CAT 2003 Slot 1 — DILR Question 42
Answer the following question based on the information given below.
Five women decided to go shopping to M.G. Road, Bangalore. They arrived at the designated meeting place in the following order: 1. Archana, 2. Chellamma, 3. Dhenuka, 4. Helen, and 5. Shahnaz. Each woman spent at least Rs. 1000. Below are some additional facts about how much they spent during their shopping spree.
i. The woman who spent Rs. 2234 arrived 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 Chellamma.
iv. One woman spent Rs. 2517 and she was not Archana.
v. Helen spent more than Dhenuka.
vi. Shahnaz spent the largest amount and Chellamma the smallest.
What was the amount spent by Helen?
Answer & solution
- A
Rs. 1193
Rs. 1340
- C
Rs. 2234
- D
Rs. 2517
The amounts are Rs. 2,234, Rs. 1,193, Rs. 1,340 and Rs. 2,517. The fifth amount is not given.
âµ One woman’s amount = Chellamma’s amount + Rs. 1,378
âµ All the women spent more than Rs. 1,000.
∴ Chellamma’s amount
= Rs. 2,517 – Rs. 1,378
= Rs. 1,139
∴ The biggest amount of Rs. 2,517 is spent by Shahnaz.
âµ It is given that Helen spent more than Dhenuka and Dhenuka did not spend Rs. 1,340.
∴ Dhenuka spent Rs. 1,193.
We also know that the women who spent Rs. 2,234 arrived before the lady who spent 1193.
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∴ Archana spent Rs. 2,234 and Helen spent Rs. 1,340.
The amount spent by Helen was Rs. 1,340.
Hence, option (b).