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Select the option in which the numbers are related in the same way as are the numbers of the following set.
(18, 24, 144)
(22, 18, 246)
(26, 15, 130)
(16, 12, 109)
(18, 20, 137)
Let's look at the original set: (18, 24, 144)
Here’s the thing: 18 × 8 = 144, and 24 × 6 = 144. But another, simpler way—18 × 24 = 432, which doesn’t match 144.
But wait—18 × 24 = 432
18 + 24 = 42 (not matching 144)
Is 18 the square root of 144? No, 12 is.
Is 18 × 8 = 144? Yes, but 8’s not given.
Let’s look for patterns.
What if the third number is the sum of the first two plus something? 18 + 24 = 42, not 144.
But what about 18 × 24 ÷ 3 = 144? Yes!
(18 × 24 = 432, and 432 ÷ 3 = 144)
So, pattern: first × second ÷ 3 = third.
Let’s check this pattern for the options:
- Option 1: (22, 18, 246)
22 × 18 = 396
396 ÷ 3 = 132 (but third number is 246, so not a match)
- Option 2: (26, 15, 130)
26 × 15 = 390
390 ÷ 3 = 130 (Third number matches!)
- Option 3: (16, 12, 109)
16 × 12 = 192
192 ÷ 3 = 64 (not 109)
- Option 4: (18, 20, 137)
18 × 20 = 360
360 ÷ 3 = 120 (not 137)
So, only option 2 has the same relationship.
Option 2: (26, 15, 130) is the correct answer.
By: santosh ProfileResourcesReport error
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