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Year

CAT 2024

Section

Data

Topic

Network Flow Diagrams

Difficulty

Hard

Question

Slot-2

Read the passage and answer the questions below.

Passage:

The numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 are placed in ten slots of the following grid based on the conditions below.

image

  1. Numbers in any row appear in an increasing order from left to right.

  2. Numbers in any column appear in a decreasing order from top to bottom.

  3. 1 is placed either in the same row or in the same column as 10.

  4. Neither 2 nor 3 is placed in the same row or in the same column as 10.

  5. Neither 7 nor 8 is placed in the same row or in the same column as 9.

  6. 4 and 6 are placed in the same row.

Question 1

What is the row number which has the least sum of numbers placed in that row?

Question 2

Which of the following statements MUST be true?

I. 10 is placed in a slot in Row 1.

II. 1 is placed in a slot in Row 4.

Both I and II

Neither I nor II

Only II

Only I

Question 3

Which of the following statements MUST be true? I. 2 is placed in a slot in Column 2. II. 3 is placed in a slot in Column 3.

Only I

Both I and II

Neither I nor II

Only II

Question 4

For how many slots in the grid, placement of numbers CANNOT be determined with certainty?

Question 5

What is the sum of the numbers placed in Column 4?

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