HARD
CAT
IMPORTANT
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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.

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Important Questions on Averages

HARD
CAT
IMPORTANT
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
CAT
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.
HARD
CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 2 - SNAP>CMAT>Q 45
In an NGO, the daily average wages of 20 illiterate employees is decreased from ₹25 to ₹10, such that the average salary of all the literate (educated) and illiterate employees is decreased by ₹10 per day. Find the number of educated employees working in the NGO.
HARD
CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 2 - SNAP>CMAT>Q 46
Mr. Tyagi while going from Meerut to Saharanpur covered half the distance by train at the speed of 96 km/hr, then, he covered half of the rest distance by his scooter at the speed of 60 km/hr, and finally he covered the rest distance at the speed of 40 km/hr by car. What is the average speed at which Mr. Tyagi completed his journey?
MEDIUM
CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 2 - SNAP>CMAT>Q 47
There are four types of candidates in a coaching preparing for the CAT. The number of students of Engineering, Science, Commerce and Humanities is 40, 60, 50 and 30 respectively, and the respective percentage of students who qualified the CAT is 80%, 75%, 60% and 50%. Find the overall percentage of successful candidates in the institute.
HARD
CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 2 - SNAP>CMAT>Q 48
Mr. Manmohan calculated the average of 10 'three-digit numbers'. But due to a mistake, he reversed the digits of a number, and thus his average increased by 19.8. Find the difference between the unit digit and hundreds digit of that number.
HARD
CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 2 - SNAP>CMAT>Q 49
Once a peon went to the office of SKYLINE COURIER with 4 different envelopes. The clerk in the office measured the weights in all possible pairs. The weights obtained are 59 gm, 61 gm, 62 gm, 63 gm, 64 gm and 66 gm. Find the weight of the heaviest envelope.