AILET entrance exam Question Bank Solutions

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A library has an average of 510 VIS1tors on Sunday and 240 on the other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is 

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In Arun's opinion, his weight is greater than 65 kg but less than 72 kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation and if the weight is taken in whole numbers so that all the above conditions are satisfied, what is the average of different probable weights of Arun?

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The average age (in years) of a class is twice the number of students in the class. A student, X leaves the class and the average age is still twice the number of students in the class. Now another student Y leaves the class and the average is still twice the number of students in the class. If the ratio of the ages of X and Y is 19: 17, then find the average age of the class, if one more student Z of age 16 years leaves the class.

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The average marks scored by two groups X and Y of students are 70 and 75 respectively. Four students are moved from group Y to group X, thereby interchanging the average marks of the two groups. Find the total number of students in two groups put together, if the average marks scored by the four students who moved are 85.

When numbers are associated with weights, then obtanied mean is said to be

Successive averages which are computed  for a sequence of days/months/years at a time is called

The average price of 10 pens is Rs. 12 while the average price of 8 of these pens is Rs. 11.75. Of the remaining two pens, if the price of one pen is 60% more than the price of the other, what is the price of each of these two pens?

The ratio between the present ages of Anu and Balbir is 5: 3, respectively. The ratio between Anu's age 4 years ago and Balbir's 4 years hence is 1: 1. What is the ratio between Anu's age 4 years hence and Balbir's age 4 years ago?

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