DILR Test: 001

DILR WORKSHOP – 1

Questions 1-5:   

The fitness school marathon attracted 16 entrants (including sports wiz) this year. Each of the five houses (IIM-A, IIM-B, IIM-C, IIM-L, and IIM-K) was represented by a team of 3 runners and the field was made up by the sports wiz, Aditya. The school houses were competing for the trophy. The number of points by each entrant would be equal to his finishing position.

The five houses were tied for the cup, their totals being equal, although no two entrants tied for the same position .In order to determine the order in which the houses would hold the cup (they agreed to hold it for 73 days each), they multiplied the finishers’ positions together in each house. The house with the smallest product, IIM-K, would hold the cup first and so on to the house with the largest product, IIM-A, which held it last. Unfortunately IIM-B and IIM-C houses were still tied, and had to be separated by the toss of coin.

Aditya later noted that no house had two finishers in consecutive positions, although IIM-B would have achieved this had he not managed to get in between two of their runners.

1. The possible position of Aditya is

a) 1 only     b) 6 only     c) 11 only       d) 6 or 11     e) 16 only

2. The possible positions of IIM-C are

a) 4,6,15      b) 3, 10, 12     c) 3,5,12         d) 6, 11, 16       e) none of these

3. The product of IIM-K is

a) 136          b) 360            c) 120             d) 220              e) 128

4. The product of IIM-A is

a) 180           b) 320            c) 214             d) 455              e) 198

5. IIM-L’s positions are

a) 2,8,14        b) 2,9,14        c) 3,8,15         d) 1,8,13          e) 2,8,13

Questions 6-9:   

A game of card is played with a normal pack of 52 cards. Each plyer is dealt 13 cards and values his suits separately, each card counting its face value (Ace – 1, Jack, Queen, king – 11, 12 and 13 respectively).

Then the total value of the spade suit is multiplied by 4, the heart suit by 3, the diamond suit by 2, the club suit is counted by its face value.

The total of these 4 suits is then aggregated and the player whose hand has the highest aggregate is the winner.

I must admit, I am rather fond of playing cards. I was recently dealt a hand with more spades than hearts, in which no two cards had the same face value. If the spade had been clubs , the heart spades, the diamond hearts and the club diamonds, my score would have been 27 more than what it was. If the spades had been diamonds, the heart clubs, the diamond spades and the club hearts, my score would have been 30 less than what it was.

If the spade had been hearts, the hearts diamonds, the diamonds clubs and the clubs spades, my score would have been 11 less than what it was.

And you know what, if I told you the color of the king in my hand, you could easily deduce all my cards.

6. the total face value of the 13 card was:

1.91             2.66             3. 52            4.39

7.    Which of the following is not a combination of the clubs?

1. Jack, 9      2.queen, 8     3.king, 7                 4. Ten, 9      

     8.     Which of the following is the likely king?

          1. Clubs                  2.hearts                  3. Spades      4. 1 or 3

9. Which of the following is not a card of the hearts?

1. Queen                 2. Jack                   3. Five          4. Four

Questions 10-14:   

Eight dogs in an obedience class are learning to follow two commands—"heel" and "stay." Each dog is either a shepherd, a retriever, or a terrier, and each of these three breeds is represented at least once among the group. All female dogs in the group are retrievers. The results of the first lesson are as follows:

• At least two of the dogs have learned to follow the "heel" command, but not the "stay" command.
• At least two of the dogs have learned to follow the "stay" command, but not the "heel" command.
• At least one of the dogs has learned to follow both commands.
• Among the eight dogs, only terriers have learned to follow the "stay" command.

10. Which of the following statements CANNOT be true?
    .
    (A) The group includes more females than males.
    (B) The group includes fewer terriers than.shepherds.
    (C) The group includes more shepherds than retrievers.
    (D) More of the dogs have learned to stay than to heel.
    (E) More of the dogs have learned to heel than to stay.
     
11. If each dog has learned to follow at least one of the two commands, all of the following must true EXCEPT:
    .
    (A) All retrievers have learned to heel.
    (B) All shepherds have learned to heel.
    (C) All terriers have learned to stay.
    (D) No retriever has learned to stay.
    (E) No shepherd has learned to stay.
     
12. If four of the dogs are male and four of the dogs are female, all of the following must be true EXCEPT:
    .
    (A) One of the dogs is a shepherd.
    (B) Four of the dogs are retrievers.
    (C) Three of the dogs are terriers.
    (D) Three of the dogs have learned to stay.
    (E) Four of the dogs have learned to heel.
     
