1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# Which of the following amounts was spent by one of them?

A
Rs. 1139
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
Rs. 1378
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
C
Rs. 2571
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
D
Rs. 2718
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
Open in App
Solution

## The correct option is A Rs. 1139From 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. 1139

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Zonal Theorem
QUANTITATIVE APTITUDE
Watch in App
Explore more
Join BYJU'S Learning Program