GATE CE 2025 Paper 2 — page 8

Questions 22–24 of 65. Imported answers require review unless explicitly marked reviewed.

Given that A and B are not null sets, which of the following statements regarding probability is/are CORRECT?

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P(A∩B) = P(A) P(B), if A and B are mutually exclusive.

Conditional probability, P(A|B) = 1 if B ⊂ A.

P(A∪B) = P(A) + P(B), if A and B are mutually exclusive.

P(A∩B) = 0, if A and B are independent.

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In the context of construction materials, which of the following statements is/are CORRECT?

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If the characteristic strength is defined as that value below which not more than 50% results are expected to fall, the target mean strength in mix design will be taken same as the characteristic strength irrespective of the degree of quality control at the site.

Ten percent fines value is a non-dimensional quantity.

The stress-strain curve of concrete for 1-day duration of loading is associated with a smaller secant modulus of elasticity compared to the stress-strain curve of the same concrete for 10-minutes duration of loading.

The increase of carbon in steel usually leads to an increase in its 0.2% proof stress.

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Which of the following statements is/are INCORRECT?

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As the depth of the ground water table from the ground surface increases, the effective stress in the soil decreases.

Bulking of the moist sand is due to the capillary action in the sand.

The effective stress in a liquified soil is almost zero.

The earth pressure at any point in the soil, under all conditions, is always smaller than the vertical effective stress at that point.

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2025 · Paper 2

Question 22

Question 23

Question 24