13. If the group includes more shepherds than terriers, the minimum number of male dogs among the group that have learned to heel is
    .
    (A) 0
    (B) 1
    (C) 2
    (D) 3
    (E) 4
      
14. If each dog has learned to follow at least one of the two commands, and if two of the dogs have learned to heel but not stay, it could be true that
    .
    (A) two of the dogs are female
    (B) all of the dogs are male
    (C) only one male dog has learned to heel
    (D) one female dog has learned to stay
    (E) two of the dogs are retrievers
    
    

Questions 15-18:   

 A particular seafood restaurant serves dinner Tuesday through Sunday. The restaurant is closed on Monday. Five entrees—snapper, halibut, lobster, mahi mahi, and tuna—are served each week according to the following restrictions:

• Halibut is served on three days each week, but never on Friday.
• Lobster is served on one day each week.
• Mahi mahi is served on three days each week, but never on consecutive days.
• Halibut and snapper are both served on Saturday and Sunday.
• Tuna is served five days each week.
• No more than three different entrees are served on any given day.

15 . On which of the following pairs of days could the restaurant's menu of entrees be identical?
.
(A) Friday and Sunday
(B) Tuesday and Wednesday
(C) Saturday and Sunday
(D) Wednesday and Friday
(E) Thursday and Friday

 16 . Which of the following is a complete and accurate list of the days on which halibut and lobster may both be served?
.
(A) Tuesday, Thursday
(B) Tuesday, Wednesday, Thursday
(C) Monday, Tuesday, Wednesday
(D) Tuesday, Wednesday, Thursday, Friday
(E) Tuesday, Wednesday, Thursday, Saturday
 

17. If mahi mahi is served on Saturday, it could be true that
.
(A) snapper and mahi mahi are both served on.Sunday
(B) snapper and halibut are both served on Tuesday
(C) lobster and halibut are both served on Thursday
(D) tuna and snapper are both served on Saturday
(E) lobster and snapper are both served on Friday

18. Which of the following statements provides sufficient information to determine on which three days halibut is served?
.
(A) Mahi mahi and lobster are served on the same..day.
(B) Lobster and snapper are both served on Tuesday.
(C) Tuna is served on Saturday, and lobster is served on Tuesday.
(D) Mahi mahi is served on Saturday, and snapper is served on all but one of the six days.
(E) Tuna is served on Sunday, and snapper is served on Tuesday and Thursday.

Questions 19-23
Two or more essences out of a stock of five essences-- L, M, N, O, and P are used in making all perfumes by a manufacturer. He has learned that for a blend of essences to be agreeable it should comply with all the rules listed below.
A perfume containing L, should also contain the essence N, and the quantity of N should be twice as that of L.
A perfume containing M, must also have O as one of its components and they should be in equal proportion.
A single perfume should never contain N as well as O.
O and P should not be used together.
A perfume containing the essence P should contain P in such a proportion that the total amount of P present should be greater than the total amount of the other essence or essences used.

19. Among the following which is an agreeable formula for a perfume?

1. One part L, one part P
2. Two parts M, two parts L
3. Three parts N, three parts L
4. Four parts O, four parts M
5. Five parts P, five parts M

20.Adding more amount of essence N will make which of the following perfumes agreeable?

1. One part L, one part N, five parts P

B. Two parts M, two parts N, two parts P

C. One part M, one part N, one part P

D. Two parts M, one part N, four parts P

E. Two parts N, one part O, three parts P

21.Among the following, the addition of which combination would make an unagreeable perfume containing two parts N and one part P agreeable?

(A) One part L (B) One part M (C) Two parts N (D) One part O (E) Two parts P

22.Among the following which combination cannot be used together in an agreeable perfume containing two or more essences?

A.L and M

B.L and N

C.L and P

D.M and O

E.P and N

23.Among the below mentioned formulas, which can be made agreeable by the eliminating some or all of one essence ?

A. One part L, one part M, one part N, four parts P

B. One part L, two parts N, one part O, four parts P

C. One part L, one part M, one part O, one part P

D. Two parts L, two parts N, one part O, two parts P

E. Two parts M, one part N, two parts O, three parts P

 ANSWER KEY

1.   C

2.   A

3.   E

4.   D

5.   B

6.   A

7.   D

8.   D

9.   D

10.        A

11.        C

12.        E

13.        C

14.        B

15.        D

16.        B

17.        E

18.        E

19.        D

20.        A

21.        E

22.        A

23.        B

24.