Khatanama College is same as the number of operators trained in Barala College.Which of the following statements must be true for the operator(s) trained in Gutakal College?

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The average age of Sachin and Ganguli is 35 years. If Kaif replaces Sachin, the average age becomes 32 years and if Kaif replaces Ganguli, then the average age becomes 38 years. If the average age of Dhoni and Irfan be half of the average age of Sachin, Ganguly, and Kaif, then the average age of all the five people is:a)28 years b)32 yearsc)25 yearsd)30 yearse)None of theseCorrect answer is option 'A'. Can you explain this answer?
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