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Logical Reasoning for CAT 2015

DAY 8- SET 2

Ashish, Mohit, Pranjal and Saket secured the top four positions, in no particular order, in a summer project competition called The Daunting Venture 2012 . Each of them was from a different institute among IST, IPD, IDF and IFM and had a different project among P1, P2, P3 and P4. It is also known that:
(i) The project of the person who secured the 4th position was P3 and he was from IFM.
(ii) The person from IST secured the 2nd position.
(iii) The project of the person who secured the 3rd position was P4.
(iv) Mohit s project was P2, and he did not secure the 2nd position.
(v) Ashish was from IDF.

1. Who secured the 1st position?
(a) Pranjal (b) Mohit (c) Saket (d) Cannot be determined

2. If Pranjal was not from IST, then what were the projects of Ashish and Saket respectively?
(a) P3 and P4 (b) P4 and P3 (c) P4 and P2 (d) P4 and P1



SOLUTION

From statements (i) (ii) and (iv), Mohit must have secured 1st position and he was from IPD. Now, from statements (i), (ii) and (v), it can be concluded that the position secured by Ashish was 3rd. From statement (iii), his project title was P4. Further analysis leads to the following table

Position secured      Name of the Participant     Project Title    Name of the Institute

1                                   Mohit                             P2                        IPD

2                             Pranjal/Saket                       P1                        IST

3                                   Ashish                            P4                        IDF

4                           Saket/Pranjal                         P3                        IFM


1. b Mohit secured 1st position.

2. d P4 & P1.

1 Day(s) 12 Hour(s) ago Read

Logical Reasoning for CAT 2015

DAY 8 - SET 1

Four friends - F1, F2, F3 and F4 - visited the New Delhi World Book Fair 2012. Each of them bought a different book among Magic Island, Fragmented Frames, Unlikely Hero and Eternal Romantic. They unanimously decided that each of them would read all the four books in the next four weeks such that each person would read exactly one book in a week, and they would meet at the end of each of the first three
weeks to redistribute the books. It is also known that:
(i) F3 was the first one to read Fragmented Frames, and F1 was not the last one to read the same.
(ii) The first book read by each of the four friends was not the one which he/she had bought.
(iii) The 2nd and the 3rd books read by F2 were Eternal Romantic and Fragmented Frames respectively.
(iv) The 3rd book read by F4 was Unlikely Hero. The last book read by F3 was Eternal Romantic.
(v) The last person who read Magic Island was not F2.

1. Who among the following did certainly not buy Magic Island?
(a) F1 (b) F4 (c) F2 (d) F3

2. Which was the first book read by F1?
(a) Unlikely Hero (b) Magic Island (c) Eternal Romantic (d) Fragmented Frames



SOLUTION

As each of the friends read a book in a week and all the four books were read in each of the four consecutive weeks, the order in which a book was read by a person and the order in which a person read this book would have been the same. From statements (i) and (iii), the last one who read Fragmented Frames must have been F4. Therefore, the second one who read Fragmented Frames was F1. From statement (iv), the second one who read Unlikely Hero must have been F3 and that of Magic Island must have been F4 as 3rd book read by F4 was Unlikely Hero; the third one who read Eternal Romantic must have been F1 and that of Magic Island must have been F3 as F3 was the last person to read Eternal Romantic. Therefore, the first one who read Eternal Romantic must have been F4.


                                         1st    2nd    3rd     4th

Magic Island                     F2     F4      F3      F1

Fragmented Frames        F3     F1      F2      F4

Unlikely Hero                    F1     F3      F4      F2

Eternal Romantic              F4     F2      F1      F3


1.c F2

2.a Unlikely Hero

1 Day(s) 12 Hour(s) ago Read

Logical Reasoning for CAT 2015

DAY 7- SET 2

Six department heads of an organization were to attend four meetings, each lasting for an hour, from 10:30 a.m. to 2:30 p.m. to discuss various aspects of business. Each of the four meetings was attended by exactly four of the six persons. After each meeting, exactly one person left the group and exactly one person joined. It is also known that:
(i) The Marketing head joined the group at 11:30 a.m. and the Finance head left at 1:30 p.m. These two persons attended equal number of meetings.
(ii) The Operations head rejoined the group at 1:30 p.m.
(iii) The IT head joined the group for the first time when the Statistics head left.
(iv) One of the department heads was from HR.
(v) The meetings were held back-to-back and nobody left/joined in between any meeting.

