AILET entrance exam Question Bank Solutions

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: 

The equation of a st-line passing through the point (1,2) and making equal angles to with axes, will be:

The pole of the straight line 9x + y – 28 = 0 w.r.t. the circle x² + y² = 16 will be: 

The equation of line which os parallel to the straight line 3x + 4y – 7 = 0 and passing through (1, 2) is:

The equation of the tangent from origin to the circle x² + y² – 2rx – 2hy + h² = 0 is: 

If αα and ββ are the roots of the equation 1 (1 + n² + n⁴) = 0 then α² α +β² β is equal to:

f (x) = 2x3 – 9x2 + 12x + 29 is a monotonic decreasing function when:

If x = t² y = 2t, then the normal at t = 1 is: 

Find the equation of the straight line perpendicular to the line `"x"/"a" - "y"/"b" = 1` and passes through the point where the given st –line cuts the x – axis:

The equation of the polar line w.r.t. the pole (1, -2) to the arile x² + y² -2x – 6y + 5 = 0 is: 

The radical axis of the circles 2x² + 2y² – 7x = 0 and x² + y² – 4y – 7 = 0 is: 

The equation of the normal at a point of intersection of line 2x + y = 3 and curve yx² + y² = 5 is: 

If α and β are the roots of the equation x² + px + q = 0 then the value of α 3α + β 2β = 0 will be: