AILET entrance exam Question Bank Solutions for Mathematics

A sum of ₹725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of ₹362.50 more is lent but at the rate twice the former. At the end of the year, ₹33.50 is earned as interest from both the loans. What was the original rate of interest?

An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%. the effective rate of interest becomes

A person takes a loan of ₹200 at 5% simple interest. He returns ₹100 at the end of 1 yr. In order to clear his dues at the end of 2 yr, he would pay

Ravi borrowed some money at the rate of 4% per annum for the first three years, at the rate of 8% per annum for the next two years and at the rate of 9% per annum for the period beyond 5 yr. If he pays a total simple interest of ₹19550 at the end of 7 yr, how much money did he borrow?

A bank offers 5% compound interest calculated on a half-yearly basis. A customer deposits ₹1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is

There is 60% increase in an amount in 6 year at simple interest. What will be the compound interest of ₹ 12000 after 3 years at the same rate?

The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is ₹1. The sum (in₹) is

The difference between compound interest and simple interest on an amount of ₹15000 for 2 years is ₹96. What is the rate of interest per annum?

What is the difference between the compound interest and simple interest accrued on an amount of  ₹12000 at the end of 3 years at the rate of 12%?

A sum invested for 3 years compounded at 5%, 10%, and 20% respectively. In 3 years, if the sum amounts to ₹16632, then find the sum:

A sum of money at simple interest amounts to ₹815 in 3 years and to ₹854 in 4 years. The sum is

A certain sum is lent at x % per annum simple interest for 2 years. Instead, if the amount was lent at 2x% per annum simple interest for y more years, then the interest would have been five times the earlier interest. What is the value of y?

At what rate of compound interest per annum will a sum of ₹1200 become ₹1348.32 in 2 years?

The least number of complete years in which a sum of money put out at 20% compound interest will be more than double is

Albert invested an amount of ₹ 8000 in a fixed deposit scheme for 2 years at a compound interest rate of 5% per annum. How much amount will Albert get on the maturity of the fixed deposit?

A man took a loan from a bank at the rate of 12% per annum simple interest. After 3 years, he had to pay ₹5400 for the whole period. The principal borrowed by him was

Solve the following question and mark the best possible option.
If x : 4 = 3y : 5 = - z : 3 = 3x – 6y – 4z : k, then value of k is ________

Solve the following question and mark the best possible option.
How many solutions to the equation 2^x + x² = 2 - 1/2^x exist?

Solve the following question and mark the most appropriate option.
The number of boys in a class is three times the number of girls. Which one of the following numbers cannot represent the total number of children in the class?

The continuous product of the roots of (-1)^2/3 is: