CAT Old Paper - Analytical Reasoning
CAT Old Paper - Analytical Reasoning
Question:-
Option (A)
2,5,3,2
Option (B)
0,5,3,1
Option (C)
1,5,3,2
Option (D)
2,3,5,1
Option (E)
1,3,5,1
Correct Option:
B
Question Solution:
It is given in the question that path BC is under repair, hence available paths to reach from S to T are SBAT, SAT, SDCT and SDT. Now using options, we find that option (b) gives the same cost of travel from S to T.
A = 0, B = 5, C = 3, D = 1
SBAT = 2 + 5 + 2 + 0 + 5 = Rs 14
SAT = 9 + 0 + 5 = Rs 14
SDCT = 7 + 1 + 1 + 3 + 2 = Rs 14
SDT = 7 + 1 + 6 = Rs 14
Question:-
Option (A)
0,5,4,1
Option (B)
0,5,2,2
Option (C)
1,5,3,3
Option (D)
1,5,3,2
Option (E)
0,4,3,2
Correct Option:
D
Question Solution:
Traffic among the different paths will be evenly distributed if the cost of travel (fuel cost plus toll charges) is same through all the given routes. Option (d) gives the cost of travel through all the routes as same.
A = 1, B = 5, C = 3, D = 2
S -> : SAT = 9+1+5 = Rs 15
S -> B : SBAT = 2+5+2+1+5 = Rs 15
SBCT = 2+5+3+3+2 = Rs 15
S -> D : SDCT = 7+2+1+3+2 = Rs 15
SDT = 7+2+6 = Rs 15
Question:-
Option (A)
1,5,3,3
Option (B)
1,4,43
Option (C)
1,5,4,2
Option (D)
0,5,2,3
Option (E)
0,5,2,2
Correct Option:
E
Question Solution:
Traffic from D to T is restricted hence available routes through A and C are SAT, SBAT, SBCT, SDCT. Option (e) given the same cost of travel.
SAT = 9+0+5 = Rs 14
SBAT = 2+5+2+0+5 = Rs 14
SBCT = 2+5+3+2+2 = Rs 14
SDCT = 7+2+1+2+2 = Rs 14
Question:-
Option (A)
0,52,2
Option (B)
0,5,4,1
Option (C)
1,5,3,3
Option (D)
1,5,3,2
Option (E)
1,5,4,2
Correct Option:
D
Question Solution:
For option (d) we have
A = 1, B = 5, C = 3, D = 2
SAT = 9+1+5 = Rs 15
SBAT = 2+5+2+1+5 = Rs 15
SDT = 7+2+6 = Rs 15
SDCT = 7+2+1+3+2 = Rs 15
SBCT = 2+5+3+3+2 = Rs 15
Question:-
Option (A)
Rs 7
Option (B)
Rs 9
Option (C)
Rs 10
Option (D)
Rs 13
Option (E)
Rs 14
Correct Option:
C
Question Solution:
Option (a) is ruled out because cost incurred from S to T will be Rs 7 only through SBCT assuming toll charges as B = 0 and C = 0, but in this case all traffic will be move through junction B.
Option (b) is ruled out because cost incurred from S to T will be Rs 9 when toll at B = 0 and C = 2. In this case also all traffic will be diverted though junction B.
Using option (c) we find that if toll charges at B = 3 and C = 0, then travel cost from S to through B will be Rs 10.
SBCT = 2+3+3+0+2 = Rs 10
and the same cost will be incurred through
SDCT = 7+0+1+0+2 = Rs 10
Since Rs 10 is the least hence option (d) and (e) are ruled out.
Question:-
Directions (Qs. 6-10): Answer the questions based on following information.
K, L, M, N, P. Q, R, S, U and W are the only ten members in a department. There is a proposal to form a team from within the members of the department. Subject to the following conditions:
1. A team must include exactly one among P. R, and S.
2. A team must include either M or Q, but not both.
3. If a team includes K. then it must also include L, and vice versa.
4. If a team includes one among S. U. and W, then it must also include the other two.
5. L and N cannot be members of the same team.
6. L and U cannot be members of the same team.
The size of a term is defined as the number of members in the team.
What would be the size of the largest possible team?
Option (A)
8
Option (B)
7
Option (C)
6
Option (D)
5
Option (E)
Can not determined
Correct Option:
D
Question Solution:
To have the largest possible team we should include S, U and W.
=> Neither P nor R is included.
Only one among M and Q is included. Both K and L can be included. Since, L is included neither N nor U can be included. Hence, the maximum possible strength of the team is 5.