AILET entrance exam Question Bank Solutions for Mathematics

Divya purchased 6 mangoes, 10 oranges and 5 apples for a certain amount. With 40% less amount of Anu could purchase 3 mangoes, 5 oranges, and 4 apples. What percentage of the total amount did Divya spend on apples?

Mohan credits 15% of his salary into his bank and spends 30% of the remaining amount on household articles. If cash on hand is ₹2,380/-, what is his salary?

72% of students in a class took Physics and 44% took Mathematics. If each student took Physics or Mathematics and 40 took both, the total number of students in the class would be

Sheena’s test had 75 questions i.e., 10 on English, 30 on Reasoning and 35 on Legal Aptitude. Although she answered 70% of the English, 40% of the Reasoning and 60% of the Legal Aptitude questions correctly, she did not pass the test because she got less than 60% of the questions right. How many questions she would have needed to answer correctly to earn a 60% passing grade?

Three candidates contested an election and received 1136, 7636 and 11628 votes, respectively. What percentage of the total votes did the winning candidate get?

Two tailors X and Y are paid a total of ₹ 550 per week by their employer. If X is paid 120% of the sum paid to Y. Then, how much is Y paid per week?

Rajeev buys good worth ₹ 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.

The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is

What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?

A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had

Two students appeared at an examination. One of them secured 9 marks more than the other and his marks were 56% of the sum of their marks. The marks obtained by them are

A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?

A student multiplied a number by `3/5` instead of `5/3`. Find the error percentage.

Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.

If 20% of a = b, then b% of 20 is the same as

In a test, a candidate secured 336 marks out of maximum marks x. If the maximum marks x had been converted into 400 marks, he would have secured 192 marks. What was the maximum marks of the test?

In a factory, 60% of the workers are above 30 yr and of these 75 % are males and the rest are females. If there are 1350 male workers above 30 yr, the total number of workers in the factory is

Twelve percent of Kaushal's monthly salary is equal to sixteen percent of Nandini's monthly salary. Suresh's monthly salary is half that of Nandini's monthly salary. If Suresh's annual salary is ₹1.08 lakh, what is Kaushal' s monthly salary?

A has some mangoes. He sold 40% more than he ate. If he sold 70 mangoes, how many did he eat?

If each of the dimensions of a rectangle is increased by 200%, the area is increased by