The figure below shows a network with three parallel roads represented by horizontal lines R-A, R-B, and R-C and another three parallel roads represented by vertical lines V1, V2, and V3. The figure also shows the distance (in km) between two adjacent intersections. Six ATMs are placed at six of the nine road intersections. Each ATM has a distinct integer cash requirement (in Rs. Lakhs), and the numbers at the end of each line in the figure indicate the total cash requirements of all ATMs placed on the corresponding road. For example, the total cash requirement of the ATM(s) placed on road R-A is Rs. 22 Lakhs. The following additional information is known. The ATMs with the minimum and maximum cash requirements of Rs. 7 Lakhs and Rs. 15 Lakhs are placed on the same road. The road distance between the ATM with the second highest cash requirement and the ATM located at the intersection of R-C and V3 is 12 km.
The ATM placed at the (R-C, V2) intersection has a cash requirement of Rs. 9 Lakhs.
There is no ATM placed at the (R-C, V2) intersection.
The cash requirement of the ATM placed at the (R-C, V2) intersection cannot be uniquely determined.
The ATM placed at the (R-C, V2) intersection has a cash requirement of Rs. 8 Lakhs.
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The Correct Option isA
Solution and Explanation
By analyzing the distribution of cash requirements for the ATMs across the intersections,the ATM placed at the (R-C, V2) intersection is confirmed to have a cash requirement of Rs. 9 Lakhs, as indicated by the pattern in the figure.
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Question: 2
How many ATMs have cash requirements of Rs. 10 Lakhs or more?
By reviewing the cash requirements of the ATMs and identifying those with Rs. 10 Lakhs or more, we find that three ATMs meet this criterion.
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Question: 3
Which of the following two statements is/are DEFINITELY true? Statement A: Each of R-A, R-B, and R-C has two ATMs. Statement B: Each of V1, V2, and V3 has two ATMs.
By analyzing the placement of the ATMs on the roads, it is confirmed that each of R-A, R-B, and R-C has two ATMs, but it is not necessarily true that each of V1, V2, and V3 has two ATMs.
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Question: 4
What best can be said about the road distance (in km) between the ATMs having the second highest and the second lowest cash requirements?
By analyzing the placement of the ATMs with the second highest and second lowest cash requirements, the road distance between them is either 4 km or 7 km, depending on their exact positions on the grid.
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Question: 5
What is the number of ATMs whose locations and cash requirements can both be uniquely determined?
