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Solutions for LAHO2001814 Solutions for questions 1 to 5: From (i), C bought peacock either or 4th April or 4th June. From (ii), E bought a pet on 4th May. From (iii), D bought a pet on 4th March and A bought a pet on 9th March. From (iv), we get the following arrangements. March (31)
Month
April (30)
Date
4th
9th
4th
9th
Case 1
D
A
C Peacock
Case 2
D
A
G
B Dog
May (31)
June (30)
4th
4th
9th
E
G
B Dog
E
C Peacock
9th
From (v), it is not possible to place the person who bought a dove in case 1. So, it is eliminated. In case 2 G bought a dove. From (vi), E bought a parrot and A bought a rabbit. From (vii) and (viii), F bought a pet on 9th May. H bought a cat on 9th June. The final arrangement is as follows: Month Date Person
March 4th 9th D A Sparrow Rabbit
April 4th 9th G B Dove Dog
1.
D bought a sparrow.
Choice (1)
2.
H bought a cat.
Choice (3)
3.
B bought a pet on 9th April.
Choice (4)
May 4th 9th E F Parrot Turtle
June 4th C Peacock
9th H Cat
4.
Two persons bought pets after the person who bought a turtle. Choice (5)
5.
The person who bought a dog bought a pet immediately before the person who bought a parrot. Choice (2)
Solutions for questions 6 to 10: From (i) and (ii), he gave the lectures on Wednesday, on the gains of trade and on personal finance in the months of either January, March and November respectively or in the months of September, October and January respectively. From (iv), he gave the lecture on consumers in April. From (iii), (v), (vi) and the information given above, we get the following possible cases: Months January (31)
Case 1 Wednesday
Case 2 Wednesday Markets
March (31)
Thursday Gains of Trade
Gains of Trade
Consumers
Consumers
Social Security
Social Security Thursday
Saturday Markets Monday Personal Finance
Saturday
April (30)
Case 3 Thursday Personal Finance
Monday Consumers
July (31) September (30) October (31) November (30)
Social Security Wednesday Markets Saturday Gains of Trade
Monday Personal Finance
From (vii), he gave lecture on public goods in January in case 1, in October in case 2 and in March in case 3. From (ix) and (x), case 2 and case 3 are eliminated since we cannot place Friday. From (viii) and the information given above, the final arrangement is as follows: Months
Days
Topics
January
Wednesday Public Goods
March
Thursday
Gains of Trade
April
Tuesday
Consumers
July
Friday
Social Security
September Sunday
Corporate finance
October
Saturday
Markets
November
Monday
Personal Finance
Triumphant Institute of Management Education Pvt. Ltd. (T.I.M.E.), 95B, Siddamsetty Complex, Park Lane, Secunderabad – 500 003. All rights reserved. No part of this material may be reproduced, in any form or by any means, without permission in writing. This course material is only for the use of bonafide students of Triumphant Institute of Management Education Pvt. Ltd. and its licensees/franchisees and is not for sale. (5 pages) (agcs/agct) LAHO2001814.Sol/1
From (iv) and (v), only D bought a shirt on 21st of the month. From (vi) and the information given above, A, B and C bought black-coloured shirts on 14th 9th and 26th respectively. From (vii), M and N bought shirts on 9th of the month and J bought on the 26th. K bought shirts on 9th. So, M and N bought blue and green shirt in any order. L bought a shirt on the 26th. From (viii), N and D bought blue shirts. The final arrangement is as follows:
6.
Vijay gave a lecture on corporate finance on Sunday. Choice (2)
7.
In July he gave a lecture on Friday.
8.
In November he gave a lecture on Personal Finance. Choice (5)
9.
He gave five lectures between the months on which he give the lectures on Monday and Wednesday. Choice (1)
Choice (4)
Person
Colour
Date
A
Black
14th
10. He gave a lecture on the topic consumers immediately after the month in which he had given a lecture given on Thursday. Choice (2)
B
Black
9th
C
Black
26th
Solutions for questions 11 to 15:
D
Blue
21st
E
Blue
14th
J
White
26th
K
White
9th
L
Blue
26th
M
Green
9th
N
Blue
9th
From (i), (i) and (iii), we get the following information. Person
Colour
Date 14th
A B C D E
11. Among the given choices, A bought a black shirt. Choice (3)
14th
Blue
J K
White
L
Blue
12. M bought green-coloured shirt.
Choice (4)
13. A blue shirt was bought by most of the persons. Choice (3)
M 14. None of the given statements is true.
