Select the triad in which the numbers are related in the same way as are the numbers of the given triads. (25, 22, 47), (31, 24, 55) (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)(17, 15, 22)
- (b)(22, 19, 45)
- (c)(18, 21, 39)
- (d)(27, 25, 42)
Answer
Why
Correct — C. Settle the rule on the two given triads before looking at any option.
25 + 22 = 47
31 + 24 = 55
Rule: first number + second number = third number.
Test (18, 21, 39): 18 + 21 = 39, exactly the third number → option (c).
No other option adds up — 17 + 15 = 32, 22 + 19 = 41 and 27 + 25 = 52, against printed thirds of 22, 45 and 42.
Why the others are wrong
- (a)(17, 15, 22) — (17, 15, 22) gives 17 + 15 = 32, not 22. The difference 17 − 15 = 2 invites a subtraction reading that the given triads do not support.
- (b)(22, 19, 45) — (22, 19, 45) gives 22 + 19 = 41, four short of 45. On triad matching the arithmetic has to land exactly.
- (d)(27, 25, 42) — (27, 25, 42) gives 27 + 25 = 52, ten over 42. Subtracting instead reaches only 2, so no reading of this triple works.
Concept
Triad matching gives you two worked examples and asks for a third of the same kind. Both examples must satisfy whatever rule you propose — one is never enough.
Start with the simplest operations. Addition, subtraction, then product with a constant. Here plain addition fits both given triads, so there is no reason to look for anything more elaborate.
Three of the four options sit within ten of their own sum, which is deliberate. An answer that is close is simply wrong on this item type.
Key facts
- Both given triads satisfy first plus second equals third.
- 18 + 21 = 39 is the only option that meets that rule.
- The printed note bars digit-splitting, so 25 stays twenty-five throughout.
Study next
Common traps
- Building the rule from the first given triad alone.
- Choosing the nearest option rather than the exact one.
- Splitting numbers into digits, which the printed note forbids.
The same instruction and the same whole-numbers note run at 26 Sep 2024, 09:00, Reasoning Q.19.
The note appears again at 13 Sep 2024, 12:30, Reasoning Q.2 (16-40-100 and 8-20-50, where the link is a ratio rather than a sum), behind a differently worded instruction — 'related to each other in the same way as the numbers in the following triads'.
Related PYQs
No directly related past PYQ was found.