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Select the option that is related to the third number in the same way as the second number is related to the first number.
12 : 60 :: 16 : ?
121
210
112
201
Let’s break it down step by step:
- First, look at the pattern between 12 and 60.
- 12 x 5 = 60.
- Now, let’s check if that pattern fits for 16.
- 16 x 5 = 80.
- But 80 isn't in the options. So maybe there’s a different pattern.
What if we try another angle?
- Look at the digits:
- For 12: 1 & 2, for 60: 6 & 0. No clear connection.
- Could it be square of the number plus something?
- 12² = 144, 16² = 256. Not matching any options.
Let’s try option by option:
- 121 (option 1): 16 x 7.56. Nope.
- 210 (option 2): 16 x 13.125. Doesn’t fit a pattern.
- 112 (option 3): 16 x 7 = 112. That seems random.
- 201 (option 4): Makes no clear relation.
But hang on, let’s look back:
- 12 : 60.
- 60/12 = 5.
- Now, none of the numbers in options (121, 210, 112, 201) divided by 16 gives a whole number except 112/16 = 7.
Let’s check if there's a reason for multiplying by 7 this time:
- There’s nothing in the numbers that says the multiplier should switch from 5 to 7, unless the pattern is just “multiply by something.”
Summary:
- The only option where the second number is a whole multiple of the first (like the sample pair) is option 3: 16 x 7 = 112.
- The first pattern is multiply by 5; the second seems to be multiply by 7.
The correct answer is option 3: 112.
By: santosh ProfileResourcesReport error
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