N
Choice (5)
15. All, except L, bought shirts on odd-numbered dates. Choice (2) Solutions for questions 16 to 20: From (i), (ii) and (iii) R gave the lecture either at 9am or at 2pm on Wednesday. The one who gave the lecture on Chemistry gave it either on Monday 2 pm or on Tuesday 9 am. The one who gave lecture on Biology gave it on Tuesday 9 am or 2 pm. P gave the lecture at 2 pm on Thursday and on statistics. From the above information we get the following arrangements: Monday
Tuesday
9 am 2 pm
9 am
Case (i) Case (ii)
Wednesday
2 pm
Friday
9 am 2 pm 9 am 2 pm
Chemistry Biology Chemistry Biology
Thursday
9 am
2 pm
P Statistics P Statistics
R R
From (iv), (v), (vi) and the above information, case (ii) is eliminated since we cannot place S. In case (i) the one who gave the lecture on Accounts gave the lecture on either at 9 am of Monday or at 9 am on Wednesday. S gave the lecture at 9 am on Tuesday. From (vii), (viii) and the above information V gave the lecture on 2 pm on Monday and Q gave lecture on Monday at 9 am. From the above information we get the following arrangements. Monday 9 am Case (i)
Q
Tuesday
2 pm V Computers
9 am S Chemistry
Wednesday
2 pm
9 am
Biology
2 pm
Thursday 9 am
R
Friday
2 pm P Statistics
9 am
2 pm
From (ix), (x) and the above information, The one who gave the lecture on Electronics gave on Friday 9 am. From (xi), the one whose lecture was on Psychology gave it on Thursday at 9 am. X gave the lecture on Tuesday at 2 pm. Thus from (vii) R gave the lecture on Mathematics. T gave the lecture on Accounts. Y gave the lecture on Psychology. U gave the lecture on Electronics. Q gave the lecture on Mechanics. W gave the lecture on Physics on Friday at 2 pm. The final arrangement is as follows: Monday
Tuesday
Wednesday
Thursday
Friday
9 am
2 pm
9 am
2 pm
9 am
2 pm
9 am
2 pm
9 am
2 pm
Q
V
S
X
T
R
Y
P
U
W
Mechanics
Computers
Chemistry
Biology
Accounts
Mathematics
Psychology
Statistics
Electronics
Physics
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16. The one who gave the lecture on Electronics gave it on Friday at 9 am. Choice (4)
Months
17. T gave the lecture on immediately after X gave it. Choice (1) 18. Except W, all the others gave the lecture at 9 am. Choice (3) 19. V gave the lecture on Monday.
Spell bee
39 Drama
5
14th
Skating
11 Poetry
35
March (31)
6th
July (31)
August (31)
January (31)
Case 1
Case 2
6th 14th
November (30)
Months
Poetry
6th March
14th April (30)
6th
April
14th July (31)
August (31)
32
6th
Photography 7
Photography 7
14th
Dancing
Dancing
July
August
6th November 14th
November (30)
32
Poetry
6th 14th
Debate
6th
44 Designing
44
14th
Designing
32
32
6th
Photography 7
Photography 7
14th
Dancing
Dancing
6th
Drama
5
14th
Poetry
35 Skating
11
6th
Debate
14th
Essay
28 Essay
28
Spell bee
39
From (vii), case 2 is not possible. Hence it is eliminated. In case 1, 42 students participated in debate. From (viii), painting competition was held on 14th April and drawing competition was held on 6th March. From (ix) (x) and the above information 19 students participated in singing, 23 students participated in dancing and 27 students participated in drawing. The final arrangement is as follows.
