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.
(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.)
(18, 378, 7)
(14, 210, 5)
- A.
(15, 405, 9)
- B.
(23, 230, 5)
- C.
(17, 204, 6)
- D.
(17, 272, 8)
Attempted by 7 students.
Show answer & explanation
Correct answer: A
To find the set that follows the same relationship, let's first analyze the pattern in the given sets: (18, 378, 7) and (14, 210, 5).
Pattern Analysis
Set 1: (18, 378, 7)
Divide the middle number by the third number: 378 / 7 = 54.
Observe the relationship between the first number (18) and the result (54): 18 * 3 = 54.
Alternatively: (18 * 7) * 3 = 126 * 3 = 378.
Set 2: (14, 210, 5)
Divide the middle number by the third number: 210 / 5 = 42.
Observe the relationship between the first number (14) and the result (42): 14 * 3 = 42.
Alternatively: (14 * 5) * 3 = 70 * 3 = 210.
The Rule: The middle number is equal to (First Number * Third Number) * 3.