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Question

What was the amount spent by Helen?

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Solution

The correct option is **B** Rs. 1340

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), 1340 (Clue 2) and 1193 (Clue 1 again).

We need to work out the fifth value.

Also, since Chellamma spent the least and Garima the maximum and since one woman spent Rs. 1378 more than

Chellamma, 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 live 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 1Possibility 2A(x 2517)2234 C(least)1193 D(x 1340)2517 H1340 G (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:

After placing the least and maximum.

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

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 G and C respectively.

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 mediately 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.

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

Hence the answers are:

Rs. 1340

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), 1340 (Clue 2) and 1193 (Clue 1 again).

We need to work out the fifth value.

Also, since Chellamma spent the least and Garima the maximum and since one woman spent Rs. 1378 more than

Chellamma, 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 live 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 1Possibility 2A(x 2517)2234 C(least)1193 D(x 1340)2517 H1340 G (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:

After placing the least and maximum.

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

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 G and C respectively.

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 mediately 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.

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

Hence the answers are:

Rs. 1340

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