Civil Engineering Gate Yearwise 

Civil Engineering Gate 2016 Set-2 Questions with Answer

Ques 1 GATE 2016 SET-2

As per Indian standards for bricks, minimum acceptable compressive strength of any class of burnt clay bricks in dry state is

A

10.0 MPa

B

7.5 MPa

C

5.0 MPa

D

3.5 MPa


(d) is the correct answer.

Ques 2 GATE 2016 SET-2

The optimum value of the function f(x)=x2-4x+2 is

A

2 (maximum)

B

2 (minimum)

C

-2 (maximum)

D

-2 (minimum)


(d) is the correct answer.

Ques 3 GATE 2016 SET-2

The Fourier series of the function,
f(x)=0, -π < x ≤ 0
= π - x. 0 < x < π
in the interval [-π,π] is

The convergence of the above Fourier series at x=0 gives

A

Σ∞n=11/n2=π2/6

B

Σ∞n=1(-1)n+1/n2=π2/12

C

Σ∞n=11/(2n-1)2=π2/8

D

Σ∞n=1(-1)n+1/2n-1=π/4


(c) is the correct answer.

Ques 4 GATE 2016 SET-2

X and Y are two random independent events. It is known that P(X)=0.40 and P(XUYC)=0.7. Which one of the following is the value of P(XUY)?

A

0.7

B

0.5

C

0.4

D

0.3


(b) is the correct answer.

Ques 5 GATE 2016 SET-2

What is the value of ?

A

1

B

-1

C

0

D

Limit does not exist


(d) is the correct answer.

Ques 6 GATE 2016 SET-2

Consider the following linear system.
x+2y-3z=a
2x+3y+3z=b
5x+9y-6z=c
This system is consistent if a, b and c satisfy the equation

A

7a-b-c=0

B

3a+b-c=0

C

3a-b+c=0

D

7a-b+c=0


(b) is the correct answer.

Ques 7 GATE 2016 SET-2

If f(x) and g(x) are two probability density functions,

Which one of the following statements is true?

A

Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are same

B

Mean of f(x) and g(x) are same; Variance of f(x) and g(x) are different

C

Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are same

D

Mean of f(x) and g(x) are different; Variance of f(x) and g(x) are different


(b) is the correct answer.

Ques 8 GATE 2016 SET-2

The angle of intersection of the curves x2=4y and y2=4x at point (0, 0) is

A

0°

B

30°

C

45°

D

90°


(d) is the correct answer.

Ques 9 GATE 2016 SET-2

The area between the parabola x2=8y and the straight line y=8 is


(85.33) is the correct answer.

Ques 10 GATE 2016 SET-2

The quadratic approximation of f(x)=x3-3x2-5 at the point x=0 is

A

3x2-6x-5

B

-3x2-5

C

-3x2+6x-5

D

3x2-5


(b) is the correct answer.

Ques 11 GATE 2016 SET-2

A tall tower was photographed from an elevation of 700 m above the datum. The radial distances of the top and bottom of the tower from the principal points are 112.50 mm and 82.40 mm, respectively. If the bottom of the tower is at an elevation 250 m above the datum, then the height (expressed in m) of the tower is


(120.45) is the correct answer.

Ques 12 GATE 2016 SET-2

The reduced bearing of a 10 m long line is N30°E. The departure of the line is

A

10.00 m

B

8.66 m

C

7.52 m

D

5.00 m


(d) is the correct answer.

Ques 13 GATE 2016 SET-2

A sample of water has been analyzed for common ions and results are presented in the form of a bar diagram as shown.

The non-carbonate hardness (expressed in mg/L as CaCO3) of the sample is

A

40

B

165

C

195

D

205


(a) is the correct answer.

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