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

The Standard Deviation of 2, 4, 6, 8, 10 is
What is the Harmonic Mean of 3, 4, 5, and 6?
The arithmetic mean of some numbers is 18 and their median is 16. Then what is the mode?
The median of 260, 240, 210, 190, 180, 220, 230, 250 is
The mean deviation of 3, 4, 5, 6, 7 is
\[ \lim_{x \to \infty} 5 \left( 1 + \frac{4}{x} \right)^x = \]
If each exterior angle of a regular polygon is \( 36^\circ \), then the number of sides of the polygon is
If \( y = x(x - 1)(x - 2) \), then the derivative \( \frac{dy}{dx} \) is
The equation of the straight line passing through the points \( (1, -5) \) and \( (-2, 4) \) is
What is the area, in square units, of the triangle formed by the points \( (3, 2), (3, -6) \) and \( (5, 2) \)?
The arithmetic mean of 7.6, 6.8, 5.4, 6.4, 7.2, (4)8, 6.6, and 5.8 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?
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
If \( A \) is a non-singular 3x3 matrix, then \( \left| 5A \right| \) is
\[ (1 + \sqrt{2})^4 + (1 - \sqrt{2})^4 \]
If \( x^4 - x^3 + 2x^2 + ax + b \) is exactly divisible by \( x^2 - 3x + 2 \), then \( (a, b) \) is
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
\[ \tan \left( -\frac{23}{3} \pi \right) = \]
The solution set of \( x^2 + 6x < 91 \) is
If \( \frac{a}{c} = \frac{c}{d} = \frac{e}{f} \), then
A sum becomes double in 8 years at simple interest. What is the rate percent per annum?
The volumes of two cones of equal height are in the ratio \( 1849 : 961 \). What is the ratio of their radii?
The cost price of 16 pens is the same as the selling price of 12 pens. The percentage of profit is
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
If \( 8^{2x - 4} = 16^{x - 2} \), then \( x = \)