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GATE 2015
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SET-1 CIVIL - CE
Q. 1 – Q. 25 carry one mark each.
Q.1 For what value of p the following set of equations will have no solution?
2x + 3y = 5
3x + py = 10
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Q.2 The integral ?x1x2 x2dx 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?
(A) J > I (B) J < I
(C) J = I (D) Insufficient data to determine the relationship
Q.3 Consider the following probability mass function (p.m.f.) of a random variable X:
p(x,q) =
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q if X = 0
1-q if X = 1
0 otherwise
If q = 0.4, the variance of X is .
Q.4 Workability of concrete can be measured using slump, compaction factor and Vebe time. Consider the following statements for workability of concrete:
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(i) As the slump increases, the Vebe time increases
(ii) As the slump increases, the compaction factor increases
Which of the following is TRUE?
(A) Both (i) and (ii) are True (B) Both (i) and (ii) are False
(C) (i) is True and (ii) is False (D) (i) is False and (ii) is True
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Q.5 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?
(A) Both (i) and (ii) are True (B) Both (i) and (ii) are False
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(C) (i) is True and (ii) is False (D) (i) is False and (ii) is True
Q.6 Consider the singly reinforced beam shown in the figure below:
P/pxVqa X is at least two feet to the left of the other. *
/p>
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CE 2/13
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