Civil Engineering Gate 2018 Set-2 Questions with Answer

Ques 1 GATE 2018 SET-2


“His face _______ with joy when the solution of the puzzle was _______ to him.”
The words that best fill the blanks in the above sentence are

A

shone, shown

B

shone, shone

C

shown, shone

D

shown, shown


(a) is the correct answer.

Ques 2 GATE 2018 SET-2


“Although it does contain some pioneering ideas, one would hardly characterize the work as _______.”
The word that best fills the blank in the above sentence is

A

innovative

B

simple

C

dull

D

boring


(a) is the correct answer.

Ques 3 GATE 2018 SET-2


A

2a2b2

B

a4b4

C

ab(a + b)

D

a2 + b2


(d) is the correct answer.

Ques 4 GATE 2018 SET-2


A three-member committee has to be formed from a group of 9 people. How many such distinct committees can be formed?

A

27

B

72

C

81

D

84


(d) is the correct answer.

Ques 5 GATE 2018 SET-2


For non-negative integers, a, b, c, what would be the value of a + b + c if log a + log b + log c = 0?

A

3

B

1

C

0

D

-1


(b) is the correct answer.

Ques 6 GATE 2018 SET-2


In manufacturing industries, loss is usually taken to be proportional to the square of the deviation from a target. If the loss is Rs. 4900 for a deviation of 7 units, what would be the loss in Rupees for a deviation of 4 units from the target?

A

400

B

1200

C

1600

D

2800


(c) is the correct answer.

Ques 7 GATE 2018 SET-2


A faulty wall clock is known to gain 15 minutes every 24 hours. It is synchronized to the correct time at 9 AM on 11th July. What will be the correct time to the nearest minute when the clock shows 2 PM on 15th July of the same year?

A

12:45 PM

B

12:58 PM

C

1:00 PM

D

2:00 PM


(b) is the correct answer.

Ques 8 GATE 2018 SET-2


The annual average rainfall in a tropical city is 1000 mm. On a particular rainy day (24-hour period), the cumulative rainfall experienced by the city is shown in the graph. Over the 24-hour period, 50% of the rainfall falling on a rooftop, which had an obstruction-free area of 50 m2, was harvested into a tank. What is the total volume of water collected in the tank in liters?

A

25,000

B

18,750

C

7,500

D

3,125


(c) is the correct answer.

Ques 9 GATE 2018 SET-2


Given that, log P / (y - z) = log Q / (z - x) = log R / (x - y) = 10 for x ≠ y ≠ z, what is the value of the product PQR?

A

0

B

1

C

xyz

D

10xyz


(b) is the correct answer.

Ques 10 GATE 2018 SET-2


Each of the letters in the figure below represents a unique integer from 1 to 9. The letters are positioned in the figure such that each of (A + B + C), (C + D + E), (E + F + G) and (G + H + K) is equal to 13. Which integer does E represent?

A

1

B

4

C

6

D

7


(b) is the correct answer.

Ques 11 GATE 2018 SET-2


The solution of the equation x (dy/dx) + y = 0 passing through the point (1, 1) is

A

x

B

x2

C

x-1

D

x-2


(c) is the correct answer.

Ques 12 GATE 2018 SET-2


The graph of a function f(x) is shown in the figure.

For f(x) to be a valid probability density function, the value of h is

A

1/3

B

2/3

C

1

D

3


(a) is the correct answer.

Ques 13 GATE 2018 SET-2


A probability distribution with right skew is shown in the figure.

The correct statement for the probability distribution is

A

Mean is equal to mode

B

Mean is greater than median but less than mode

C

Mean is greater than median and mode

D

Mode is greater than median


(c) is the correct answer.

The correct answer is Option C - Mean is greater than median and mode.
For any skewed distribution, the relationship between mean, median, and mode follows a predictable pattern based on the direction of the skew. This is one of those facts that''s worth memorizing directly for GATE.
In a right-skewed (positively skewed) distribution, the tail stretches toward the right - meaning there are a few very large values pulling the distribution to the right. The mode sits at the peak (the most frequent value), the median lies slightly to the right of the mode, and the mean gets pulled the furthest right by those extreme high values in the tail.
The order is: Mode < Median < Mean
This directly confirms Option C - the mean is greater than both the median and the mode.
Option A (mean equals mode) is only true for a perfectly symmetric distribution - not a skewed one.
Option B (mean greater than median but less than mode) describes the wrong order - this would imply Mode > Mean, which is the left-skew pattern, not right-skew.
Option D (mode greater than median) is also incorrect for a right-skewed distribution - the mode is actually the smallest of the three here.

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