# Construction Materials and Management

 Question 1
The activities of a project are given in the following table along with their durations and dependency.
$\begin{array} {|c|c|c|}\hline \text{Activities} &\text{Duration (days)}&\text{Depends on}\\ A&10&-\\ \hline B&12&-\\ \hline C&5&A\\ \hline D&14&B\\ \hline E&10&B,C\\ \hline \end{array}$
The total float of the activity E (in days) is ________. (in integer)
 A 0 B 1 C 2 D 3
GATE CE 2022 SET-2
Question 1 Explanation: For activity E,
Total float $(F_T)=T_L^5-T_L^4-t^E=26-15-10=1$ day
 Question 2
The project activities are given in the following table along with the duration and dependency.
$\begin{array}{|c|c|c|} \hline \text{Activities}& \text{Duration (days)} & \text{Depends on}\\ \hline P & 10 & -\\ \hline Q & 12 &- \\ \hline R & 5 &P \\ \hline S & 10 &Q \\ \hline T & 10 & P,q \\\hline \end{array}$
Which one of the following combinations is correct?
 A Total duration of the project = 22 days, Critical path is Q $\rightarrow$ S B Total duration of the project = 20 days, Critical path is Q $\rightarrow$ T C Total duration of the project = 22 days, Critical path is P $\rightarrow$ T D Total duration of the project = 20 days, Critical path is P $\rightarrow$ R
GATE CE 2022 SET-1
Question 2 Explanation: Critical path are Q-S and Q-T=22 days

 Question 3
An equipment has been purchased at an initial cost of Rs. 160000 and has an estimated salvage value of Rs. 10000. The equipment has an estimated life of 5 years. The difference between the book values (in Rs, in integer) obtained at the end of 4th year using straight line method and sum of years digit method of depreciation is _____
 A 10,500 B 32,000 C 20,000 D 15,000
GATE CE 2021 SET-2
Question 3 Explanation:
Initial Cost (P) = 1,60,000
Salvage value (SV) = 10,000
Useful life (n) = 5 Year
Straight Line Method:

Annual depreciation (D),
$D=\frac{P-SV}{n}=\frac{1,60,000-10,000}{5}=30,000$
Book value after 4 year $(BV_4)=P-4D=1,60,000-4(30,000)=40,000$
SOY Method (Sum of year Digit)
\begin{aligned} SOY&=\frac{n(n+1)}{2}=\frac{5 \times 6}{2}=15 \\ d_m&=\frac{n-(m-1)}{SOY} \\ D_m&=(P-SV) \times d_m \\ BV_m&=BV_{m-1}-D_m \\ d_1&= \frac{5-(1-1)}{15}=\frac{5}{15}\\ D_1&= (1,60,000-10,000) \times \frac{5}{15} \\ &=50,000\\ d_2&=\frac{4}{15} ; \;\;D_2=40,000\\ d_3&=\frac{3}{15} ; \;\;D_3=30,000\\ d_4&=\frac{2}{15} ; \;\;D_4=20,000\\ d_5&=\frac{2}{15} ; \;\;D_2=10,000\\ BV_0&=1,60,000 \\ BV_1&=1,60,000 -50,000=1,10,000 \\ BV_2&=1,10,000 -40,000=70,000 \\ BV_3&=70,000 -30,000=40,000 \\ BV_4&=40,000 -20,000=20,000 \\ BV_5&=20,000 -10,000=10,000 \\ \end{aligned}

Difference of book value obtained in two methods = 40,000-20,000=20,000
 Question 4
The activity details for a small project are given in the Table.
$\begin{array}{|l|c|c|} \hline \text { Activity } & \text { Duration (days) } & \text { Depends on } \\ \hline \text { A } & 6 & \text { - } \\ \hline \text { B } & 10 & \text { A } \\ \hline \text { C } & 14 & \text { A } \\ \hline \text { D } & 8 & \text { B } \\ \hline \text { E } & 12 & \text { C } \\ \hline \text { F } & 8 & \text { C } \\ \hline \text { G } & 16 & \text { D, E } \\ \hline \text { H } & 8 & \text { F, G } \\ \hline \text { K } & 2 & \text { B } \\ \hline \text { L } & 5 & \text { G, K } \\ \hline \end{array}$
The total time (in days,in integer) for project completion is ________
 A 42 B 68 C 56 D 36
GATE CE 2021 SET-2
Question 4 Explanation: Project duration = 56 days.
 Question 5
In case of bids in Two-Envelop System, the correct option is
 A Technical bid is opened first B Financial bid is opened first C Both (Technical and Financial) bids are opened simultaneously D Either of the two (Technical and Financial) bids can be opened first
GATE CE 2021 SET-2
Question 5 Explanation:
Option 1 technical bid is opened first

Opening of Tender
First technical bid is opened and after ensuring that all the technical aspects of a contractor are in order than only financial bid is opened
1. Envelope 1 ( Technical bid )

1. Cover letter
2. Registration Details
3. Pre-qualification documents
4. Earnest money deposit
5. Assumptions & Deviations in making of tender
6. Drawings

2. Envelope 2 (Financial Bid)

1. Forms of tender

There are 5 questions to complete.