(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 /subtracting/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)
(40, 10, 150)
(65, 35, 150)
Number Set Relation: Finding the Pattern
The question asks us to identify a relationship between the three numbers in a given set and find the option that follows the same relationship.
Identifying the Pattern
Let's denote the numbers in a set as $(A, B, C)$. We need to find a mathematical operation involving $A$ and $B$ that results in $C$. The constraint is to operate on whole numbers.
Consider the first given set $(40, 10, 150)$. We test possible operations:
- $(A + B) \times K = C \implies (40 + 10) \times K = 150 \implies 50 \times K = 150 \implies K=3$.
- $(A - B) \times K = C \implies (40 - 10) \times K = 150 \implies 30 \times K = 150 \implies K=5$.
Now let's check the second set $(65, 35, 150)$ with the second potential pattern, $(A - B) \times 5 = C$.
- $(65 - 35) \times 5 = 30 \times 5 = 150$.
The pattern $(A - B) \times 5 = C$ holds true for both given sets.
Checking the Options
We apply the identified pattern $(A - B) \times 5 = C$ to each option:
| Option | Set (A, B, C) | Calculation | Result | Matches C? |
|---|---|---|---|---|
| 1 | (75, 40, 225) | $(75 - 40) \times 5$ | $35 \times 5 = 175$ | No |
| 2 | (30, 12, 120) | $(30 - 12) \times 5$ | $18 \times 5 = 90$ | No |
| 3 (C) | (55, 10, 225) | $(55 - 10) \times 5$ | $45 \times 5 = 225$ | Yes |
| 4 | (70, 30, 270) | $(70 - 30) \times 5$ | $40 \times 5 = 200$ | No |
Option 3 (C) is the only set where the numbers follow the pattern $(A - B) \times 5 = C$.
Important Questions from Analogy
Select the related word pair from the given alternatives. Teeth : Cut :: ____ : ______.
Select the related word pair from the given alternatives. Celsius : Temperature :: ______ : ____.
Select the option that is related to the third term in the same way as the second term is related to the first term.
0.24 : 0.0024 :: 3.03 : ?
Select the option in which the numbers are related in the same way as are the numbers in the given set.
(11, 13, 17)
Select the option that is related to the third number in the same way as the second number is related to the first number.
154 : 10 :: 261 : ?
