CE GATE 2017 PAPER 01 - Online Test

Q1. An elastic bar of length L, uniform cross sectional area A, coefficient of thermal expansion α, and Young’s modulus E is fixed at the two ends. The temperature of the bar is increased by T, resulting in an axial stress σ. Keeping all other parameters unchanged, if the length of the bar is doubled, the axial stress would be
Answer : Option A
Explaination / Solution:


σ varies with ∆T and does not depends upon the length of bar.

Q2. The queue length (in number of vehicles) versus time (in seconds) plot for an approach to a signalized intersection with the cycle length of 96 seconds is shown in the figure (not drawn to scale).

At time t = 0, the light has just turned red. The effective green time is 36 seconds, during which vehicles discharge at the saturation flow rate, s (in vph). Vehicles arrive at a uniform rate v (in vph), throughout the cycle. Which one of the following statements is TRUE?

Answer : Option B
Explaination / Solution:
No Explaination.


Q3. A strip footing is resting on the ground surface of a pure clay bed having an undrained cohesion Cu. The ultimate bearing capacity of the footing is equal to
Answer : Option D
Explaination / Solution:

Ultimate bearing capacity = c.Nc
For pure clay N= 5.14 = (π + 2)
UBC = (π + 2)C

Q4. The radius of a horizontal circular curve on a highway is 120 m. The design speed is 60 km/hour, and the design coefficient of lateral friction between the tyre and the road surface is 0.15. The estimated value of superelevation required (if full lateral friction is assumed to develop), and the value of coefficient of friction needed (if no superelevation is provided) will, respectively, be
Answer : Option C
Explaination / Solution:



Q5. A simply supported beam is subjected to a uniformly distributed load. Which one of the following statements is true?
Answer : Option B
Explaination / Solution:



Q6. A planar truss tower structure is shown in the figure.

Consider the following statements about the external and internal determinacies of the truss.
(P) Externally Determinate 
(Q) External Static Indeterminacy = 1 
(R) External Static Indeterminacy = 2 
(S) Internally Determinate 
(T) Internal Static Indeterminacy = 1 
(U) Internal Static Indeterminacy = 2 
Which one of the following options is correct?
Answer : Option A
Explaination / Solution:



Q7. The following observations are made while testing aggregate for its suitability in pavement construction: 
i. Mass of oven-dry aggregate in air = 1000 g 
ii. Mass of saturated surface-dry aggregate in air = 1025 g 
iii. Mass of saturated surface-dry aggregate under water = 625 g 
Based on the above observations, the correct statement is 
Answer : Option A
Explaination / Solution:

Mass of oven dry aggregate wa = 1000g 
Mass of water in saturated surface dry aggregate = ww




Q8. Students applying for hostel rooms are allotted rooms in order of seniority. Students already staying in a room will move if they get a room in their preferred list. Preferences of lower ranked applicants are ignored during allocation. Given the data below, which room will Ajit stay in?

Answer : Option B
Explaination / Solution:

As per their preferences given Amar →R Akbar → S Antony → P Ajit → Q

Q9. The bar graph below shows the output of five carpenters over one month, each of whom made different items of furniture: Chairs, tables, and beds.

Consider the following statements. 
i. The number of beds made by carpenter C2 is exactly the same as the same as the number of tables made by carpenter C3. 
ii. The total number of chairs made by all carpenters is less than the total number of tables. Which one of the following is true?
Answer : Option C
Explaination / Solution:

(i) The number of beds made by carpenter C2 is exactly the same as the number of tables made by carpenter C3
i.e., beds made by carpenter C2 = 8 = tablesmade by carpenterC3 [From the bargraph] So,(i) is correct. 
(ii) Total Number of tables made by all carpenters=31. Total Number of chairs made by all carpenters=23
23 < 31 (ii) is correct

Q10. The last digit of (2171)(2172)(2173)11 (2174)13 is
Answer : Option B
Explaination / Solution: