Select the set in which the numbers are related in the same way as are the…
2024
Select the set in which the numbers are related in the same way as are the numbers of the following set.
(7, 9, 48)
(6, 8, 42)
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding/deleting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
- A.
(8, 10, 47)
- B.
(9, 11, 56)
- C.
(11, 13, 72)
- D.
(10, 12, 54)
Attempted by 12 students.
Show answer & explanation
Correct answer: C
Solution
The given sets are:
(7, 9, 48)
(6, 8, 42)
Observe the relationship between the numbers:
For (7, 9, 48):
Sum of the first two numbers = 7 + 9 = 16
16 × 3 = 48
For (6, 8, 42):
Sum of the first two numbers = 6 + 8 = 14
14 × 3 = 42
Therefore, the pattern is:
Third Number = (First Number + Second Number) × 3
Now check the options:
(8, 10, 47) → (8 + 10) × 3 = 54 ≠ 47
(9, 11, 56) → (9 + 11) × 3 = 60 ≠ 56
(11, 13, 72) → (11 + 13) × 3 = 72 ✓
(10, 12, 54) → (10 + 12) × 3 = 66 ≠ 54
Only (11, 13, 72) follows the same pattern as the given sets.
Correct Answer: Option C — (11, 13, 72) ✅