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

If \( \sin(\theta) = \frac{15}{17} \), then for \( 0^\circ < \theta < 90^\circ \), \[ \frac{15 \cot(\theta) + 17 \sin(\theta)}{8 \tan(\theta) + 16 \sec(\theta)} \]
If the 5th term of \( \left( 2x^2 + \frac{3}{x} \right)^5 \) is 10, then \( x = \)
If \( x^2 + 2(K+2)x + 36 = 0 \) has equal roots, then \( K = \)
If \( y = \tan^{-1}(x) \), then \( \frac{dy}{dx} = \)
The equation of the line passing through the point \( (2, -3) \) and perpendicular to the segment joining the points \( (1, 2) \) and \( (-1, 5) \) is
A bag contains 3 red balls, 4 white balls, and 7 black balls. The probability of drawing a red or a black ball is
If \( K + 2, 4K - 6, 3K - 2 \) are three consecutive terms of an arithmetic progression, then the value of \( K \) is
If \[ \left( \frac{2}{1} \right)^x \left( \frac{-1}{1} \right)^y = \left( \frac{4}{5} \right), \] then find the value of \( 2x - 3y \).
If \( y = x + \frac{1}{x} \) then \( x^4 + x^3 - 4x^2 + x + 1 = \)
A, B and C can do a piece of work in 4, 5 and 7 days respectively. If they get Rs.415 for working together to complete the job, then A's share is
Two pipes A and B can fill a tank in 12 min and 18 min respectively, if both are opened simultaneously then the time taken to fill the tank in minutes is
Two numbers are in the ratio of 4 : 7. If 14 is added to each, they are in the ratio 5 : 7, then find the numbers?
A train takes 8 seconds to pass a person standing on the platform. If the speed of the train is 36 Kmph, then its length in meters is
The ratio of the sides of a rectangle is 4 : 9 and the area is equal to 144 sq.m. The perimeter in meters is
By selling an article for Rs.990, a trader makes a profit of 12 ½ %. The cost price of the article in rupees is
A can complete a piece of work in 18 days. B is 20% more efficient than A. The number of days B takes to complete the same piece of work is?
The average age of 5 children is 8 years. If the age of the father is included to the children average becomes 13, then the age of the father is
SAP is a computer software originated from
The term "Square the Circle" means.
Net worth means
Who is the present President of NASSCOM?
Which of the following is the wireless communication technology used to replace cables?
Four icons used in building Data Flow Diagram are
The bar that appears frequently in text or dialog boxes is a/an
Choose the correct passive voice \[ \text{They asked me some difficult questions at the interview.} \]