January March (31)
Case 2
6
Solutions for questions 21 to 25:
Dates
Case 1
January (31)
April (30)
20. The one who gave the lecture on Biology gave the lecture on Tuesday. Choice (2)
Months
th
14th
Choice (1)
From (i), essay competition was held either on 6th November or on 14th November. From (ii), photography was held either on 14th April or on 6th July. Either 14 or 7 students participated in photography. From (iii), the only possibility is that the competition in which 32 students participated was held on 14th April, poetry competition was held either on 14th August or on 14th January. The above information can be represented as follows:
Dates
Dates Competition No. of students 6th
Spell bee
39
14th
Skating
11
6th
Drawing
27
14th
Singing
19
6th
Designing
44
14th
Painting
32
6th
Photography
7
14th
Dancing
23
6th
Drama
5
14th
Poetry
35
6th
Debate
42
14th
Essay
28
21. Twenty-three students participated in dancing. Choice (2) Essay
28 Essay
28
22. Singing competition was held on 14th March. Choice (5)
From (iv), spell bee and skating were held in January in case 1 and in August in case 2. Thirty-nine students participated in spell bee and 11 students in skating. From (v), 44 students participated in designing. From (vi), 35 students participated in poetry and 5 students participated in drama which is the only possibility. The further arrangements are as follows:
23. Three competitions were held between debate and photography. Choice (1) 24. The total number of students who participated in the competitions held in the month of April is 76. Choice (3) 25. All, except skating, were held on 6th of a month. Choice (4)
Solutions for questions 26 to 30: From (i), J attended the meeting either on 9th July or 12th July. From (ii), the only possibility is that J attended the meeting on 9th July and L and N attended meetings on 9th May and 12th July in any order. From (iii), the person who went to Bengaluru attended the meeting either on 12th April or on 12th September. The partial arrangements are as follows: Month Date
April(30) 9th
12th
Case 1 Case 2
Bengaluru
May (31) 9th
12th
July (31)
September (30)
9th
12th
9th
12th
L/N
J
N/L
-
Bengaluru
L/N
J
N/L
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From (iv), it is not possible to place the persons who went to Chennai and Delhi in case 1. So, it is eliminated. In case 2, the persons who went to Chennai and Delhi attended the meetings on 9th of July and 9th of September in any order. L attended on 9th May and N attended on 12th July. From (v) and (vi) we get the following cases: Month
April (30) 9th
Date
May (31)
12th
Case (2a)
July (31)
12th
L Dispur
Bengaluru
Jaipur
Bengaluru
Kolkata
Bengaluru
Case (2b) Case (2c)
9th
L Kolkata
9th
September (30) 12th
9th
Jaipur
J Chennai/Delhi
N Kolkata
J Chennai/Delhi
N
Dispur
J Chennai/Delhi
N Dispur
L Jaipur
12th -
Delhi/Chennai Delhi/Chennai Delhi/Chennai
From (vii), we cannot place the person who went to Bhopal in both cases (2b) and (2c). Hence, both cases are eliminated. In case (2a), L went to Bhopal and J went to Chennai. From (viii), H attended the meeting on 9th September and went to Delhi, I attended the meeting on 12th May and M attended the meeting on 9th April. The final arrangement is as follows: Month
April (30)
May (31)
July (31)
September (30)
Date
9th
12th
9th
12th
9th
12th
9th
12th
Person
M Dispur
K Bengaluru
L Bhopal
I Jaipur
J Chennai
N Kolkata
H Delhi
-
26. H went to Delhi.
Choice (3)
29. I attended the meeting exactly between the persons who went to Bengaluru and Kolkata. Choice (1)
27. No one attended the meeting on 12th September. Choice (2) 28. L went to Bhopal.
30. Except H – Jaipur, in all the pairs the given person and the person who went to the given place attended the meetings in the months having the same number of days. Choice (5)
Choice (5)
Solutions for questions 31 to 35: From (i) and (ii) The one who is 37 years old attended the seminar either on Tuesday or on Saturday. From (iii), (iv) and (v) the one who is 64 years old attended the seminar on Monday. Y attended the seminar on Thursday. H attended the seminar on Tuesday in case (i), on Saturday in case (ii). From the above information, we get the following two arrangements:
Case (i) Case (ii)
Monday
Tuesday
Wednesday
Thursday
64
H
G
Y
64
37
Friday
Saturday
Sunday
37
Y
G
H
From (vi) in case (i) the ages of the persons who attend seminar on Tuesday and Friday are 49 and 52 in any order. In case (ii) the ages of the persons who attend seminar on Friday and Saturday are 49 and 52 in any order. From (vii), D and J attended the seminar either on Friday and on Saturday or on Saturday and Sunday respectively. But from (viii), in case (i) D and J did not attend seminar on Friday and Saturday. In case (i) D and J attend seminar on Saturday and Sunday. Thus K attended the seminar either on Monday or on Friday. In case(ii) K attended the seminar on Monday. D and J attended the seminar on Tuesday and Wednesday respectively. From the above information, we get the following arrangements:
Case (i)(a) Case (ii) Case (i)(b)
Monday K 64 K 64 64
Tuesday H 49/52 D 37 H 49/52
Wednesday G 25 J 25
Thursday
Friday
Y
52/49 G 52/49 K 52/49
Y Y 40
G
Saturday D 37 H 52/49 D 37
Sunday J
J
From (ix) and (x) case i(a) and case (ii) are eliminated. In case i(b) B is the eldest person and attended the seminar on Monday. H is 49 years old and attended the seminar on Tuesday. G is 32 years old. Y is 40 years old. K is 52 years old and attended the seminar on Friday. D is 37 years old and J is 25 years old. The final arrangement is as follows. Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
B
H
G
Y
K
D
J
64
49
32
40
52
37
25
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31. The one who is 52 years old attended the seminar on Friday. Choice (3)
