Civil Engineering
GATE CE topic:structural-engineering PYQs
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Questions 401–410 of 1300. Imported answers require independent review unless marked reviewed.
Question 6
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Based only on the truth of the statement ‘Some humans are intelligent’, which one of the following options can be logically inferred with certainty?
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Eveland is a country that has peculiar beliefs and practices. They express almost all their emotions by gifting flowers. For instance, if anyone gifts a white flower to someone, then it is always taken to be a declaration of one’s love for that person. In a similar manner, the gifting of a yellow flower to someone often means that one is angry with that person.
Based only on the information provided above, which one of the following sets of statement(s) can be logically inferred with certainty?
(i) In Eveland, one always declares one’s love by gifting a white flower.
(ii) In Eveland, all emotions are declared by gifting flowers.
(iii) In Eveland, sometimes one expresses one’s anger by gifting a flower that is not yellow.
(iv) In Eveland, sometimes one expresses one’s love by gifting a white flower.
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Which one of the options can be inferred about the mean, median, and mode for the given probability distribution (i.e. probability mass function),
, of a variable
? 
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Three husband-wife pairs are to be seated at a circular table that has six identical chairs. Seating arrangements are defined only by the relative position of the people. How many seating arrangements are possible such that every husband sits next to his wife?
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The James Webb telescope, recently launched in space, is giving humankind unprecedented access to the depths of time by imaging very old stars formed almost 13 billion years ago. Astrophysicists and cosmologists believe that this odyssey in space may even shed light on the existence of dark matter. Dark matter is supposed to interact only via the gravitational interaction and not through the electromagnetic, the weak- or the strong-interaction. This may justify the epithet “dark” in dark matter.
Based on the above paragraph, which one of the following statements is FALSE?
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Based only on the following passage, which one of the options can be inferred with certainty?
When the congregation sang together, Apeno would also join, though her little screams were not quite audible because of the group singing. But whenever there was a special number, trouble would begin; Apeno would try singing along, much to the embarrassment of her mother. After two or three such mortifying Sunday evenings, the mother stopped going to church altogether until Apeno became older and learnt to behave.
At home too, Apeno never kept quiet; she hummed or made up silly songs to sing by herself, which annoyed her mother at times but most often made her become pensive. She was by now convinced that her daughter had inherited her love of singing from her father who had died unexpectedly away from home.
[Excerpt from These Hills Called Home by Temsula Ao]
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Let
,
, and
. Consider the following numbers:
Which one of the following inequalities is CORRECT?
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If
satisfies the equation
, then
is equal to _____.Your answerChoose one option.
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A square of side length 4 cm is given. The boundary of the shaded region is defined by one semi-circle on the top and two circular arcs at the bottom, each of radius 2 cm, as shown.
The area of the shaded region is ______ cm
. 
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Consider a spherical globe rotating about an axis passing through its poles. There are three points
,
, and
situated respectively on the equator, the north pole, and midway between the equator and the north pole in the northern hemisphere. Let
,
, and
move with speeds
,
, and
, respectively.Which one of the following options is CORRECT?
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