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AIMCAT0917-18

Mr. Khan, a political leader, gathered exactly 100attendees fro one of his meetings. He never allowsgirls to attend his meetings, while women areallowed to attend his meetings, only if they aremarried and come to the meeting with their

husbands. Also, at least half of the men who cometo his meetings, come along with their wives. If eachman is paid Rs.5, each woman is paid Rs.4 and eachboy is paid Re.1 for attending the meeting and Mr.Khan paid Rs.200, on the whole, to the attendees,

find the difference between the number of men andthe number of women attending the meeting.

(1) 12 (2) 8 (3) 4 (4) 10 (5) Cannot be determined

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AIMCAT0917-29

In a group of 100 students, each student has to opt for one ormore of the three subjects among Physics, Chemistry andMathematics. The number of students who opted forMathematics is more than the number of students who optedfor Physics, which, in turn, is more than the number of studentswho opted for Chemistry, which, in turn, is more than the

number of students who opted for exactly two of the threesubjects, which, in turn, is more than the number of studentswho opted for all the three subjects. It is also known that atleast one student opted for all the three subjects.

If it is known that exactly half the students opted forMathematics, what is the maximum possible number ofstudents who study all the three subjects?

(1) 15 (2) 16 (3) 17 (4) 18 (5) 19

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AIMCAT0918-10

In a school, 20 students play Cricket, 30play Basketball and 50 play Hockey. If thenumber of students who play exactly one

game is 30 and the number of studentswho play exactly two games is 20, find thenumber of students who play all the threegames.

(1) 20 (2) 15 (3) 16 (4) 10 (5) 0

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AIMCAT0920-12

In a school, there are seven class rooms, one each forclasses I through VII. These rooms were built around a

circular garden such that classes I to VII are

accommodated in that order. The following table give the

sum of the number of students in any group of threeconsecutively situated classes.

continue 6, 7

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Classes Total students

I, II, III 300

II, III, IV 280III, IV, V 240

IV, V, VI 195

V, VI, VII 215

VI, VII, I 235

VII, I, II 260

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The percentage of girls in different classes are 30%, 40%, 44%,45%, 50%, 55% and 60% not necessarily in any order.

At least how many classes contain more than 30 girls?

(1) 1 (2) 2 (3) 3 (4) 4 (5) 5

What is the maximum possible difference in the number of boys inone class and the number of girls in another class?

(1) 42 (2) 45 (3) 54 (4) 60 (5) 63

It is known that X classes have an equal number of girls, what isthe maximum possible value of X?

(1) 2 (2) 3 (3) 4 (4) 5 (5) None of these

At most how many classes can have more than 40 girls?

(1) 3 (2) 4 (3) 5 (4) 2 (5) None of these

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AIMCAT0920-13

In a city where people were troubled by

their waist sizes, the people enrolledfor Waist Size ManagementProgramme named as WSMP. Fiveleading coaches were identified. The

job of each coach was to facilitate thechange in waist size of the aspirantenrolled for WSMP. Each coach, at anypoint of time, was identified by aneight-digit id. This eight-digit idcaptured the following four parametersrelated to the coach:

continue 9, 10, 11

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(i) number of people enrolledunder that coach.

(ii) minimum waist size (in inches)of any aspirant enrolled under thatcoach.(iii) maximum waist size (in inches)of any aspirant enrolled under that

coach.(iv) Average waist size (in inches)of all the persons enrolled underthat coach.

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Each of the above listed four values was atwo-digit integral number, representingtwo consecutive digits of the id. However,the id was not made with any specificorder of the four parameters.

The five WSMP coaches were identified byids as 20222426, 14161820, 12151620,18202224 and 20242628.

The waist size (in inches) of any person, atany point of time, was an integral number.

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The total number of persons with a waist size of atleast 18 inches and enrolled under any of the fivecoaches, is at most

(1) 102 (2) 103 (3)101 (4) 99 (5) None of these

The total number of persons with a waist size of atmost 20 inches and enrolled under any of the fivecoaches, is at least

(1) 28 (2) 27 (3) 29 (4) 47 (5) None of these

If X is the average waist size (in inches) of all thepersons enrolled for the programme under all the fivecoaches, put together then which of the following istrue regarding X?

(1) 19 < x