Wednesday, 9 July 2014

ANSWER KEY 1.2


Answers to Practice Exercises 1.2

Arrangements : Non Deterministic 2

Set 1 : General Explanations

1.   Since C scored 18 Marks in the Test, C must have got 4 Questions correct and 1 wrong.

2.   The number of Correct answers of B is more than that of D. Also, the number of correct answers of E is equal to that of A and B together. Therefore, E must have got more questions correct than both A and B. This would mean E must have got all 5 questions correct.

3.   From point 2 above, we can also say that A and B must have got 2 and 3 questions correct, not in any particular order. This would mean D must have got only 1 Question correct.

Ans 1 : Option b

Ans 2 : Option d

It could be either 2 or 3.

Ans 3 : Option c

D has got 1 Question correct and 4 incorrect. Therefore, D must have got 5-8 ie -3 marks. Also, B must have either got 15-4=11 Marks or 10-6=4 Marks.

The average Marks of B and D together can be either (11-3)/2 = 4 or (4-3)/2 = 0.5 Marks.

Ans 4 : Option a

If A scored more than B, then A must have got 3 Questions correct and B must have got 2 Questions correct.

Set 2 : General Explnanation:

1.   The Yellow line is going to the Airport and is the last Train to arrive. Also, Trains going to Airport and ISBT will arrive immediately one after the other not in any particular order. Therefore, the Train going to ISBT will arrive 4th while the one going to Airport will be the last to arrive.

2.   The Destination of the first Train is Dwarka and it will be either on the Silver line or the Black Line.

3.   The Red Train’s destination is not ISBT. It also is not Airport, Rohini or Dwarka. Therefore the destination of the Red Train will be Badarpur.

4.   Since the Train going to Rohini is on the Blue Line, the Trains going to ISBT will be either on the Black or the Silver line.

The partial information can now be compiled as follows:
Ans 5 : Option c

Ans 6 : Option a

Ans 7 : Option c

Ans 8 : Option d

Set 3 : General Explanation:

Let us first look at the way they have been seated


1. Let S be at Position 1. Therefore, Q is at position 5 and towards the table.

2. T is 3 places to the left of Q. T will be at position 8 and seated away from the Table.

3. R is 2nd to the right of T and so R must be at Position 2 seated away from the Table. Also, R is to the immediate right of V. Therefore, V must be at position 3, seated looking towards the Table.

4. P and W are not at adjacent positions.

Ans 9 : Option b

If P is directly opposite to R, then W must be at position 4.

Ans 10 : Option b

U can occupy either position 6 or position 7.

Ans 11 : Option d

P can be either at Position 6 or Position 7 and so we cannot be sure about the person seated to the immediate left of P.

Ans 12 : Option c

Since the 3rd position to the right of R is already occupied by S.



Set 4 : General Explanation:

1. The Test can be scheduled only on any day from Wednesday to Saturday.

2. The 4 topics will have to be scheduled in the order Numerical Analysis, Integration, Finite Automata, Discrete Maths.

3. Numerical Analysis is the first class to be scheduled. This is not taken by Anand. Vishal is not the first one to take a class. Also Lalit’s class is scheduled after Ms. Gaur takes a class. ie Numerical Ananlysis will be taken by Ms. Gaur.

4. Since Anand takes Discrete Maths, it would mean that Vishal and Lalit will take Integration and Finite Automata in no particular order.

5. Numerical Analysis will be scheduled on either Monday or Tuesday(If Monday is a Holiday).

Ans 13 : Option a

Ans 14 : Option d

The class on Thursday will be Finite Automata and can be taken by either Lalit or Vishal.

Ans 15 : Option a

If Vishal takes a class exactly 2 days before the Holiday, Vishal will have to take the class on Wednesday and Holiday will be on Friday. It would mean that Vishal is taking the 3rd topic in the Sequence ie Finite Automata and therefore Lalit will take the topic Integration.

Ans 16 : Option b

Set 5 : General Explanation :

Let us first indicate the positions in terms of numbers.

1. India is the only Asian Country not represented in the 2nd row. It means that the captains of both Sri Lanka and Pakistan will be in the 2nd row.

2. Alistar, the South African captain was 3rd in the 2nd row. Also, Alistar was seated between Mhoni and Blarke. It means that one of Mhoni and Blarke will be at position 6 and the other one at position 8 in no particular order.

3. The Indian captain is at the rightmost end of the arrangement ie either at position 4 or position 8. But the Indian captain cannot be at position 8. Therefore, the Indian captain will be at Position 8.

