Three of the following four options are alike in a certain way and thus form a group. Which is the option that does NOT belong to that group? (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)2 – 2 – 4
- (b)1 – 3 – 3
- (c)2 – 4 – 8
- (d)3 – 2 – 5
Answer
Why
Correct — D.
Rule: first x second = third.
2 x 2 = 4, so 2 - 2 - 4 fits
1 x 3 = 3, so 1 - 3 - 3 fits
2 x 4 = 8, so 2 - 4 - 8 fits
3 x 2 = 6, but the triple reads 5
The last triple is built on addition instead — 3 + 2 = 5 — so option (d) is the one outside the group.
Why the others are wrong
- (a)2 – 2 – 4 — In 2 - 2 - 4, 2 x 2 = 4, so it obeys the product rule and sits with the others. It also happens to satisfy 2 + 2 = 4, which is why it settles nothing on its own.
- (b)1 – 3 – 3 — In 1 - 3 - 3, 1 x 3 = 3. Multiplying by one leaves the number unchanged and can look like a coincidence, but addition would give 4, so the product rule is what holds.
- (c)2 – 4 – 8 — In 2 - 4 - 8, 2 x 4 = 8 while 2 + 4 is only 6. This is the triple that proves the group's rule is multiplication.
Concept
Three-of-four grouping questions ask for the rule that three entries share, and then name the fourth.
Test the cheapest operations first: addition, subtraction, multiplication. Start with a triple that separates them rather than one that satisfies several.
2 - 2 - 4 fits both 2 + 2 = 4 and 2 x 2 = 4, so it decides nothing. 2 - 4 - 8 and 1 - 3 - 3 each work under multiplication and fail under addition, so the group's rule is the product.
Against that rule 3 - 2 - 5 fails, because 3 x 2 is 6. Its numbers are perfectly orderly under a different operation, which is exactly what makes it the intended odd one.
The stem's NOTE keeps every operation on the whole numbers, so a route through the digits is closed off before you start.
Key facts
- 2 x 2 = 4, 1 x 3 = 3 and 2 x 4 = 8 all satisfy first times second equals third.
- 3 x 2 = 6, so 3 - 2 - 5 fails the product rule.
- 3 + 2 = 5, which is why the odd triple still looks regular at a glance.
Study next
Common traps
- Starting at 2 - 2 - 4, which fits addition and multiplication equally and proves nothing.
- Expecting the odd one out to look irregular, when 3 - 2 - 5 is perfectly regular under addition.
Four triples written with dashes, three sharing one operation. Also asked 10 Sep 2024, 16:00, Reasoning Q.1 (81 - 118 - 91 among four) and 12 Sep 2024, 09:00, Reasoning Q.3.
Related PYQs
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