Posts

#DILR - 39

  A cell phone assembling plant has 7 processes to assemble a cell phone. The seven processes are - P, Q, R, S, T, U and V. The process can only be started with S or T. S takes 12 days while T takes 7 days. Q can be started only after S and T. Q takes 5 days. R takes 8 days and can be started only after T. R and S are prerequisites for U and it can be completed in % days. Q and R are prerequisites for V, which takes 2 days. P, which is the final process, can only start if all the other processes are completed. P takes 6 days. Further, it is known that processes can be carried out simultaneously. 1) The process can be completed earliest in how many days?      (a) 21 days      (b) 22 days      (c) 26 days      (d) 27 days 2) A new machine is bought which halves the time for process R. If the whole process is completed in the minimum possible time, what per cent of the time is spent doing exactly one of the process? 3) A new machine is bought which reduces the time for S by half, then in

#Geometry-6

Image

Geomety-5

A cone of radius 4 cm with a slant height of 12 cm was sliced horizontally, resulting into a smaller cone (upper portion) and a frustum (lower portion). If the ratio of the curved surface area of the upper smaller cone and the lower frustum is 1:2, what will be the slant height of the frustum? (A) 12 – √3 (B) 12 – 2√3 (C) 12 – 3√3 (D) 12 – 4√3 (E) None of the above SOLUTION: The curved surface area of the small cone and the frustum are in the ratio 1:2 Therefore, CSA of the smaller and the bigger cone are in the ratio 1:3 Hence, the linear dimension will be in the ratio 1:√3 The slant height of the bigger cone is 12, hence for the small cone it would be 4√3 Hence we conclude that for the frustum it would be 12-4√3 Hence option D is the correct choice.

# DILR - 38

Image

#DILR - 37

Image

#DILR - 36

Image

#DILR - 35

Image