List of top Questions asked in Andhra Pradesh Polytechnic Common Entrance Test

The difference between the maximum and minimum observations in the data is
If mean of first n natural numbers is 15, then the value of n is
If p, q are co-prime numbers, then HCF (p,q)= p, q
In a graphical representation of a frequency distribution, if the distance between mode and mean is k times the distance between median and mean, then the value of k is
In a simultaneous toss of two coins, the probability of getting at least one head is
If a die is thrown once, then the probability of getting a prime number is
If E and E are the events of occurrence and non-occurrence of a random experiment respectively and P(E) = 0-05, then P(E) =
The mean of 100 observations is 49. By an error 60, 70, 80 are registered as 40, 20, 50 respectively. The correct mean is
A car manufacturing company announced that most of the people are showing interest to purchase red colour cars. The measure of central tendency they selected for this observation is
If x=a sec o and y-b tan o, then the value of b2x2….a2y2 is
What is the angle of elevation of the Sun, if the length of the shadow of a tower is \(\frac{1}{\sqrt3}\) the height of the tower? 
Two friends are born in the year 2000. The probability that they have the same birthday
\(\frac{sinθ}{1+cosθ}=\)
A kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 60°. Assuming that there is no slack in the string, the length of the string is
The angle of elevation of the top of a tower standing on a horizontal plane from a point A is a. After walking a distance d towards the foot of the tower, the angle of elevation is found to be B. Then the height of the tower is
If tan(A-B)=\(\frac{1}{\sqrt3}\) and sin A= \(\frac{1}{\sqrt2}\),  then the value of B is 
The total surface area of a cone with slant height 21 m and diameter of its base 24 m is
The value of cos1°cos 2°…… cos180° is
The value of is \(\frac{tan 65°}{ cot 25°}\) is
\(\frac{2\,tan\,30^0}{1-tan^2\,30^0}=\)
cos(90°-θ) sin (90°-θ)=
A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm, then how many litres of soup the hospital management has to prepare daily to serve 100 patients?
If the radius of a sphere is tripled, then its volume will become
If two circles touch internally, then the number of their common tangents is
The length of tangent from a point 15 cm away from the centre of a circle of radius 9 cm is