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# Statement and Conclusion Questions

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Is the length of a side of equilateral triangle E less than the length of a side of square F?

1. The perimeter of E and the perimeter of F are equal.
2. The ratio of the height of triangle E to the diagonal of square F is 2?3 : 3?2.

Astatement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question

Bstatement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question

Cboth statements taken together are sufficient to answer the question, but neither statement alone is sufficient

Deach statement alone is sufficient

Estatements 1 and 2 together are not sufficient, and additional data is needed to answer the question

Explanation:

Here is no explanation for this answer

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If a and b are both positive, what percent of b is a?

1. a = 3/11
2. b/a = 20

Astatement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question

Bstatement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question

Cboth statements taken together are sufficient to answer the question, but neither statement alone is sufficient

Deach statement alone is sufficient

Estatements 1 and 2 together are not sufficient, and additional data is needed to answer the question

Explanation:

Here is no explanation for this answer

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A wheel of radius 2 meters is turning at a constant speed. How many revolutions does it make in time T?

1. T = 20 minutes.
2. The speed at which a point on the circumference of the wheel is moving is 3 meters per minute.

Astatement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question

Bstatement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question

Cboth statements taken together are sufficient to answer the question, but neither statement alone is sufficient

Deach statement alone is sufficient

Estatements 1 and 2 together are not sufficient, and additional data is needed to answer the question

Explanation:

Here is no explanation for this answer

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Are the integers x, y and z consecutive?

1. The arithmetic mean (average) of x, y and z is y.
2. y-x = z-y

Astatement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question

Bstatement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question

Cboth statements taken together are sufficient to answer the question, but neither statement alone is sufficient

Deach statement alone is sufficient

Estatements 1 and 2 together are not sufficient, and additional data is needed to answer the question

Explanation:

Here is no explanation for this answer

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Is x > 0 ?

1. -2x < 0
2. x > 0

Astatement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question

Bstatement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question

Cboth statements taken together are sufficient to answer the question, but neither statement alone is sufficient

Deach statement alone is sufficient

Estatements 1 and 2 together are not sufficient, and additional data is needed to answer the question

Explanation:

Here is no explanation for this answer

Workspace

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A certain straight corridor has four doors, A, B, C and D (in that order) leading off from the same side. How far apart are doors B and C?

1. The distance between doors B and D is 10 meters.
2. The distance between A and C is 12 meters.

Astatement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question

Bstatement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question

Cboth statements taken together are sufficient to answer the question, but neither statement alone is sufficient

Deach statement alone is sufficient

Estatements 1 and 2 together are not sufficient, and additional data is needed to answer the question

Explanation:

Here is no explanation for this answer

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Given that x and y are real numbers, what is the value of x + y ?

1. (x^2 - y^2)/(x-y) = 7
2. (x + y)^2 = 49

Astatement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question

Bstatement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question

Cboth statements taken together are sufficient to answer the question, but neither statement alone is sufficient

Deach statement alone is sufficient

Estatements 1 and 2 together are not sufficient, and additional data is needed to answer the question

Explanation:

option D

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Choose the correct option.

Statements:
Wind is an inexhaustible source of energy and an aerogenerator can convert it into electricity. Though not much has been done in this field, the survey shows that there is vast potential for developing wind as alternative source of energy.

Conclusions:
I. Energy by wind is comparatively newly emerging field.
II. The energy crisis can be dealt by exploring more in the field of aero-generation.

AOnly conclusion I follows

BOnly conclusion II follows

CEither I or II follows

DNeither I nor II follows

EBoth I and II follow

Explanation:

The phrase 'not much has been done in this field' indicates that wind energy is a comparatively newly emerging field. So, I follows. The expression 'there is vast potential for developing wind as alternative source of energy' proves II to be true.

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Choose the correct option.

Statements:
The average number of persons per household is 5 in urban areas whereas it is 7 in rural areas. The national average is 6.

Conclusions:
I. The population per unit area in the rural areas is higher than in the urban areas.
II. More persons live in the same household in the rural areas as compared to those in the urban areas.

AOnly conclusion I follows

BOnly conclusion II follows

CEither I or II follows

DNeither I nor II follows

EBoth I and II follow

Explanation:

The population per household and not the population per unit area is being talked about in the statement. So, only II follows while I does not.

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Choose the correct option.

Statements:
Government has spoiled many top ranking financial institutions by appointing bureaucrats as Directors of these institutions.

Conclusions:
I. Government should appoint Directors of the financial institutes taking into consideration the expertise of the person in the area of finance.
II. The Director of the financial institute should have expertise commensurate with the financial work carried out by the institute.

AOnly conclusion I follows

BOnly conclusion II follows

CEither I or II follows

DNeither I nor II follows

EBoth I and II follow

Explanation:

According to the statement, Government has spoiled financial institutions by appointing bureaucrats as Directors. This means that only those persons should be appointed as Directors who are experts in finance and are acquainted with the financial work of the institute. So, both I and II follow.

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