Questions 461–470 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 47 of 65

Question 6

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The police arrested four criminals – P, Q, R and S. The criminals knew each other. They made the following statements: P says “Q committed the crime.” Q says “S committed the crime.” R says “I did not do it.” S says “What Q said about me is false.” Assume only one of the arrested four committed the crime and only one of the statements made above is true. Who committed the crime?
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Question 7

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In the given diagram, teachers are represented in the triangle, researchers in the circle and administrators in the rectangle. Out of the total number of the people, the percentage of administrators shall be in the range of .
Diagram for Chemical Engineering question 7

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Question 8

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“A recent High Court judgement has sought to dispel the idea of begging as a disease — which leads to its stigmatization and criminalization — and to regard it as a symptom. The underlying disease is the failure of the state to protect citizens who fall through the social security net.”
Which one of the following statements can be inferred from the given passage?
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Question 9

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In a college, there are three student clubs. Six students are only in the Drama club, 80 students are only in the Dance club, 30 students are only in the Maths club, 10 students are in both Drama and Dance clubs, 12 students are in both Dance and Maths clubs, 7 students are in both Drama and Maths clubs, and 2 students are in all the clubs. If 75% of the students in the college are not in any of these clubs, then the total number of students in the college is _____.
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Question 10

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Three of the five students allocated to a hostel put in special requests to the warden. Given the floor plan of the vacant rooms, select the allocation plan that will accommodate all their requests.
Request by X: Due to pollen allergy, I want to avoid a wing next to the garden. Request by Y: I want to live as far from the washrooms as possible, since I am very sensitive to smell. Request by Z: I believe in Vaastu and so want to stay in the South-west wing.
The shaded rooms are already occupied. WR is washroom.
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Question 1

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A system of

homogeneous linear equations containing

unknowns will have non-trivial solutions if and only if the determinant of the coefficient matrix is
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Question 2

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The value of the expression

is
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Question 3

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Consider a rigid, perfectly insulated, container partitioned into two unequal parts by a thin membrane (see figure). One part contains one mole of an ideal gas at pressure

and temperature

while the other part is evacuated. The membrane ruptures, the gas fills the entire volume and the equilibrium pressure is

. If

(molar specific heat capacity at constant pressure),

(molar specific heat capacity at constant volume) and

(universal gas constant) have the same units as molar entropy, the change in molar entropy

is
Diagram for Chemical Engineering question 3

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Question 4

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For a single component system, vapor (subscript

) and liquid (subscript

) coexist in mechanical, thermal and phase equilibrium when
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Question 5

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For a binary nonideal A-B mixture exhibiting a minimum boiling azeotrope, the activity coefficients,

(

), must satisfy
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