List of top Questions asked in Andhra Pradesh State Council of Higher Education

The Standard Deviation of 2, 4, 6, 8, 10 is
P and Q are two sets such that \( n(P) = 3 \) and \( n(Q) = 4 \). A relation from \( P \) into \( Q \) is selected at random. What is the probability that the relation is not a function?
If \( y = x(x - 1)(x - 2) \), then the derivative \( \frac{dy}{dx} \) is
The arithmetic mean of 7.6, 6.8, 5.4, 6.4, 7.2, (4)8, 6.6, and 5.8 is
If each exterior angle of a regular polygon is \( 36^\circ \), then the number of sides of the polygon is
What is the Geometric Mean of 12, 30, and 75?
What is the area, in square units, of the triangle formed by the points \( (3, 2), (3, -6) \) and \( (5, 2) \)?
The equation of the straight line passing through the points \( (1, -5) \) and \( (-2, 4) \) is
\[ \lim_{x \to \infty} 5 \left( 1 + \frac{4}{x} \right)^x = \]
A, B and C start a business with investments of Rs.6,000, Rs.7,000, and Rs.8,000 respectively. The profit at the end of the year is Rs.3,150. Then share of B in the profit is
\[ (1 + \sqrt{2})^4 + (1 - \sqrt{2})^4 \]
\[ \tan \left( -\frac{23}{3} \pi \right) = \]
The father is 7 times older than his son. After 5 years the sum of their ages would be 50 years. The son’s age at present is
If \( x^4 - x^3 + 2x^2 + ax + b \) is exactly divisible by \( x^2 - 3x + 2 \), then \( (a, b) \) is
If \( A \) is a non-singular 3x3 matrix, then \( \left| 5A \right| \) is
If the angle of elevation of the top of a tower of height 100 meters from a point to its foot is \( \tan^{-1} \left( \frac{4}{5} \right) \), then what is the distance from the point to its foot in meters?
The solution set of \( x^2 + 6x < 91 \) is
A sum becomes double in 8 years at simple interest. What is the rate percent per annum?
If \( 8^{2x - 4} = 16^{x - 2} \), then \( x = \)
If \( \frac{a}{c} = \frac{c}{d} = \frac{e}{f} \), then
The volumes of two cones of equal height are in the ratio \( 1849 : 961 \). What is the ratio of their radii?
Evaluate the limit: \[ \lim_{x \to 2} \left[ \frac{1}{x - 2} - \frac{1}{x^2 - 3x + 2} \right]. \]
The G.C.D. and L.C.M of two numbers are 12 and 252 respectively. If one number is 36, then the other number is
The cost price of 16 pens is the same as the selling price of 12 pens. The percentage of profit is
If the area of a square field is 7200 sq. m, then the length of its diagonal in meters is