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Out of five integral numbers, C is the average of A and D. B is greater than C and less than D. Also, B is the average of A and E. What is the middle most number in the sequence?

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Important Questions on Averages

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CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 2 - SNAP>CMAT>Q 32
The average age of Donald, his wife, and their two children is 23 years. His wife is just 4 years younger than Donald himself and his wife was 24 years old, when his daughter was born. He was 32 years old, when his son was born. Find the average age of Donald and his daughter.
HARD
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Quantum CAT Also Useful for XAT>Chapter 2 - SNAP>CMAT>Q 33
There are only five people in Aman's family, which are Aman, his wife, a son, and two daughters. The younger daughter's age is 45th of the elder daughter's age. The age of the elder daughter is 38 times that of her father, Aman, and the age of the son is 15th that of his father, Aman. 4 years ago, the age of his wife was 8 times that of his son, and now, the sum of the ages of the younger daughter and wife is the same as the sum of the ages of Aman and his son. What is the average age of the family?
HARD
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IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 2 - SNAP>CMAT>Q 34
The average weight of a political party is decreased by 1, when some new politicians joined the party, whose strength is 14th of the existing (or old) politicians and the total weight of the new politicians is 209 kgs. What is the new average weight of all the politicians, if it is known that in any case the number of politicians must always be greater than 50, but less than 100?
MEDIUM
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Quantum CAT Also Useful for XAT>Chapter 2 - SNAP>CMAT>Q 35
Ravi went to Kanpur from Lucknow by his four-wheeler. During the journey, he had to use the spare wheel, and he finished his 160 km journey. Find the average distance covered by the wheels of his car.
HARD
CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 2 - SNAP>CMAT>Q 36
There are 6 consecutive odd numbers in increasing order. The difference between the average of the squares of the first 4 numbers and the last four numbers is 64. If the sum of the squares of the first and the last number is 178, then, find the average of all the six numbers.
HARD
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Quantum CAT Also Useful for XAT>Chapter 2 - SNAP>CMAT>Q 37
The average age of board of directors of a company, having 10 directors was 48 years. Coincidentally, when a director aged 53 years resigned from the board of directors, another director died on the same day. So, a new director joined the board of directors aged 34 years. Next year in the same month, the average age of all the 9 directors was found to be 46 years. What was the age of the late director at the time of his death?
HARD
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IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 2 - SNAP>CMAT>Q 38
In an office, the average weight of 24 employees is 60 kg. If n employees were included, whose average weight was 54 kg, then, the total number of employees in the office, (given that the new average weight of all the (24+n) employees is a whole number), is _____.
HARD
CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 2 - SNAP>CMAT>Q 39
The average age of 100 nurses in a nursing home in the year 1982 was 50 years. In the year 1984, 20 nurses retired from their job, whose average age was 60 years. After a huge gap in the year 1987, 40 nurses were employed, whose average age was 38 years. Find the average age of all the nurses in the year 1990.