AILET entrance exam Question Bank Solutions

Two cubes of bronze have a total weight equivalent to 60 kg. The first piece contains 10 kg of pure zinc and the second piece contains 8 kg of pure zinc. What is the percentage of zinc in the first piece of bronze if the second piece contains 15 percent more zinc than the first?

Two solutions of 90% and 97% purity are mixed resulting in 21 litres of a mixture of 94% purity. How much is the quantity of the first solution in the resulting mixture?

A man sells 5 articles for ₹15 and makes a profit of 20%. Find his gain or loss percent if he sells 8 such articles for ₹18.40.

Which one of the following is the same as 30% of 40% of 560?

In an examination, every candidate took either Physics or Mathematics or both. 84% of the candidates took Physics and candidates who took Mathematics were half of those who took Physics. The total number of candidates being 1000, how many took both Physics and Mathematics?

A company declares a dividend of 12% on ₹100 shares. A housewife buys such shares and gets 15% on her investment. At what price she bought the shares?

The price of an article is cut by 10%. To restore it to the original value, the new price must be increased by

In an examination, a student who secured 25% of the maximum marks fails by 60 marks but another candidate who secures 45% of the maximum marks gets 10 marks more than required passing marks. The maximum number of marks is

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?