UG-CLAT entrance exam Question Bank Solutions for Mathematics

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?

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 man walks from his house to the Railway station to catch a train, which is running as per schedule. If he walks at 6 km/hr, he misses the train by 9 minutes. However, if he walks at 7 km/hr, he reaches the station 6 minutes before the departure of rain. The distance of his home to the Railway Station is:

A flag pole 18 m high casts a shadow 9.6 m long. What is the distance of the top of the pole from the far end of the shadow?

Ranjeetha walks around the circular park in 15 minutes. If she walks at the rate of 5 km/hr, how much distance would she have to travel, at the minimum, to reach the centre of the park from any point on its perimeter?