GATE-2011
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C
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D
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D
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MTA
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48. C
49. B
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50. B
51. D
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52. B
53. C
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54. C
55. B
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I contemplated visiting Singapore for my vacation but decided against it.
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B
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Inexplicable
Inexplicable
Meaning: Unable to be explained or accounted for.
Example: The disappearance of the plane remains inexplicable.
Incomprehensible
Incomprehensible
Meaning: Impossible to understand.
Example: Her complex theories were incomprehensible to most people.
Indelible
Indelible
Meaning: Impossible to remove, erase, or forget.
Example: The memory of that day left an indelible mark on her mind.
Inextricable
Inextricable
Meaning: So closely connected or entangled that it cannot be separated.
Example: The two friends were inextricably linked by their shared experiences.
Infallible
Infallible
Meaning: Incapable of making mistakes or being wrong.
Example: No one is infallible; everyone makes mistakes
Incomprehensible and Inexplicable: Both words convey a similar meaning of being unable to be understood.
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D
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Amalgamate Opposite
Amalgamate Opposite
Amalgamate means to combine or unite things.
The opposite of amalgamate would be to separate things.
So, the correct answer is: (D) separate
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B
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The sentence is looking for a word that is similar in meaning to "understated" and "tentative," and which also conveys the opposite of making a strong impression.
Restrained means controlled, reserved, or timid, which fits perfectly with the context of the sentence.
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A
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Variable cost (V) = 4q
Fixed cost (F) = 100/q
Total cost (TC) = V + F = 4q + 100/q
To minimize a function, we typically find its derivative and set it equal to zero.
TC = 4q + 100/q
dTC/dq = 4 - 100/q^2
Set the derivative equal to zero:
4 - 100/q^2 = 0
4q^2 = 100
q^2 = 25
q = ± 5
Since the quantity produced cannot be negative, we take q = 5.
Therefore, 5 units should be produced to minimize the total cost.
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D
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C
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Awareness about the leading cause of death is not related to curricula on how to deal with bereavement and grief.
curricula on how to deal with bereavement and grief should have focus on healing from grief after death of near & dear ones.
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D
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First replacement:
1 liter of spirit is replaced with 1 liter of water.
So, in container 9 liters of spirit remains and 1 liter of water will be present.
Second replacement:
The mixture now contains 9 liters of spirit and 1 liter of water, making a total of 10 liters.
1 liter of this mixture (which contains 9/10 liter of spirit) is replaced with 1 liter of water.
So, spirit left = 9 - (9/10) = 8.1 liters.
Water = 10 - 8.1 = 1.9 liters
Third replacement:
The mixture now contains 8.1 liters of spirit and 1.9 liters of water, making a total of 10 liters.
1 liter of this mixture (which contains 8.1/10 liter of spirit) is replaced with 1 liter of water.
So, spirit left = 8.1 - (8.1/10) = 7.29 liters.
Therefore, after the third replacement, there are 7.29 liters of spirit left in the container.
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C
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