Find the wrong number from the table given below: 2 4 1 5 6 12 3 15 18 36 9 45…
2023
Find the wrong number from the table given below:
2 | 4 | 1 | 5 |
6 | 12 | 3 | 15 |
18 | 36 | 9 | 45 |
54 | 108 | 27 | 100 |
Answer: C. 100 — ConceptIn a number table, identify a rule that applies uniformly to corresponding rows or columns. A candidate wrong entry is the one that breaks that rule…
- A.
9
- B.
36
- C.
100
- D.
More than one of the above
- E.
None of the above
Attempted by 16 students.
Show answer & explanation
Correct answer: C
Concept
In a number table, identify a rule that applies uniformly to corresponding rows or columns. A candidate wrong entry is the one that breaks that rule while the remaining entries preserve it.
Application
Multiplying every entry of the first row by 3 gives the second row: (2, 4, 1, 5) × 3 = (6, 12, 3, 15).
Multiplying every entry of the second row by 3 gives the third row: (6, 12, 3, 15) × 3 = (18, 36, 9, 45).
Applying the same rule to the third row gives the expected fourth row: (18, 36, 9, 45) × 3 = (54, 108, 27, 135).
The displayed fourth row is (54, 108, 27, 100), so its last entry differs from the expected value 135.
Cross-check
Down the fourth column, 5 × 3 = 15 and 15 × 3 = 45, so the next value must be 45 × 3 = 135. The first three columns also continue by multiplication by 3.
Therefore, 100 is the wrong number.