AILET entrance exam Question Bank Solutions for Mathematics

81^2.5 × 9^4.5 ÷ 3^4.8 = 9^?

If a^2x+2 = 1, where a is a positive real number other than 1, then x =? 

Evaluate (0.00032)^2/5

`(32/243)^(-3/5)` = ?

`1/(sqrt9-sqrt8) - 1/(sqrt8-sqrt7)+1/(sqrt7-sqrt6)-1/(sqrt6-sqrt5)+1/(sqrt5-sqrt4) = ?`

`sqrt(56+sqrt(56+sqrt(56+...)))÷ 2^2` = ?

Solve the following question and mark the best possible option.
There are some shepherds and their sheep are in a grazing field. The no. of total heads are 60 and total legs are 168 including both men and sheep. The no. of sheep is _______

Formula such as dollars of interest earned divided by total dollars invested is used to calculate

What will be the difference in simple and compound interest on Rs. 2, 000 after three years at the rate of 10 percent per annum?

A certain sum of money amounts to Rs. 1,008 in 2 years and to Rs. 1, 164 in 3 `1/2` years. Find the sum and the rate of interest.

A sum is divided between A and B in the ratio of 1: 2. A purchased a car from his part, which `14 2/7%` depreciates per annum and B deposited his amount in a bank, which pays him20% interest per annum compounded annually. By what percentage will the total sum of money increase after two years due to this investment pattern (approximately).

Kirti took a loan of ₹800 at a rate of 11% per year for 7 months. After seven months she has to pay

The number of members of a club is increased by 10% every year. If the initial number of the members is 500, then what will be the number at the beginning of the third year?

The value of a car depreciates every year at the rate of 10% on its value at the beginning of the year. If the present value of the car is ₹52,488, its worth four years ago was

A certain sum of money was deposited in the bank and it became two-fold in 10 years, what is the rate of simple interest?

If ₹80 amounts to ₹140 in 4 years, what will ₹96 amount to in 10 years at the same rate of interest per annum?

A person borrows ₹ 5000 for 2 yr at 4% per annum simple interest. He immediately lends it to another person at `6 1/4` per annum for 2 yr. Find his gain in the transaction per year.

What will be the ratio of simple interest earned by a certain amount at the same rate of interest for 6 yr and that for 9 yr?

Reena took a loan of ₹1200 with simple interest for as many years as the rate of interest. If she paid ₹432 as interest at the end of the loan period, what was the rate of interest?

Mr. Thomas invested an amount of ₹13900 divided in two different Schemes A and B at the simple interest rate of 14% per annum and 11% per annum, respectively. If the total amount of simple interest earned in 2 yr be ₹3508, what was the amount invested in Scheme B?