AILET entrance exam Question Bank Solutions for Mathematics

Solve the following question and mark the best possible option.
Find the maximum value of ab (72 – 3a  – 4b), for a, b > 0

Solve the following question and mark the best possible option.
Find the maximum value of (1 – x) (1 + x) (1 + x) where x ≥ 0.

Solve the following question and mark the best possible option.
Let f(a) = `(a^4 + 9)/(10a)`, then

Solve the following question and mark the best possible option.
If 0 < b < a, then find the minimum value of `a + 1/((a - b)b)`.

A box contains ₹ 56 in the form of coins of one rupee, 50 paise, and 25 paise. The number of 50 paisa coins is double the number of 25 paisa coins and four times the number of one rupee coins. The number of 50 paisa coin in the box is

The price of 7 bananas is equal to the cost of 3 kiwis. The price of 2 kiwis is equal to the cost of 1 banana and 5 chikoos. lf Rambo has just enough money to buy 30 chikoos, then how many bananas Rambo could buy with the same amount?

287 x 287 + 269 x 269-2 x 287 x 269 = ?

(112 x 54⁴) = ?

If `114/0.144 = 14.4/x`, then the value of x is

3889 + 12.952 - ? = 3854.002

(1000)⁹ ÷ (10)²⁴ =?

`((489 + 375)^2-(489 - 375)^2)/((489×375))` = ?

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