# CEA GATE Test Series: Quiz!

66 Questions | Total Attempts: 69

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• 1.
Select the pair that does not express a relationship similar to that expressed in the pair: Wheel: spokes
• A.

Hand: fingers

• B.

Octopus: tentacles

• C.

Flower: petals

• D.

Root: leaves

• 2.
Select the pair that does not express a relationship similar to that expressed in the pair: Wheel: spokes
• A.

Hand: fingers

• B.

Octopus: tentacles

• C.

Flower: petals

• D.

Root: leaves

• 3.
If a, b and c are three positive integers such that a and b are in the ratio 3:4 while b and c are in the ratio 2:1, then minimum integer value of a + b + c is
• A.

7

• B.

8

• C.

9

• D.

10

• 4.
Reaching a place of appointment on Friday. I found that I was two days earlier than the scheduled day. If I had reached on the following Wednesday then how many days late would I have been?
• A.

One

• B.

Two

• C.

Three

• D.

Four

• 5.
Which of the following options is the closest in the meaning to the word given below? Impeccable
• A.

Flawless

• B.

Indelible

• C.

Intangible

• D.

Collect

• 6.
Choose the most appropriate word(s) from the options given below to complete the following sentence. It was hoped at the time that that place would become the center from which the civilization of Africa would proceed, but this ________ was not fulfilled.
• A.

Evident

• B.

Expectation

• C.

Engagement

• D.

Solution

• 7.
The arithmetic mean of the list of numbers above is 4. If k and m are integers and k ≠ m, what is the median of the list?
• A.

2

• B.

2.5

• C.

3

• D.

3.5

• 8.
Consider a random walk on an infinite two-dimensional triangular lattice, a part of which is shown in the figure below. If the probabilities of moving to any of the nearest neighbour sites are equal. What is the probability that the walker returns to the starting position at the end of exactly three steps?
• A.
• B.
• C.
• D.
• 9.
Twelve straight lines are drawn in a plane such that no two of them are parallel and no three of them are concurrent. A circle is now drawn in the same plane such that all the points of intersection of all the lines lie inside the circle. What is the number of non-overlapping regions into which the circle is divided?
• A.

25

• B.

67

• C.

79

• D.

83

• 10.
Electromagnetic radiation is an insidious culprit. Once upon a time, the major concern around electromagnetic radiation was due to high tension wires which carry huge amounts of electricity to cities. Now, we even carry sources of this radiation with us as cell phones, laptops, tablets and other wireless devices. While the most acute exposures to harmful levels of electromagnetic radiation are immediately realized as burns, the health effects due to chronic or occupational exposure may not manifest effects for months or years. Which of the following can be the viable solution for electromagnetic radiation reduction?
• A.

By using electric and hybrid vehicles and public transportation systems.

• B.

To implement hardware protocols to minimize risks and reduce electromagnetic radiation production significantly.

• C.

By building wind turbines to harvest natural wind energy.

• D.

By implementing regulatory procedures for vehicle emissions.

• 11.
In a mock exam, there were 3 sections. Out of all students, 60 students cleared the cut off in section 1, 50 students cleared the cutoff in section 2 and 56 students cleared the cut off in section 3. 20 students cleared the cutoff in section 1 and section 2, 16 cleared cut off in section 2 & section 3, 26 cleared the cut off in section 1 & section 3. The number of students who cleared cutoff of the only one section was equal & was 24 for each section. How many students cleared cut off all the three sections?
• A.

6

• B.

8

• C.

10

• D.

12

• 12.
The rank of the matrix
• A.

4

• B.

3

• C.

2

• D.

1

• 13.
Let f(z) = z̅ and g(z) = |z|2 for all ϵ C. Then at z = 0.
• A.

F is analytic and g is NOT analytic

• B.

G is analytic and f is NOT analytic

• C.

F and g are analytic

• D.

Neither f nor g is analytic

• 14.
The probability density function of a random variable X is given by
• A.

0.76

• B.

0.86

• C.

0.96

• D.

None

• 15.
represents the parabola, then the value of m­ will be?
• A.

2

• B.

3

• C.

4

• D.

6

• 16.
The non-zero of n for which the differential equation (3xy2 + n2 x2y) dx + (nx3 + 3x2y) dy = 0, x ≠ 0 become exact differential equation is:
• A.

-3

• B.

-2

• C.

2

• D.

3

• 17.
The normal duration and normal cost of an activity are 25 days and 50,000 rupees respectively. The activity crash duration is 22 days and the indirect cost is 1000 rupees per day. If the cost slope is 1500 rupees per day, then the crash cost of the activity will be
• A.

45,500 rupees

• B.

47,500 rupees

• C.

52,500 rupees

• D.

54,500 rupees

• 18.
Which one of the following is incorrect?
• A.

Seasoning of the timber helps in increased strength of the timber.

• B.

The increased strength of the timber can also be possible through application of preservation of timber.

• C.

Specific gravity of wood is less than 1.

• D.

Abel's process treatment is used to make timber fire-resistance.

• 19.
A doubly reinforced concrete beam with effective cover of 50 mm to centre of both tension and compression reinforcement with effective depth of 550 mm. If the maximum permissible stress in the outermost fibres in both steel and concrete reaches at the same time, what will be the maximum strain in concrete at the level of compression reinforcement satisfying codal provisions of IS 456:2000 according to limit state method. Take Fe 500 grade of steel for both tension and compression reinforcement and M 20 grade of concrete.
• A.

0.00350

• B.

0.00289

• C.

0.00289

• D.

0.00281

• 20.
A close box subjected to the following loading conditions as shown in figure below. The ratio of distribution factor for the member AB to member BC is?
• A.

10/7

• B.

20/7

• C.

2

• D.

12/7

• 21.
Clear distance between lateral restrains for continuous reinforced concrete beam of size 250 × 500 mm (effective depth) according to IS 456:2000 shall be limited to:
• A.

15 m

• B.

31.25 m

• C.

6.25 m

• D.

12.5 m

• 22.
The number of independent degrees of freedom for the beam shown below is
• A.

6

• B.

2

• C.

5

• D.

0

• 23.
A state of pure shear is shown in figure below. What will be the radius and centre of moh’r circle at x – x shown in figure below
• A.

Centre (0, 0) and radius 50 MPa

• B.

Centre (43.30 MPa, 0) and radius 25 MPa

• C.

Centre (0, 0) and radius 25 MPa

• D.

Centre (43.30 MPa, 0) and radius 50 MPa

• 24.
A transmission tower carries a vertical load of 10000 kg, the vertical stress increment at a depth 6 m directly below the tower as per Boussinesq’s theory is____Pa.
• A.

1000

• B.

1100

• C.

1300

• D.

1400

• 25.
For a ladder shown in figure, the velocity of point A is 0.2 m/min in vertically downward direction the velocity of point B in horizontally rightward direction will be ____ m/s.
• A.

0.3

• B.

0.4

• C.

0.5

• D.

0.6

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