Which set of numbers is like the given set?
Given set: (733, 992, 632)
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → (845, 215, 368)
In each number of the given set, the middle digit is the digit sum of the product of the first and last digits:
733: \(7\times3=21\), \(2+1=3\)
992: \(9\times2=18\), \(1+8=9\)
632: \(6\times2=12\), \(1+2=3\)
The rule tested on the options:
Option (1): all three fit
845: \(8\times5=40\), \(4+0=4\)
215: \(2\times5=10\), \(1+0=1\)
368: \(3\times8=24\), \(2+4=6\)
Option (2): 123: \(1\times3=3\), but the middle digit is 2 — does not fit
Option (3): 213: \(2\times3=6\), but the middle digit is 1 — does not fit
Option (4): 859: \(8\times9=72\), \(7+2=9\), but the middle digit is 5 — does not fit