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 sets.
(34, 47, 62)
(119, 142, 167)
(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.
(27, 38, 51)
- B.
(48, 65, 82)
- C.
(64, 78, 99)
- D.
(79, 98, 119)
Attempted by 7 students.
Show answer & explanation
Correct answer: D
To solve this logical reasoning problem, we need to identify the relationship between the numbers in the given sets and apply the same pattern to the options.
Analysis of the Pattern
Let's look at the differences between the consecutive numbers in the provided sets:
Set 1: (34, 47, 62)
47 - 34 = 13
62 - 47 = 15
Pattern: The numbers increase by adding 13, then by adding 15. The difference increases by 2 (15 - 13 = 2).
Set 2: (119, 142, 167)
142 - 119 = 23
167 - 142 = 25
Pattern: The numbers increase by adding 23, then by adding 25. The difference increases by 2 (25 - 23 = 2).
Evaluating Option 4: (79, 98, 119)
Now, let's apply the same logic to the set in Option 4:
98 - 79 = 19
119 - 98 = 21
Pattern: The numbers increase by adding 19, then by adding 21. Just like the original sets, the second difference is 2 greater than the first difference (21 - 19 = 2).
This set consistently follows the internal arithmetic progression found in the example sets.