TS ICET 2020 Question Paper Shift-1 (30th Sep)

A and B can complete a piece of work independently in 12 and 16 days respectively. Both of them start the work and after 4 day B leaves. In how many days, will A complete the work.

A cuboid has dimensions l, b and h. If all its dimensions are increased by 10%, then the percentage increase in total surface area is

A rectangular field has its length and breadth in the ratio 5 : 4. A man riding on a bicycle complete one lap of the field along its perimeter at a speed of 10.8 kmph in 4 minute and 36 seconds. The area of that field (in sq. meters) is

What is the radius of a spherical ball which is formed by melting a metallic cylinder of base diameter 8 inches and height 160 inches if conversion wastage result in 10% of weight loss? (in inches)

A pyramid 6 mts high has a square base. Length of diagonal of the base is $$\sqrt{98}$$ mts. Its volume is (in cu mts).

A rectangular park is of dimensions 8Om $$\times$$ 60m. The two walking paths 10m wide are to be constructed in the middle of the park parallel to its length and breadth. If the cost of construction of the path is Rs.300 per sq.m. Then the total cost (in lakhs) is

A vessel is in the form of a cylinder surmounted by a hemisphere. If the diameter of sphere is same as diameter 14 cm of the cylinder and if height of the cylinder 17 cm, then the volume of the vessel (in $$cm^{3}$$) is

From a rectangular sheet of paper of dimension 30cm $$\times$$ 20cm, squares of equal side 3 cm is cut out from each corner, and the remaining parts are folded on 4 side to form open rectangular box. Then the volume of the box (in $$cm^{3}$$) is

If $$3^{58} \equiv r(mod  5)$$ and $$0 \leq r \leq 4$$, then $$r =$$

The solution set for the inequation $$\mid x - 1 \mid + \mid x + 2 \mid < 2$$ is