Initial and Final Cash Positions of Five Boys
CAT 2002 Slot 1 · Data Interpretation & Logical Reasoning · Hard · Logical Reasoning
This is a hard Data Interpretation & Logical Reasoning question from the CAT 2002 Slot 1 paper. It tests Logical Reasoning. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.
Five boys went to a store to buy sweets. One boy had Rs. 40. Another boy had Rs. 30. Two other boys had Rs. 20 each. The remaining boy had Rs. 10. Below are some more facts about the initial and final cash positions:
I. Alam started with more than Jugraj. II. Sandeep spent Rs. 1.50 more than Daljeet. III. Ganesh started with more money than just only one other person. IV. Daljeet started with of what Sandeep started with. V. Alam spent the most, but did not end with the least. VI. Jugraj spent the least and ended with more than Alam or Daljeet. VII. Ganesh spent Rs. 3.50. VIII. Alam spent 10 times more than what Ganesh did.
- A.
Alam started with Rs. 40 and ended with Rs. 9.50
- B.
Sandeep started with Rs. 30 and ended with Re. 1
- C.
Ganesh started with Rs. 20 and ended with Rs. 4
- D.
Jugraj started with Rs. 10 and ended with Rs. 7
D
Explanation
From VII and VIII, Ganesh spent Rs. 3.50 and Alam spent . From III, Ganesh started with Rs. 20 (since he started with more than just one person, who started with Rs. 10). From IV, Daljeet started with of Sandeep's amount, so Sandeep started with Rs. 30 and Daljeet with Rs. 20. Thus Jugraj started with Rs. 10 and Alam started with Rs. 40. Alam spent Rs. 35, ending with . Jugraj started with Rs. 10, spent the least (), and ended with more than Rs. 5 (e.g. spent Rs. 3, ending with Rs. 7). Hence, Jugraj started with Rs. 10 and ended with Rs. 7 can be true.
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