Civil Engineering Gate 2015 Set-1 Questions with Answer

Ques 1 GATE 2015 SET-1

Workability of concrete can be measured using slump, compaction factor and Vebe time. Consider the following statements for workability of concrete:
(i) As the slump increases, the Vebe time increases.
(ii) As the slump increases, the compaction factor increases.
Which of the following is TRUE?

Both (i) and (ii) are TRUE

Both (i) and (ii) are FALSE

(i) is TRUE and (ii) is FALSE

(i) is FALSE and (ii) is TRUE

((i) is false and (ii) is true) is the correct answer.

Ques 2 GATE 2015 SET-1

Consider the following statements for air-entrained concrete:
(i) Air-entrainment reduces the water demand for a given level of workability.
(ii) Use of air-entrained concrete is required in environments where cyclic freezing and thawing is expected.
Which of the following is TRUE?

Both (i) and (ii) are TRUE

Both (i) and (ii) are FALSE

(i) is TRUE and (ii) is FALSE

(i) is FALSE and (ii) is TRUE

(a) is the correct answer.

Ques 3 GATE 2015 SET-1

The composition of an air-entrained concrete is given below:

Assume the specific gravity of OPC, sand and coarse aggregate to be 3.14, 2.67 and 2.74, respectively. The air content is _______ liters/m³.

(50.26) is the correct answer.

Ques 4 GATE 2015 SET-1

A function f(x) is linear and has a value of 29 at x = -2 and 39 at x = 3. Find its value at x = 5.

(43) is the correct answer.

Ques 5 GATE 2015 SET-1

Choose the most appropriate equation for the function drawn as a thick line, in the plot below.

x = y - |y|

x = -(y - |y|)

x = y + |y|

x = -(y + |y|)

(b) is the correct answer.

Ques 6 GATE 2015 SET-1

For what value of p the following set of equations will have no solution?
2x + 3y = 5,
3x + py = 10

(4.5) is the correct answer.

Ques 7 GATE 2015 SET-1

The integral ∫_x₁^x₂ x² dx with x₂ > x₁ > 0 is evaluated analytically as well as numerically using a single application of the trapezoidal rule. If I is the exact value of the integral obtained analytically and J is the approximate value obtained using the trapezoidal rule, which of the following statements is correct about their relationship?

J > I

J < I

J = I

Insufficient data to determine the relationship

(j > i) is the correct answer.

Ques 8 GATE 2015 SET-1

Consider the following probability mass function (p.m.f) of a random variable X:

If q = 0.4, the variance of X is _______.

(0.24) is the correct answer.

Ques 9 GATE 2015 SET-1

The smallest and largest Eigen values of the following matrix are:

1.5 and 2.5

0.5 and 2.5

1.0 and 3.0

1.0 and 2.0

(1.0 and 3.0) is the correct answer.

Ques 10 GATE 2015 SET-1

The quadratic equation x² - 4x + 4 = 0 is to be solved numerically, starting with the initial guess x₀ = 3. The Newton-Raphson method is applied once to get a new estimate and then the Secant method is applied once using the initial guess and this new estimate. The estimated value of the root after the application of the Secant method is _______.

(2.33) is the correct answer.

Ques 11 GATE 2015 SET-1

Consider the following differential equation:

Which of the following is the solution of the above equation (c is an arbitrary constant)?

(x / y)cos(y / x) = c

(x / y)sin(y / x) = c

xycos(y / x) = c

xysin(y / x) = c

Ques 12 GATE 2015 SET-1

Consider the following complex function:

Which of the following is one of the residues of the above function?

-1

9 / 16

(a) is the correct answer.

Ques 13 GATE 2015 SET-1

The directional derivative of the field u(x, y, z) = x² - 3yz in the direction of the vector (î + ĵ - 2kˆ) at point (2, -1, 4) is _______.

(-5.71) is the correct answer.

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