33. Except H, all the other is even-numbered aged persons. Choice (5) 34. B attended the seminar on Monday.
32. Two persons attended the seminar between the days on which Y and B attended. Choice (1)
Choice (1)
35. The sum of the ages of G and D is 69 years. Choice (3)
ADDITIONAL QUESTIONS FOR PRACTICE Solutions for questions 1 to 5: From (i), (ii) and (iii) F attended the seminar either on 5th January or on 5th March as G attended the seminar on either attended 12th or 30th of March. From (iv) and the above information, D attends the seminar on 12th of January. A attended the seminar on 27th of January. From the above information, we get the following two possible arrangements: January
Case(i)
March
5th
12th
27th
F
D
A
D
A
Case(ii)
30th
5th
12th
March
27th
30th
5th
12th
27th
30th
G F
G
From (v) and (vi) E attended the seminar on 5th April and J attended the seminar on 30th April in case (i). From (vii), (viii) and the above information case (i) is eliminated. C attended the seminar on 12th April. H attended the seminar on 5th January. B attended the seminar on 12th March. I attended the seminar on 27th April. The final arrangement is as follows: January 5th
12th
27th
H
D
A
March 30th
5th
12th
F
B
1.
There are two persons who attended the seminar between the dates on which B and C attended. Choice (3)
2.
E attended the seminar on 5th April.
April
27th
30th
5th
12th
27th
30th
G
E
C
I
J
3.
B attended the seminar on 12th March.
4.
Except B, all the others attended the seminar on oddnumbered dates. Choice (5)
5.
I attended the seminar on 27th April.
Choice (1)
Choice (2)
Choice (4)
Solutions for questions 6 to 10: From (i) and (ii) J went on vacation either on 25th October or on 5th November or on 25th November. The one who went on vacation to Chennai went either on 16th October or on 16th November in any order. From (iii), (iv) and (v) the one who went on vacation to Pune went either on 5th November or on 25th November. N went on vacation either on 16th or 28th October. From the above information, we get the following arrangements: 5th
16th
Case (i)
October 25th
N
5th
J
Case (ii)
Pune
J
N
O Chennai
Case (iii)
28th
N
November 16th 25th O Chennai O Pune Chennai
J
28th
Pune
From (vi) and (vii) In case(i) the one who went to Delhi went on 28th November and K went on 5th October but it violates the condition (viii) as L went on vacation before N went on vacation. Hence case(i) is eliminated. In case(ii) the one who went on vacation to Delhi went on 28th November and K went on vacation on 5th October. In case(iii) the one who went on vacation to Delhi went on 5th October. K went on 16th November. From(viii) L went on 16th October in case(ii). L went on 25th October in case(iii). From (ix), (x) and the above information case(ii) is eliminated. The only possible is case(iii). P went on 28th November. N went on vacation to Indore on 28th October. From(xi) and the above information L went on vacation to Hyderabad. I went on vacation to Pune and K went on vacation to Lucknow. M went on vacation to Delhi on 4th October. From the above information, we get the following final arrangement is as follows:
6.
I went to Pune.
October 15th 16th
25th
28th
November 5th 16th
25th
28th
M
O
L
N
J
K
I
P
Delhi
Chennai
Hyderabad
Indore
Mumbai
Luck now
Pune
Noida
Choice (2) 16th
7.
The person who went on vacation to Lucknow on November. Choice (2)
8.
Only one person went on vacation between K and the one who went on vacation to Indore. Choice (1)
9.
J went on vacation to Mumbai.
Choice (4)
10. Choice (3), 25th October-L-Hyderabad is the correct combination. Choice (3)
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Month
April (30)
Date
4th
9th
4th
9th
Case 1
D
A
C Peacock
Case 2
D
A
G
B Dog
May (31)
June (30)
4th
4th
9th
E
G
B Dog
E
C Peacock
9th
From (v), it is not possible to place the person who bought a dove in case 1. So, it is eliminated. In case 2 G bought a dove. From (vi), E bought a parrot and A bought a rabbit. From (vii) and (viii), F bought a pet on 9th May. H bought a cat on 9th June. The final arrangement is as follows: Month Date Person
March 4th 9th D A Sparrow Rabbit
April 4th 9th G B Dove Dog
1.
D bought a sparrow.
Choice (1)
2.
H bought a cat.
Choice (3)
3.
B bought a pet on 9th April.
Choice (4)
May 4th 9th E F Parrot Turtle
June 4th C Peacock
9th H Cat
4.
Two persons bought pets after the person who bought a turtle. Choice (5)
5.
The person who bought a dog bought a pet immediately before the person who bought a parrot. Choice (2)
Solutions for questions 6 to 10: From (i) and (ii), he gave the lectures on Wednesday, on the gains of trade and on personal finance in the months of either January, March and November respectively or in the months of September, October and January respectively. From (iv), he gave the lecture on consumers in April. From (iii), (v), (vi) and the information given above, we get the following possible cases: Months January (31)
Case 1 Wednesday
Case 2 Wednesday Markets
March (31)
Thursday Gains of Trade
Gains of Trade
Consumers
Consumers
Social Security
Social Security Thursday
Saturday Markets Monday Personal Finance
Saturday
April (30)
Case 3 Thursday Personal Finance
Monday Consumers
July (31) September (30) October (31) November (30)
Social Security Wednesday Markets Saturday Gains of Trade
Monday Personal Finance
From (vii), he gave lecture on public goods in January in case 1, in October in case 2 and in March in case 3. From (ix) and (x), case 2 and case 3 are eliminated since we cannot place Friday. From (viii) and the information given above, the final arrangement is as follows: Months
Days
Topics
January
Wednesday Public Goods
March
Thursday
Gains of Trade
April
Tuesday
Consumers
July
Friday
Social Security
September Sunday
Corporate finance
October
Saturday
Markets
November
Monday
Personal Finance
Triumphant Institute of Management Education Pvt. Ltd. (T.I.M.E.), 95B, Siddamsetty Complex, Park Lane, Secunderabad – 500 003. All rights reserved. No part of this material may be reproduced, in any form or by any means, without permission in writing. This course material is only for the use of bonafide students of Triumphant Institute of Management Education Pvt. Ltd. and its licensees/franchisees and is not for sale. (5 pages) (agcs/agct) LAHO2001814.Sol/1
From (iv) and (v), only D bought a shirt on 21st of the month. From (vi) and the information given above, A, B and C bought black-coloured shirts on 14th 9th and 26th respectively. From (vii), M and N bought shirts on 9th of the month and J bought on the 26th. K bought shirts on 9th. So, M and N bought blue and green shirt in any order. L bought a shirt on the 26th. From (viii), N and D bought blue shirts. The final arrangement is as follows:
6.
Vijay gave a lecture on corporate finance on Sunday. Choice (2)
7.
In July he gave a lecture on Friday.
8.
In November he gave a lecture on Personal Finance. Choice (5)
9.
He gave five lectures between the months on which he give the lectures on Monday and Wednesday. Choice (1)
Choice (4)
Person
Colour
Date
A
Black
14th
10. He gave a lecture on the topic consumers immediately after the month in which he had given a lecture given on Thursday. Choice (2)
B
Black
9th
C
Black
26th
Solutions for questions 11 to 15:
D
Blue
21st
E
Blue
14th
J
White
26th
K
White
9th
L
Blue
26th
M
Green
9th
N
Blue
9th
From (i), (i) and (iii), we get the following information. Person
Colour
Date 14th
A B C D E
11. Among the given choices, A bought a black shirt. Choice (3)
14th
Blue
J K
White
L
Blue
12. M bought green-coloured shirt.
Choice (4)
13. A blue shirt was bought by most of the persons. Choice (3)
M 14. None of the given statements is true.
N
Choice (5)
15. All, except L, bought shirts on odd-numbered dates. Choice (2) Solutions for questions 16 to 20: From (i), (ii) and (iii) R gave the lecture either at 9am or at 2pm on Wednesday. The one who gave the lecture on Chemistry gave it either on Monday 2 pm or on Tuesday 9 am. The one who gave lecture on Biology gave it on Tuesday 9 am or 2 pm. P gave the lecture at 2 pm on Thursday and on statistics. From the above information we get the following arrangements: Monday
Tuesday
9 am 2 pm
9 am
Case (i) Case (ii)
Wednesday
2 pm
Friday
9 am 2 pm 9 am 2 pm
Chemistry Biology Chemistry Biology
Thursday
9 am
2 pm
P Statistics P Statistics
R R
From (iv), (v), (vi) and the above information, case (ii) is eliminated since we cannot place S. In case (i) the one who gave the lecture on Accounts gave the lecture on either at 9 am of Monday or at 9 am on Wednesday. S gave the lecture at 9 am on Tuesday. From (vii), (viii) and the above information V gave the lecture on 2 pm on Monday and Q gave lecture on Monday at 9 am. From the above information we get the following arrangements. Monday 9 am Case (i)
Q
Tuesday
2 pm V Computers
9 am S Chemistry
Wednesday
2 pm
9 am
Biology
2 pm
Thursday 9 am
R
Friday
2 pm P Statistics
9 am
2 pm
From (ix), (x) and the above information, The one who gave the lecture on Electronics gave on Friday 9 am. From (xi), the one whose lecture was on Psychology gave it on Thursday at 9 am. X gave the lecture on Tuesday at 2 pm. Thus from (vii) R gave the lecture on Mathematics. T gave the lecture on Accounts. Y gave the lecture on Psychology. U gave the lecture on Electronics. Q gave the lecture on Mechanics. W gave the lecture on Physics on Friday at 2 pm. The final arrangement is as follows: Monday
Tuesday
Wednesday
Thursday
Friday
9 am
2 pm
9 am
2 pm
9 am
2 pm
9 am
2 pm
9 am
2 pm
Q
V
S
X
T
R
Y
P
U
W
Mechanics
Computers
Chemistry
Biology
Accounts
Mathematics
Psychology
Statistics
Electronics
Physics
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16. The one who gave the lecture on Electronics gave it on Friday at 9 am. Choice (4)
Months
17. T gave the lecture on immediately after X gave it. Choice (1) 18. Except W, all the others gave the lecture at 9 am. Choice (3) 19. V gave the lecture on Monday.
Spell bee
39 Drama
5
14th
Skating
11 Poetry
35
March (31)
6th
July (31)
August (31)
January (31)
Case 1
Case 2
6th 14th
November (30)
Months
Poetry
6th March
14th April (30)
6th
April
14th July (31)
August (31)
32
6th
Photography 7
Photography 7
14th
Dancing
Dancing
July
August
6th November 14th
November (30)
32
Poetry
6th 14th
Debate
6th
44 Designing
44
14th
Designing
32
32
6th
Photography 7
Photography 7
14th
Dancing
Dancing
6th
Drama
5
14th
Poetry
35 Skating
11
6th
Debate
14th
Essay
28 Essay
28
Spell bee
39
From (vii), case 2 is not possible. Hence it is eliminated. In case 1, 42 students participated in debate. From (viii), painting competition was held on 14th April and drawing competition was held on 6th March. From (ix) (x) and the above information 19 students participated in singing, 23 students participated in dancing and 27 students participated in drawing. The final arrangement is as follows.
January March (31)
Case 2
6
Solutions for questions 21 to 25:
Dates
Case 1
January (31)
April (30)
20. The one who gave the lecture on Biology gave the lecture on Tuesday. Choice (2)
Months
th
14th
Choice (1)
From (i), essay competition was held either on 6th November or on 14th November. From (ii), photography was held either on 14th April or on 6th July. Either 14 or 7 students participated in photography. From (iii), the only possibility is that the competition in which 32 students participated was held on 14th April, poetry competition was held either on 14th August or on 14th January. The above information can be represented as follows:
Dates
Dates Competition No. of students 6th
Spell bee
39
14th
Skating
11
6th
Drawing
27
14th
Singing
19
6th
Designing
44
14th
Painting
32
6th
Photography
7
14th
Dancing
23
6th
Drama
5
14th
Poetry
35
6th
Debate
42
14th
Essay
28
21. Twenty-three students participated in dancing. Choice (2) Essay
28 Essay
28
22. Singing competition was held on 14th March. Choice (5)
From (iv), spell bee and skating were held in January in case 1 and in August in case 2. Thirty-nine students participated in spell bee and 11 students in skating. From (v), 44 students participated in designing. From (vi), 35 students participated in poetry and 5 students participated in drama which is the only possibility. The further arrangements are as follows:
23. Three competitions were held between debate and photography. Choice (1) 24. The total number of students who participated in the competitions held in the month of April is 76. Choice (3) 25. All, except skating, were held on 6th of a month. Choice (4)
Solutions for questions 26 to 30: From (i), J attended the meeting either on 9th July or 12th July. From (ii), the only possibility is that J attended the meeting on 9th July and L and N attended meetings on 9th May and 12th July in any order. From (iii), the person who went to Bengaluru attended the meeting either on 12th April or on 12th September. The partial arrangements are as follows: Month Date
April(30) 9th
12th
Case 1 Case 2
Bengaluru
May (31) 9th
12th
July (31)
September (30)
9th
12th
9th
12th
L/N
J
N/L
-
Bengaluru
L/N
J
N/L
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From (iv), it is not possible to place the persons who went to Chennai and Delhi in case 1. So, it is eliminated. In case 2, the persons who went to Chennai and Delhi attended the meetings on 9th of July and 9th of September in any order. L attended on 9th May and N attended on 12th July. From (v) and (vi) we get the following cases: Month
April (30) 9th
Date
May (31)
12th
Case (2a)
July (31)
12th
L Dispur
Bengaluru
Jaipur
Bengaluru
Kolkata
Bengaluru
Case (2b) Case (2c)
9th
L Kolkata
9th
September (30) 12th
9th
Jaipur
J Chennai/Delhi
N Kolkata
J Chennai/Delhi
N
Dispur
J Chennai/Delhi
N Dispur
L Jaipur
12th -
Delhi/Chennai Delhi/Chennai Delhi/Chennai
From (vii), we cannot place the person who went to Bhopal in both cases (2b) and (2c). Hence, both cases are eliminated. In case (2a), L went to Bhopal and J went to Chennai. From (viii), H attended the meeting on 9th September and went to Delhi, I attended the meeting on 12th May and M attended the meeting on 9th April. The final arrangement is as follows: Month
April (30)
May (31)
July (31)
September (30)
Date
9th
12th
9th
12th
9th
12th
9th
12th
Person
M Dispur
K Bengaluru
L Bhopal
I Jaipur
J Chennai
N Kolkata
H Delhi
-
26. H went to Delhi.
Choice (3)
29. I attended the meeting exactly between the persons who went to Bengaluru and Kolkata. Choice (1)
27. No one attended the meeting on 12th September. Choice (2) 28. L went to Bhopal.
30. Except H – Jaipur, in all the pairs the given person and the person who went to the given place attended the meetings in the months having the same number of days. Choice (5)
Choice (5)
Solutions for questions 31 to 35: From (i) and (ii) The one who is 37 years old attended the seminar either on Tuesday or on Saturday. From (iii), (iv) and (v) the one who is 64 years old attended the seminar on Monday. Y attended the seminar on Thursday. H attended the seminar on Tuesday in case (i), on Saturday in case (ii). From the above information, we get the following two arrangements:
Case (i) Case (ii)
Monday
Tuesday
Wednesday
Thursday
64
H
G
Y
64
37
Friday
Saturday
Sunday
37
Y
G
H
From (vi) in case (i) the ages of the persons who attend seminar on Tuesday and Friday are 49 and 52 in any order. In case (ii) the ages of the persons who attend seminar on Friday and Saturday are 49 and 52 in any order. From (vii), D and J attended the seminar either on Friday and on Saturday or on Saturday and Sunday respectively. But from (viii), in case (i) D and J did not attend seminar on Friday and Saturday. In case (i) D and J attend seminar on Saturday and Sunday. Thus K attended the seminar either on Monday or on Friday. In case(ii) K attended the seminar on Monday. D and J attended the seminar on Tuesday and Wednesday respectively. From the above information, we get the following arrangements:
Case (i)(a) Case (ii) Case (i)(b)
Monday K 64 K 64 64
Tuesday H 49/52 D 37 H 49/52
Wednesday G 25 J 25
Thursday
Friday
Y
52/49 G 52/49 K 52/49
Y Y 40
G
Saturday D 37 H 52/49 D 37
Sunday J
J
From (ix) and (x) case i(a) and case (ii) are eliminated. In case i(b) B is the eldest person and attended the seminar on Monday. H is 49 years old and attended the seminar on Tuesday. G is 32 years old. Y is 40 years old. K is 52 years old and attended the seminar on Friday. D is 37 years old and J is 25 years old. The final arrangement is as follows. Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
B
H
G
Y
K
D
J
64
49
32
40
52
37
25
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31. The one who is 52 years old attended the seminar on Friday. Choice (3)
33. Except H, all the other is even-numbered aged persons. Choice (5) 34. B attended the seminar on Monday.
32. Two persons attended the seminar between the days on which Y and B attended. Choice (1)
Choice (1)
35. The sum of the ages of G and D is 69 years. Choice (3)
ADDITIONAL QUESTIONS FOR PRACTICE Solutions for questions 1 to 5: From (i), (ii) and (iii) F attended the seminar either on 5th January or on 5th March as G attended the seminar on either attended 12th or 30th of March. From (iv) and the above information, D attends the seminar on 12th of January. A attended the seminar on 27th of January. From the above information, we get the following two possible arrangements: January
Case(i)
March
5th
12th
27th
F
D
A
D
A
Case(ii)
30th
5th
12th
March
27th
30th
5th
12th
27th
30th
G F
G
From (v) and (vi) E attended the seminar on 5th April and J attended the seminar on 30th April in case (i). From (vii), (viii) and the above information case (i) is eliminated. C attended the seminar on 12th April. H attended the seminar on 5th January. B attended the seminar on 12th March. I attended the seminar on 27th April. The final arrangement is as follows: January 5th
12th
27th
H
D
A
March 30th
5th
12th
F
B
1.
There are two persons who attended the seminar between the dates on which B and C attended. Choice (3)
2.
E attended the seminar on 5th April.
April
27th
30th
5th
12th
27th
30th
G
E
C
I
J
3.
B attended the seminar on 12th March.
4.
Except B, all the others attended the seminar on oddnumbered dates. Choice (5)
5.
I attended the seminar on 27th April.
Choice (1)
Choice (2)
Choice (4)
Solutions for questions 6 to 10: From (i) and (ii) J went on vacation either on 25th October or on 5th November or on 25th November. The one who went on vacation to Chennai went either on 16th October or on 16th November in any order. From (iii), (iv) and (v) the one who went on vacation to Pune went either on 5th November or on 25th November. N went on vacation either on 16th or 28th October. From the above information, we get the following arrangements: 5th
16th
Case (i)
October 25th
N
5th
J
Case (ii)
Pune
J
N
O Chennai
Case (iii)
28th
N
November 16th 25th O Chennai O Pune Chennai
J
28th
Pune
From (vi) and (vii) In case(i) the one who went to Delhi went on 28th November and K went on 5th October but it violates the condition (viii) as L went on vacation before N went on vacation. Hence case(i) is eliminated. In case(ii) the one who went on vacation to Delhi went on 28th November and K went on vacation on 5th October. In case(iii) the one who went on vacation to Delhi went on 5th October. K went on 16th November. From(viii) L went on 16th October in case(ii). L went on 25th October in case(iii). From (ix), (x) and the above information case(ii) is eliminated. The only possible is case(iii). P went on 28th November. N went on vacation to Indore on 28th October. From(xi) and the above information L went on vacation to Hyderabad. I went on vacation to Pune and K went on vacation to Lucknow. M went on vacation to Delhi on 4th October. From the above information, we get the following final arrangement is as follows:
6.
I went to Pune.
October 15th 16th
25th
28th
November 5th 16th
25th
28th
M
O
L
N
J
K
I
P
Delhi
Chennai
Hyderabad
Indore
Mumbai
Luck now
Pune
Noida
Choice (2) 16th
7.
The person who went on vacation to Lucknow on November. Choice (2)
8.
Only one person went on vacation between K and the one who went on vacation to Indore. Choice (1)
9.
J went on vacation to Mumbai.
Choice (4)
10. Choice (3), 25th October-L-Hyderabad is the correct combination. Choice (3)
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