26.  Seven people - A, B, C, D, E, F and G - are standing in a single file line, facing a booth. E is somewhere ahead of F. There is exactly one person standing between C and G. D is immediately behind A. F is behind both B and D. If D and C are fourth and fifth in line respectively, then which of the following must be true?


A is first
B is first
F is sixth
F is seventh


Answer

 Option

D is immediately behind A i.e. A, D. D and C are fourth and fifth respectively i.e. _, _, A, D, C, _, _. There is exactly one person between C and G i.e. _, _, A, D, C, _, G. F is behind B, D and E. So, F is between C and G while the first two positions are taken by B and E. Thus, the sequence becomes: B/E, B/E, A,D, C, F, G. Clearly, F is sixth in the line.

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27.  Seven children A, B, C, D, E,F and G are standing in a line. G is to the right of D and to the left of B. A is on the right of C. A and D have one child between them. E and B have two children between them. D and F have two children between them.
Who is on the extreme right ?


B
E
F
G


Answer

 Option

G is to the right of D and to the left of B i.e. D, G, B. A is on the right of C i.e. C, A. E and B have two children between them i.e. E, D, G, B. A and D have one child between them i.e. C, A, E, D, G, B. Since D and F have two children between them, the arrangement from left to right in the line becomes : C, A, E, D, G, B, F. F is on the extreme right.

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28.  From time to time, the managing direr of a Company appoints Planning Committees, each consisting of exactly three members. Eligible for appointment are three executives from Finance - B, C and D - and three executives from Operations - E, F and M.
Any given committee is subject to the following restrictions on appointments:
(i) At least one member must be from Finance, and at least one member must be from Operations.
(ii) If B is appointed, C cannot be appointed.
(iii) Neither D nor F can be appointed unless the other is also appointed.
(iv) If E is appointed, M must be appointed.
If appointed from Finance are in majority on a committee, that committee must include


B
C
F
M


Answer

 Option

Clearly, the committee has two executives from Finance and one executive from Operations. Since B and C cannot go together, the two executives from Finance must be D and either B or C. If D is appointed, F must also be appointed. Thus, the committee must include F.

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29.  From time to time, the managing direr of a Company appoints Planning Committees, each consisting of exactly three members. Eligible for appointment are three executives from Finance - B, C and D - and three executives from Operations - E, F and M.
Any given committee is subject to the following restrictions on appointments:
(i) At least one member must be from Finance, and at least one member must be from Operations.
(ii) If B is appointed, C cannot be appointed.
(iii) Neither D nor F can be appointed unless the other is also appointed.
(iv) If E is appointed, M must be appointed.
Which of the following is an acceptable committee ?


E, F and M
D, E and F
D, F and M
B, D and M


Answer

 Option

(a) violates (iii) and so is not acceptable. (b) violates (iv) and so is not acceptable. (d) violates (iii) and so is not acceptable.

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30.  Five friends A, B, C, D and E are standing in a row facing South but not necessarily in the same order. Only B is between A and E, C is immediate right to E and D is immediate left to A. On the basis of above information, which of the following statements is definitely true ?


B is to the left of A.
D is third to the left of E.
B is to the right of E.
A is second to the left of C.


Answer

 Option

Since the friends are standing facing South, so your left and right shall be taken as their right and left respectively. C is immediate right to E. So, we have : C, E. D is immediate left to A. So, we have : A, D. Since B is between A and E, so the sequence becomes : C, E, B, A, D. Thus, (i) B is to the right of A; (ii) D is third to the left of E; (iii) B is to the left of E; (iv) A is third to the left of C.

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