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25.
Some committees are to be formed from amongst 7 women Professors, 5 men Professors, 4 men Readers, 2 women Readers, 11 women Lecturers and 10 men Lecturers following the given conditions in each questions. In how many different ways can it be done based on the conditions?
[1] A committee of 10 in which there are 5 men and 5 women?
1). 39C10
2). 19C5*20C5
3). 19C5*20P5
4). (19P5*20P5)/39P10
5). None of these[2] A committee of 6 Professors in which at least 2 men are there.
(1) 350
(2) 700
(3) 812
(4) 2450
(5) None of these[3] A committee of 25 in which all the lecturers are there. Remaining seats among Professors and Readers.
(1) 12650
(2) 3060
(3) 64260
(4) 6100
(5) None of these[4] A committee of 15 in which only Lecturers are there.
(1) 13650
(2) 352716
(3) 15504
(4) 54264
(5) None of these[5] A committee of 4 Professors in which equal number of men and women are there.
(1) 495
(2) 248
(3) 35
(4) 40
(5) None of theseasked in CET(MH)
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26.
Seven friends M, T, K, Q, R, P & H have taken admissions in three different engineering streams Electrical, Computer and Electronics. At least two students are admitted in each stream. Each one is in a different college A, B, C, D, E, F & G. The order of students’ stream and the college is not necessarily the same. K is admitted to college C in Electronics. The one who studies in college A does not study Computers. M studies in college G but not Electrical or Computers. T & P study in the same stream but not in Electrical. H studies in college F in the same stream as K. Q studies in college B. T does not study in college E.
[1] Who studies in college ‘A’ ?
(1) T
(2) P
(3) R
(4) R or T
(5) None of these[2] Three students study in which of the following streams?
(1) Electrical
(2) Electronics
(3) Electrical or Electronics
(4) Computers
(5) Computers or Electronics[3] Which of the following combinations of student and the stream is correct?
(1) R – computers
(2) Q – Electrical
(3) T – Electrical
(4) R – Electronics
(5) None of these[4] The student studying in college ‘G‘ studies in which stream?
(1) Electrical
(2) Computers
(3) Electronics
(4) Electrical or Electronics
(5) Computers or Electrical[5] R studies in which college and stream?
(1) A – Electrical
(2) A – Electronics
(3) D – Computers
(4) E – Computers
(5) None of theseasked in CET(MH)
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27.
In the following questions the symbols @, #, $, % and * are used with following meaning as illustrated below:
‘A @ B’ means ‘A is neither greater than nor equal to B’
‘A # B’ means ‘A is neither greater than nor smaller than B’
‘A $ B’ means ‘A is not greater than B’
‘A % B’ means ‘A is not smaller than B’
‘A * B’ means ‘A is neither smaller than nor equal to B’.
Now in each of the following questions, assuming the given statements to be true, find which of the two conclusions I & II given below them is/are definitely true?
Give answer (1) if only conclusion I is true.
Give answer (2) if only conclusion II is true.
Give answer (3) if either conclusion I or II is true.
Give answer (4) if neither conclusion I nor II is true.
Give answer (5) if both the conclusions I & II are true.[1] Statements : F @ G, G $ K, K % H
Conclusions: I. G @ H
II. G % H[2] Statements : R $ M, M # N, K * N
Conclusions: I. R @ J
II. J % R[3] Statements : D % E, E @ M, M $ L
Conclusions: I. L % E
II. M * D[4] Statements : K $ V, V $ F, F * B
Conclusions: I. K @ B
II. V $ B[5] Statements : J * H, H % F, F # R
Conclusions: I. J * R
II. H % Rasked in CET(MH)
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