TS ICET 20th August 2021 Shift-1

Ravi alone can complete a piece of work in 30 days. After working for 10 days
Ravi invites Ramu to join the work. If they together finish the work in the next 8 days, then Ramu alone can require the number of days to complete the work is

A man walks 89 meters along the diagonal of a rectangular field. If, the length of the field is 80 meters, find the cost of fencing the field at the rate of Rs.100 per meter (in rupees)?

Two poles of heights 78 meters and 30 meters stand up in a play ground. If their feet are 55 meters apart, find the distance between the tops (in meters)

From a right circular cylinder of height 21 meters and the base diameter of 20 meters a cone of same dimensions is removed. The volume of the remaining portion will be ( in $$m^{3}$$)

If a hemisphere has radius 24 cm, then its total surface area. in $$cm^{2}$$ is

The area of a square field is 3136 sq.m. This is to be fenced on all the four sides by a barbed wire three times (at different heights) leaving space for 2 gates of width of 1 meter each. If the cost of fencing is Rs.150 per metre the total cost (in rupees is)

The amount (in sq.m.) of canvas required to erect a conical tent whose height is 8.4 m and having area of the base as 38.5 sq.m is (taking the approximate 22 value of $$\pi$$ as $$\frac{22}{7}$$)

If the lateral surface area and the total surface area of a right circular cylinder are in the ratio 7 : 9 and its base radius is 4 cm, then the height of the cylinder (in cm) is

If $$n^{2} - 1$$ is divisible by 8, then n is

$$4212_{7}+5136_{7}-2354_{7}=$$