Three of the following four pairs have the same relationship between their elements as in the case of the pair BRIGHT: 24 and hence form a group. Which one does not belong to the group?
This question requires us to identify a specific pattern or relationship between the word and the number in the pair BRIGHT: 24. We then need to apply this same relationship to the other given pairs (SMART: 21, SHARP: 20, QUICK: 20, BRAINY: 24) and find the one pair that does *not* follow this rule. The pair that doesn't fit is the answer.
Let's first determine the relationship between the word BRIGHT and the number 24.
Now, we will check if the other pairs follow the same rule: (Number of letters $\times$ 4).
| Option Pair | Word | Number of Letters | Calculation (Letters $\times$ 4) | Result | Does it Match? |
|---|---|---|---|---|---|
| BRIGHT: 24 | BRIGHT | 6 | $6 \times 4$ | 24 | Yes |
| SMART: 21 | SMART | 5 | $5 \times 4$ | 20 | No (Expected 20, Got 21) |
| SHARP: 20 | SHARP | 5 | $5 \times 4$ | 20 | Yes |
| QUICK: 20 | QUICK | 5 | $5 \times 4$ | 20 | Yes |
| BRAINY: 24 | BRAINY | 6 | $6 \times 4$ | 24 | Yes |
From the table above, we can see that:
Since three pairs (SHARP: 20, QUICK: 20, BRAINY: 24) follow the relationship (Number of letters $\times$ 4), and SMART: 21 does not, SMART: 21 is the pair that does not belong to the group.