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surbhi

· started a discussion

· 1 Months ago

pls correct the question or options

Question:

 DIRECTIONS:  Read the following information carefully to answer the questions that follow.


Five women decided to go shopping. They arrived at the designated meeting place in the following order: 1. Archana, 2. Celina, 3. Dhenuka , 4. Helen and 5. Sahnaz. Each woman spent at least Rs 1000. Below are some additional facts about how much they spent during shopping spree.


i.      The woman who spent Rs 2234 arrive before the lady who spent Rs 1193.

ii.      One woman spent Rs 1340 and she was not Dhenuka.

iii.     One woman spent Rs 1378 more than Celina.

iv.     One woman spent Rs 2517 and she was not Archana.

v.      Helen spent more than Dhenuka and less than archana.

vi.     Sahnaz spent the largest amount and Celina the smallest.

The woman who spent Rs 1193 is:
Options:
A) Archana
B) Celina
C) Dhenuka
D) Helen
E) None of these 
Solution:

(From the given information it is clear that four numbers which must have been the values of money spent would be: 2517 (Clue 4), 2234 (Clue 1), 340 (Clue 2) and 1193 (Clue 1 again).

We need to work out the fifth value.

Also, since Celina spent the least and Shahnaz the maximum and since one woman spent Rs.1378 more than Celina, a little bit of introspection will give you the following possibilities for the five numbers:

Possibility 1: If 1193 is the least value

The five numbers are:

1193, 1340, 2234, 2517 and 2571 (since 2571 = 1193 + 1378)

Possibility 2: If 2517 is the maximum value, the five numbers are:

1139 (since 1139 = 2517 – 1378), 1193, 1340, 2234 and 2517

Accordingly, we have the following possible arrangements for the five women and the amount they spent:

-

Possibility 1

Possibility 2

A (x 2517)

2234

-

C (least)

1193

-

D (x 1340)

2517

-

H

1340

-

S (Max)

2571

-

Note: The thought structure for placing the 5 values with 5 women in the case of possibility 1, goes as follows:

 

Step 1:

A

C 1193

D

H

S 2571

After placing the least and maximum.

Step 2: 2234 should be before 1193 and Dhenuka cannot have spent Rs.1340.

A 2234

C 1193

D 2517

H 1340

G 2571

A close look at the above table shows that clue 5 (H > D) is not obeyed by this arrangement. Hence, this solution is wrong.

We thus move into possibility 2, i.e.:

1139, 1193, 1340, 2234, 2517, are the five values. The thought structure for placing the five numbers for the five women goes as:

Step 1: Place the maximum and least values for S and C respectively.

A (x 2517)

C (least) 1139

D (x 1340)

H

S (Maximum) 2517

This leaves us with 1340, 1193 and 2234 to place.

Step 2: We need to keep 2 constraints in mind while doing this.

(a) 2234 has to come before 1193 (remember not immediately before). At the same time H> D. (Clue 5)

We can arrange 2234 before 1193 in 3 ways as shown below and then 1340 automatically falls into the vacant space.

A 2234

C 1139

D 1193

H 1340

S 2571


(Not possible since Dhenuka cannot be 1340)

A 2234

C 1139

D 1340

H 1393

S 2571


(Not possible since H should be greater than D)

A 1340

C 1139

D 2234

H 1193

S 2571

Hence, the only possible arrangement is as in (1) above.


Female

Amount

Archna

2234

Celina

1139

Dhenuka

1193

Helen

1340

Sahnaz

2517

Tarun Kumar

· commented

· 1 Months ago

how it is possible to make this question if 1139 is not given in these statements

surbhi

· commented

· 1 Months ago

pls explain the whole answer

Knowledge Expert

· commented

· 1 Months ago

Why?.....its correct...Dhenuka spent ₹1193...

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