UG-CLAT entrance exam Question Bank Solutions for Mathematics

Ms. Jhulan Goswami scores 102 runs in the 18th innings of her career and thus increases her average by 5. After the 18th inning, her average is:

Kiran‘s brother is 5 years older than her. Her father was 30 years old when Kiran's sister was born, while her mother was 28 years old when Kiran was born. If Kiran's sister was 2 years old when her brother was born, what was the age of their father when Kiran's brother was born?

The average age of 80 boys in a class is 15. The average age of a group of 15 boys in the class is 16 and the average age of another 25 boys in the class is 14. What is the average age of the remaining boys in the class?

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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 weight of three men ‘X’, ‘Y’ and ‘Z’ is 75 kgs. Another man ‘A’ joins the group and the average weight now becomes 80 kgs. If another person ‘B’ whose weight is 5 kgs more than ‘A’ replaces ‘X’, then the average weight of ‘Y’, ‘Z’, ‘A’ and ‘B’ will be 85 kgs. What is the weight of ‘X’s?

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The age of father 10 years ago was three times the age of his son. After 10 years, father’s age is twice that of his son. The ratio of their present ages is:

The number of children in a camp is x and their average weight is 20 kg. If 5 children each weighing 12 kg, join the camp or if 10 children each weighing 21 kg leave the camp, the average weight in both the cases remains the same. The value of x is

Beena got married 8 years ago. Today, her age is `1 1/4` is times her age at the time of marriage. If her daughter's age is 1/10 times her age, then her daughter's age is:

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 monthly income of a person in a certain family of 5 members is ₹1000. What will be the monthly average income of one person in the same family if the income of one person increased by ₹12,000/-per year?

The average age of 29 boys in a class is equal to 14 years. When the age of the class teacher is included the average becomes 15 years. Find the age of the class teacher.

10 sheep and 5 pigs were bought for ₹6,000. If the average price of a sheep is ₹450, find the average price of a pig.

The average age of ten persons learning yoga is 32 yrs. When the age of their instructor is added, the average age becomes 34 yrs. The age of their instructor is

There are 30 boys and 40 girls in a class. If the average age of boys is 10 yr and the average age of girls is 8 yr, then the average age of the whole class is

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?