AILET entrance exam Question Bank Solutions

Simplify `(7/2÷5/2xx3/2)/(7/2÷5/2xx3/2`÷ 5.25

Simplify 1 + `1/(2+1/(3+1/3))`

The square root of 64009 is

Evaluate `sqrt(0.289/0.00121) +sqrt(64/16)`

`(sqrt24+sqrt216)/sqrt96` = ?

`sqrt(176+sqrt2401` = ?

If 289 = `17^(x/5)`, then x = ?

Find the value of `root(3)(2744)` ÷ 7

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