4. Bismah the England captain is directly behind Smith the captain of West Indies. The only position available in the 2nd Row is position 5 which means Smith will be at position 1.

5. The number of persons between Pettori and Smith is same as that between Wammy and Hilshan. Therefore, Pettori can be either at position 2 or 3.

Ans 17 : Option b

If Blarke is seated behind Pettori, Blarke must be at position 6 and therefore Mhoni must be at position 8.

Ans 18 : Option c

Ans 19 : Option a

If Wammy is next to the Indian captain, Wammy must be at position 3, Pettori will be at position 2 and Hilshan at position 4.

Ans 20 : Option b

Pettori can occupy either position 2 or 3.



Tabular/Grid Based 1

Set 1 : General Explanation

Based on the given information the following can be deduced

1.   Utkarsh choose Poke which does not go well with a Non-chilly Snack. Therefore, Utkarsh must have choosen a Chilly Snack. This means Itisha must have choosen a Non-Chilly Snack. Since Aditya chooses Sandwich, Itisha must have choosen the other Non-Chilly snack ie Patties.

2.   Also Reyu and Utkarsh must have choosen one snack each out of Burger and Pizza in no particular order.


Ans 1 : Option d

Ans 2 : Option a

Ans 3 : Option d

Ans 4 : Option a

Set 2 : General Explanation

1. A and H have been booked in adjacent rooms which could be (17,18), (18,19), (19,20), (21,22), (22,23), (23,24). None of their room number is prime. Therefore, the only possible pair that does not have a prime number is (21 and 22).

2. D is not on the same wing as A. So, D must be on the East wing. Since D’s room is a prime number, It must be either 17 or 19.

3. There are exactly 2 rooms between F and D. This would mean D’s room number must be 17 and therefore F’s room number must be 20.

4. F is the neighbour of B and so B must be in room number 19.

5. If C and E exchange their rooms, C will have H as his neighbour. ie E and H are in the same wing and C in the other wing. Since H is in the West wing, E must also be in the West wing and the neighbour of H. This would mean Room number 18 in the East wing must be allotted to C.

6. If H is in room number 21 then A is in room number 22 and therefore if C and E exchange their rooms, C cannot have H as his neighbour. Therefore, A is in room number 21 and H in room number 22, E in room number 23 and G in room number 24.

Ans 5 : Option a

Ans 6 : Option c

Ans 7 : Option a

Ans 8 : Option b

Set 3 : General Explanation

1. Ekta, the child to choose last has taken Oreo but not the maximum number. The number of Oreo could be 2/3/5/7.

2. Dimple choose the Jar with 5 cookies. The cookie type must be Britannia.

3. Cadbury Bite was 3 in number and the minimum number of Cookies were Parle-G and so Oreo would be 7 in number.

4. The number of cookies choosen by Cia is either 2 or 3.

5. Similarly, the number of cookies choosen by Bony is either 2/3/9. Also, the number of cookies choosen by Bony is more than Cia but less than Albert. Therefore, Bony must have choosen 3 Cookies ie Cadbury Bite (Given), Cia 2 Cookies ie (Parle-G) and Albert 9 cookies ie Krackjack.

The final table is as follows :

Albert : Krackjack : 9 cookies

Bony : Cadbury Bite : 3 cookies

Cia : Parle-G : 2 cookies

Dimple : Britannia : 5 cookies.

Ekta : Oreo : 7 cookies.

Ans 9 : Option b

Ans 10 : Option c

Ans 11 : Option a

Ans 12 : Option a

Set 4 : General Explanation

1. Narain from Mclaren finished at the 3rd position. Also, Ferrari had 2 podium positions ie Ferrari drivers must have finished at positions 1 and 2.

2. Bernie wearing number 7 was 5th in the race. Also, Fernando had only one person sitting next to him ie Fernando must be either at position number 1 or 5 but since Bernie is at position 5, Fernando must be at position 1.

3. The positions left are 2 and 4. But the person at position 2 is from Ferrari and Vijay is not from Ferrari. Therefore, Vijay wearing number 18 must be at position 4 and Schumi from Ferrari must be at position 2.

4. The Shirt number of one of the Ferrari drivers must be 21. The other Ferrari driver and Narain are wearing shirts numbered 10 and 15 in no particular order.

