IPMAT Rohtak 2019 (QA) PYQs

The radii of two cones are in the ratio 2:3 and their volumes are in the ratio 1:3. Then the ratio of their heights is:

Two identical solid cubes of side 5 cm are joined end to end. Then the total surface area of the resulting cuboid is:

A room, with a length of 18m, a height of 15 m and a total surface area of 1332 m² is to be divided into 4 m wide small rooms, by inserting plywood sheets in the room. To minimize the expenditure on the purchase of these sheets, how many 18 m × 15 m sheets will be required to construct the maximum possible number of such small rooms, if the length and the height of the small rooms remain the same as that of the original room?