1. How many meetings were attended by the HR head?
(a) 1 (b) 2 (c) 3 (d) 4

2. Which of the following is an incorrect combination of department heads who attended any of the meetings together?
(a) HR, Finance, Statistics, Operations
(b) Operations, HR, IT, Marketing
(c) Finance, Marketing, HR, Operations
(d) Marketing, IT, HR, Finance

3. Which department head left the group after the first meeting?
(a) Statistics (b) Operations (c) HR (d) None of these



SOLUTIONS

The slots for the four meetings were 10:30 a.m. - 11:30 a.m.,

11:30 a.m. - 12:30 p.m., 12:30 p.m. - 1:30 p.m. and

1:30 p.m. - 2:30 p.m.

From statements (i) and (iii), it can be concluded that the heads of Marketing and IT weren t present in the 1st meeting. Since the Marketing head joined before the 2nd meeting and the Operations head rejoined before the 4th meeting, from statement (iii), the IT head must have joined before the 3rd meeting and the Statistics head must have left after the 2nd

meeting.Now, since the Operations head rejoined in the 4th meeting, he must have left after the 1st meeting.

From statement (i), the number of meetings attended by the Finance and Marketing heads must be 3 each. So the Finance

head attended the 1st, 2nd and 3rd meetings while the Marketing head attended the 2nd, 3rd and 4th meetings.

Further analysis leads to the table given below.

Meeting      Time Slot                          Head who joined    Heads Present     Head who left

1st       10:30 a.m. -11:30 a.m.                    -                      Op, Fi, St,HR            Op

2nd     11:30 a.m. -12:30 p.m.                  Mk                       Mk, Fi, St,HR           St

3rd       12:30 p.m. -1:30 p.m.                   IT                        IT, Fi, Mk,HR            Fi

4th       1:30 p.m. -2:30 p.m.                    Op                       Op, Mk, IT, HR           -


Note: Op ? Operations, Mk ? Marketing, St ? Statistics and  Fi ? Finance

1. d 4

2. c Finance, Marketing, HR, Operations

3. b Operations

2 Day(s) 13 Hour(s) ago Read

Logical Reasoning for CAT 2015

DAY 7- SET 1

Six students - Abhay, Bharat, Dhruv, Gopi, Karan and Suraj - appeared in a test. They were ranked 1 to 6,
in no particular order, based on their scores in the test. It is also known that:
(i) Exactly two students were ranked between Dhruv and Abhay.
(ii) Exactly one student was ranked between Suraj and Dhruv.
(iii) The rank of Karan was worse than the ranks of both Abhay and Dhruv.
(iv) The rank of Bharat was better than that of Abhay.

1. Who got Rank 5?
(a) Abhay (b) Dhruv (c) Karan (d) Cannot be determined

2. Which of the following could not be the rank of Gopi?
(a) 1 (b) 2 (c) 3 (d) 5

3. Gopi was disqualified from the test as he was found copying. If the remaining five students were
ranked 1 to 5, who got Rank 1?
(a) Dhruv (b) Abhay (c) Bharat (d) Cannot be determined




SOLUTION

The rank of Bharat was better than that of Abhay. The rank of Karan was worse than the ranks of both Abhay and Dhruv.

Three cases are possible.

Case- I- The ranks of Abhay and Dhruv were 2 and 5 respectively. The ranks of Bharat and Karan were 1 and 6 respectively. From statement ii, Suraj's rank would be 3. Thus , rank of Gopi would be 4.

Case-II: The ranks of Abhay and Dhruv were 5 and 2 respectively. Then the rank of Karan would be 6. From statement (ii), Suraj s rank would be 4. Hence, the ranks of Bharat and Gopi would be 1 and 3, in no particular order.

Case-III: The ranks of Abhay and Dhruv were 4 and 1 respectively. Then the rank of Karan would be either 5 or 6.

From statement (ii), Suraj s rank would be 3. Hence, the rank of Bharat was 2 and the rank of Gopi was either 5 or 6.


1. d The person who got Rank 5 cannot be uniquely

determined.

2. b Gopi could not have got Rank 2.

3. a If Gopi was disqualified, Case-I is ruled out.. Thus dhruv gets rank 1 in both the cases left.

2 Day(s) 13 Hour(s) ago Read
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