The partial information can be compiled as follows:

Ans 13 : Option a

Ans 14 : Option c

Ans 15 : Option d

Ans 16 : Option a

Set 5 : From the conditions given, the following can be inferred :

1. The rating obtained by A in Cricket is same as the rating given to C in Basketball. Therefore, A must have got the rating VG in Cricket. Also, since A has got all the 3 ratings therefore A must have got the rating G in Football.
2. Further, E has got a better rating than A in both Cricket and Football. So, E must have got the rating E in Cricket. Using the same condition, E must have got either rating VG or E in Football. But D and E have got the same rating in Football and D cannot get the rating VG in Football because D has already got the rating VG in Cricket. (D has got all the 3 different ratings). Therefore, D must have got the rating E in Football and E must also have got the rating E in Football.
3. Continuing the same logic, D must have got the rating G in Basketball.The partial table will look as follows :

STUDENT NAME
RATINGS IN SPORTS
CRICKET
FOOTBALL
BASKETBALL
A
VG
G
E
B
G

C

VG
D
VG
E
D
E
E
E
F


4. F has got the same rating in all the 3 sports and equal number of students have got each of the 3 ratings in all the 3 sports. Therefore F must have got the rating G in all the 3 sports.
5. C must have got the rating E in Cricket and both B and C must have got the rating VG in Football 

STUDENT NAME
RATINGS IN SPORTS
CRICKET
FOOTBALL
BASKETBALL
A
VG
G
E
B
G
VG
C
E
VG
VG
D
VG
E
G
E
E
E
F
G
G
G
6. Since A and D were the only 2 students to get all the 3 ratings, therefore, B cannot get the rating E in Basketball and so B must have got the rating VG in Basketball and E must have got the rating E in Basketball.
7. The final table will look as follows

STUDENT NAME
RATINGS IN SPORTS
CRICKET
FOOTBALL
BASKETBALL
A
VG
G
E
B
G
VG
VG
C
E
VG
VG
D
VG
E
G
E
E
E
E
F
G
G
G

Ans 17 : Option a

Ans 18 : Option b

Ans 19 : Option a

Ans 20 : Option c


Tabular/Grid Based 2

Set 1:
1. The average number of Cookies received by the 5 children is 20. Therefore, the total number of cookies with the 5 children should be 100.
2. Since the number of cookies received by the children is consecutive integers, therefore the values would be 18,19,20,21 and 22 resulting in an average value of 20 cookies.
3.  Further based on conditions 2,6 and 7, we can have the initial arrangement as follows :

Also from point no 5, since the number of lemons are more than exactly 2 cookies and also exactly less than 2 cookies, therefore the number of lemons must be 20. Further, since the number of Alpenliebe is 21, the number of Cadbury must be 22.
On the same basis, the number of Mangobite and Paspas must be either 18 or 19. Since it is mentioned that Danu did not get Paspas, therefore, Danu must have got 18 Mangobites while Mehu must have got 19 Paspas.The final distribution looks as follows:
Ans 1 : Option a
Ans 2 : Option c
Ans 3 : Option b
Average Number of cookies received by Aryan and Medhu = (20+22)/2 = 21
Ans 4 : Option a

Set 2 : We need to find out the Groups and the position of the teams in the groups after the league matches. From the Information provided, we can conclude the following:
1. New Zealand will be designated as B1 while Sri Lanka will have the position B2.
2. New Zealand will play arch rivals Australia in the Quarter Finals and therefore Australia should be A2.
3. Pakistan is the 4th team in the A group to qualify and therefore it will be designated as A4.
4. The 3rd QF match is between 2 teams neither of whom has won the world cup earlier. This means B3 cannot be West Indies as they are the defending champions. Therefore, B3 should be South Africa and B4 must be West Indies.
5. Since India is in Group A and plays QF2, India will be designated as A1 and therefore, England will be A3.
Ans 5 : Option d
The 2 teams which played the 3rd QF have not won the world cup earlier ie South Africa and Pakistan.
Ans 6 : Option a
Ans 7 : Option b

Set 3 : It is given that the price of the Trousers and the T-Shirt purchased by Alpha is the same which leads to 3 different possibilities.
1. The price of the Trousers and the T-Shirt purchased by Alpha is Rs 500/- each leading to a total amount of Rs.1000/-. But Alpha cannot purchase both the items of the same brand since only 2 people (one from Gamma or Theta and the 2nd Beta) purchased both the items of the same brand. This case is therefore ruled out.

