AILET entrance exam Question Bank Solutions for Mathematics

The sum of the ages of six children born at an interval of 5 yr each is 93 yr. What is the age of the youngest child?

Amita gave birth to twins when she was thirty years old. After x yr, the sum of the ages of Arnita and her children is 60 yr. What is the value of x?

At present Meena is eight times her daughter's age. Eight years from now, the ratio of the ages of Meena and her daughter will be 10 : 3, respectively. What is Meena's present age?

In a family, the father is 5 years older than the mother and the mother's age now is thrice the age of the daughter. The daughter is now 10 years old. What was the age of the father when the daughter was born?

The average age of 5 members of a family is 20 years. The youngest member of the family is 4 years old. The average age of all the members of the family excluding the youngest member is

The average weight of 5 men is 67.5 kg, and the average weight is diminished by 7.5 kg when the weight of a boy is included. What is the weight of the boy?

A man bought 5 shirts at ₹ 450 each, 4 pairs of trousers at ₹ 750 each and I2 pairs of shoes at ₹ 750 each. What is the average expenditure per article?

If the sum of a few numbers is 450 and their mean is 50 if another number 100 is included, the mean would become

The mean of 100 items was found to be 30. If at the time of calculation, two items were wrongly taken as 32 and 12 instead of 23 and 11, correct mean is

The average of three numbers is 28. The first number is half of the second and the third number is twice the second. The third number is

The average age of 30 boys in a class is 15.2 yr. If 15 more boys join the class, the average age of the class is reduced by half a year. The average age of newcomers is 

A boat takes 3 hours to travel from place M to N downstream and back from N to M upstream. If the speed of the boat in still water is 4 km/hr, what is the distance between the two places?

Solve the following question and mark the best possible option.
A boat travels upstream from B to A and downstream from A to B in 3 hours. If the speed of the boat in still water is 9 km/hr and the speed of the current is 3 km/hr, the distance between A and B(in km) is

Solve the following question and mark the best possible option.
A person can swim in still water at 4 km/hr. If the speed of water is 2 km/hr, how many hours will the man take to swim back against the current for 6 km?

Solve the following question and mark the best possible option.
Two athletes A and B are running on a 900m long track from opposite ends, their speeds are in the ratio of 4: 5, when will they cross each other:

In a garden, there are B rows and 10 columns of papaya trees. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. The length of the garden is

A man can row 14 km/hr in still water. ln, the stream flowing with the speed of 10 km/hr he takes 4 hours to move with the stream and come back. Find the distance he rowed the boat.

A man covers a certain distance between his house and office on a Scooter. Having an average speed of 30 km/hr, he reaches the office late by 10 minutes. However, with a speed of 40 km/hr, he reaches his office 5 minutes earlier. The distance between his house and office is

Azhar can row 9.333 kmph in still waters and finds that it takes him thrice as much time to row up than as to row down the same distance in the river. The speed of the current of the river is

An ant moved for several seconds and covered 3 mm in the first second and 4 mm more in each successive second than in its predecessor. If the ant had covered 1 mm in the first second and 8 m more in each successive second, then the difference between the path it would cover during the same time and the actual path would be more than 6 mm but less than 30 mm. Find the time for which the ant moved (in seconds)