AP ICET 2022 Question Paper Shift-2 (25th July)

lt A, B and C can complete a work indidually in 20 days, 15 days and 12 days, respectively. A and C started the work together and left it after 4 days. The number of days needed for B to complete the remaining work is

In a right angled isosceles triangle the length of its hypotenuse is 12 cm. If the area of the triangle i a sq.cm, then the number of distinct prime divisors of the number a is

The maximum possible length (in meter) of the rod that can be placed in a rectangular field of area 120 sq. m, and having perimeter 46 m, is

If the volume of a sphere of radius 'r' i equal to the volume of a cylinder whose base radius is $$\frac{r}{2}$$ and heighth, then h =

The volume (in cubic cm) of the metal required to manufacture a hollow pipe of 56 cm length 4 cm thickness and whose outer perimeter is 440 cm is

If a copper solid sphere of radius 3 cm is melted and drawn into a wire of diameter 0.2 cm, then the length (in meters) of the ,wire is

A cube has a side of a cm. If its side is increased by 5%, then the percentage increase in its lateral surface area is

The length breadth and height of a room are 4 m, 3 m and 5 m respectively. The cost (in Rs.) of painting the 4 walls of the roof and its roof at the rate of Rs. 40 per sq. m. is

If a positive integer n divides a - b where a and b are integers then we write a $$\equiv$$ b (mod n ). The number of primes p with 2 $$\leq$$ p < 100 and p $$\equiv$$ 5 (mod 7 ) is

The ramainder obtained when $$3^{58}$$ is divided by 28 is