2. The price of the Trousers and the T-shirt purchased by Alpha is Rs.300/- each   leading to a total amount of Rs.600/-. This would mean that the total amount spent by Delta should be Rs.1200/- which would only come from a combination of Rs.500/- for the Trousers and Rs.700/- for the T-Shirt. The partial table of purchases would be as under :


This means that there can be maximum 1 person who purchased both items of the same brand which in turn violates point no. 3 of the conditions given. This case is also not true.
3. The price of the Trousers and the T-Shirt purchased by Alpha is Rs.250/- each leading to a total amount of Rs.500/-. Therefore the total amount spent by Delta has to be Rs.1000/- which could be either 500 each or (300 + 700) but since Delta did not purchase both items of the same value therefore, it has to be the combination of Rs. (300+700).
Also, as indicated earlier, the 2 people who purchased items of the same brand are Beta and one from Gamma or Theta which means that Alpha purchased 2 items of the same value worth 250/- each but of different brands.
The partial table of purchases is as under
Now, Beta would have purchased either both Numero Uno brands or both Reabok brands but since it is given that Beta spent a lower amount in purchasing T-shirt therefore it has to be the brand Numero Uno.
The total amount spent by Beta is Rs.450+300 = Rs.750/-
Therefore, one of Gamma or Theta would have spent a total amount of Rs 1000/- (500+500) while the other would have spent Rs.650 (400+250). Since Beta spent a higher amount as compared to Theta, therefore the total amount spent by Theta would be Rs.650/- while Gamma would have spent Rs.1000/- in total.
The final table of purchases would be as under :
Ans 8 : Option b

Ans 9 : Option b

Ans 10 : Option c

Ans 11 : Option c

Set 4 :

1. Each person has got at least 1 call and no 2 people got the same number of calls therefore, the number of calls received must be 1,2,3,4,5 & 6.
2. Since the number of calls got by A is a prime number, A must have got either 2,3 or 5 calls. It is also given that the number of calls received by both E and F is more than C but less than A, therefore A has definitely got more number of calls than at least 3 people which means that A must not have got either 2 or 3 calls. The number of calls received by A is 5.
3. D has got 2 calls and therefore C must have got 1 call since both E and F have got more calls than C.
4. The person who has got 6 calls must be B.

From point 4, since the person with the highest percentile did not get the maximum calls, therefore B must have got a percentile of 93.
Also, neither C nor F got the highest percentile, therefore E must have got a percentile of 99. We are not sure about the percentile of C or F
Ans 12 : Option b
Ans 13 : Option d
         The number of calls received by F is either 3 or 4.
Ans 14 : Option d
When arranged in descending order of percentiles, the person in the 5th position will be the one with 92 percentile which could be either C or F.

Set 5 : From point 1, the items will be picked up at 9am, 11am, 1pm, 3 pm and 5pm respectively.
1.   The item worth 25,000/- is picked up at 3pm.
2.   The value of the item picked up at 9am from Mrt. is more than the one picked up last. This value can be 20,000 or 30000 or 35000/-.
3.   From point no. 4, this value is lower than the value of the items picked up at Hpr. And Bsr. And therefore the value of the item picked up first from Mrt. cannot be 30,000 or 35,000/-. The value of the item picked up from Mrt. is Rs.20000/-. Therefore, the value of the item picked up last will be Rs.15,000/-. This location cannot be Hpr. Or Ddn. and therefore this location will be Alg.
The partial table of information looks as follows :

Ans 15 : Option a
If the value of the item at Ddun. is lower in value than the one picked up at Hpr. which in turn is lower than the one at Bsr. Therefore, the value of the item picked up at Ddun. is 25,000/- which means that the item from Hpr. is picked up at 11 am.
Ans 16 : Option c
Ans 17 : Option d

Set 6 : From the general information given, the following can be deduced :

1. Since no one placed a bet on India winning all it’s matches, therefore the number of bets placed must be 0,1,2,3,4 and 5. Also, E is the one who did not place any bets.
2. F must have placed 4 bets since he spent a total of Rs.600 on betting. Also, since F did not bet on the first and last match he would have placed bets on Matches no. 2,3,4 and 5.
3. B must have placed a bet on India winning 5 out of the 6 matches.
4. C had a net profit of Rs.900/-. Since each correct bet placed would give a profit of Rs.300, therefore, C must have placed bet on 3 matches which India must have won.
5. India therefore must have won at least 3 matches in the league. It is given that India won more matches in the 2nd part of the league as compared to the first. Since the 4th match was a tie, therefore, India must have won 2 matches in the 2nd part of the league and 1 match in the 1st part of the league winning a total of exactly 3 matches.

 
D and A must have placed bets on India winning 1 and 2 matches not in any particular order.
Ans 18 : Option b
The match won by India in which everyone except E placed a bet is Match 5
Ans 19 : Option d
Ans 20 : Option b
The matches not won by India is Match no 2, 3 and 4.
[contd.]
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