# CAT LRDI Questions [Difficult] SET

Exactly seven persons, Anant, lmran, Rohit, Sandeep, Vikas, Yuvraj and Uday, were standing in a queue (not necessarily in the same order) at the billing counter in a supermarket for billing the items that they wanted to purchase. The number of items that each person wanted to purchase is a distinct positive integer less than eight. The following information is known about the number of items with each of them and their positions in the queue:

1. Rohit, who was standing immediately behind Yuvraj, wanted to purchase three items more than Yuvraj.
2. There were at least four persons standing in front of Uday and none of them wanted to purchase a lower number of items than him.
3. The person who wanted to purchase the least number of items was standing two places away from Vikas.
4. Sandeep, who was not standing at either end, was standing in front of Vikas.
5. The person standing immediately in front Anant wanted to purchase two items less than Uday.

Q1. Who had the highest number of items among the seven persons?

1. Rohit
2. Vikas
3. Sandeep
4. Anant

Q2. How many persons had a higher number of items than Anant?

Q3. Who was standing immediately in front of the person with the second highest number of items?

1. Vikas
2. Sandeep
3. Rohit
4. Cannot be determined

Q4. For how many persons can it be said that all the persons standing in front of them have a lower number of items than them?

Given that at least four persons were standing in front of Uday and all these persons have higher number of items than Uday. Hence, Uday can have at most 3 items and at least 1 item (since no one can have more than 7 items). From (v). the person in front of Anant had two items less than what Uday had. Hence. Uday must have at least 3 items. Therefore, Uday has exactly 3 items and the person in front of Anant has 1 item. This person must be the one with the least number of items. Further. this person cannot be in front of Uday (since he has lesser number of items). Hence, Uday must be in the 5th position. the person with the lowest number of items in the 6 position and Anant must be in the last position.

From (iii). the person with the lowest number of items was standing two places away from Vikas. Hence, Vikas must be in the 4th position. Further. the four persons in front of Uday must have 4. 5. 6 and 7 items in any order. Since Rohit and Yuvraj are in front of Uday. and from (i). Rohit must have 7 items and Yuvraj 4 items. Also. Anant must have 2 items.

Sandeep cannot be in the f‌irst place (from (iv). He cannot be in the second place, because then. Yuvraj and Rohit cannot be next to each other. Hence. he has to be in the third place. Yuvraj must be in the first place and Rohit in the second place. Vikas and Sandeep must have 5 and 6 items in any order. The following table presents the order and the number of items that each person had:

 Order 1 2 3 4 5 6 7 Person Yuvraj Rohit Sandeep Vikas Uday Imran Anant Number of Items 4 7 6/5 516 3 1 2

Q1. Rohit had the highest number of items. Option 1

Q2. Except for lmran. all the other persons have a higher number of items than Anant. Answer: 5

Q3. The person with the second highest number of items can be Vikas or Sandeep. Hence. the answer cannot be determined. Option 4

Q4. Only for Rohit will the given condition be satisf‌ied. Option 2

CAT LRDI Questions [Difficult] SET
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