AILET entrance exam Question Bank Solutions for Mathematics

Four years ago, the ages of Ritu and Reena were in the ratio 5: 6 respectively. Eight years from now the respective ratio of their ages will be 8: 9. What is the sum of their ages at present?

The sum of ages of a mother and daughter is 45 years. Five years ago, the product of their ages was four times the mother's age at that time. The present age of the mother is

The average age of three boys is 15 years. If their ages are in the ratio 3:5:7, the age of the youngest boy is

The average height of 10 students in a class is 105 cms. If 20 more students with an average height of 120 cms join them, what will be the average height be?

Before 3 years, the average age of a five-member family was 17 years. A baby having been born and the average of a family is now 17 years. The present age of the baby is

The average age of A, B, and C is 25 years. The Ratio of their ages is 3: 5: 7. Find the age of A.

The average marks of a student in ten papers are 80. If the highest and the lowest score are not considered the average is 81. If his highest score is 92, what is the lowest score?

Three maths classes: X, Y, and Z take an algebra test. The average score of class X is 83. The average score of class Y is 76. The average score of class Z is 85. The average score of class X and Y is 79 and the average score of class Y and Z is 81. What is the average score of classes X, Y, and Z?

The average weight of 14 students was calculated as 71. But it was later found that the weight of one student had been wrongly entered as 42 instead of 56 and of another as 74 instead of 32. The correct average is

Class XII of XYZ International School has three sections K, L, and M. In Mathematics examination, the average marks obtained by these sections are 72, 60 and 50 respectively. The average marks of sections K and L taken together is 69. If the ratio of the number of students in sections Land M is 6: 7, what is the average score of all the three sections put together?

The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is

If the average marks of three batches of 55, 60 and 45 students are respectively 50, 55 and 60, then the average marks of all the students are

The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What must be the weight of the new person?

A grocer has a sale of ₹ 6435, ₹ 6927, ₹ 6855, ₹ 7230 and ₹ 6562 for 5 consecutive months. How much sale must he have in the sixth month, so that he gets an average sale of ₹ 6500?

A family consists of grandparents, parents and three grandchildren. The average age of the grandparents is 67 yr, that of the parents is 35 yr and that of the grandchildren is 6 yr. What is the average age of the family?

In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?

The captain of a cricket team of 11 players is 26 yr old and the wicket-keeper is 3 yr older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average of the team?

A car owner buys petrol at ₹ 7.50, ₹ 8 and ₹ 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol, if he spends ₹ 4000 each year?

The average of 12 results is 15. The average of the first 5 results is 13.7 and that of the last 5 is 16.3. The average of the other two is

There were 35 students in a hostel. Due to the admission of 7 new students, the expenses of the mess were increased by ₹ 42 per day while the average expenditure per head diminished by ₹ 1. What was the original expenditure of the mess?