Gadget Review Matrix Missing Values
XAT 2025 · QADI · Hard · Data Interpretation
Passage / data set
GadRev firm reviews four tech gadgets (A, B, C, D) using four reviewers (R1, R2, R3, R4) on an integer scale of 1 to 5. Some ratings were deleted, but the row and column averages were preserved:
| A | B | C | D | Average | Sum | |
|---|---|---|---|---|---|---|
| R1 | 4 | 3 | 4 | 16 | ||
| R2 | 3 | 4 | 4 | 16 | ||
| R3 | 5 | 4 | 16 | |||
| R4 | 4 | 5 | 4.25 | 17 | ||
| Average | 4 | 4 | 4 | 4.25 | ||
| Sum | 16 | 16 | 16 | 17 |
Question 1 of 3
What rating provided by Reviewer R1 to Gadget A can help determining the remaining ratings uniquely?
- A.
1
- B.
4
- C.
2
- D.
5
- E.
3
Question 2 of 3
In how many different ways could Reviewer R2 have rated Gadget B so that the ratings lead to the same averages for the gadgets and the reviewers as shown in the table?
- A.
1
- B.
5
- C.
2
- D.
4
- E.
3
Question 3 of 3
How many different valid combinations of the missing ratings are possible?
- A.
4
- B.
1
- C.
5
- D.
2
- E.
3
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