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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.
16 : 144 : : 28 : ?
263
420
364
544
Let's break down the logic:
- 16 is related to 144.
- 16 × 9 = 144
- Now, check the same relationship for 28.
- 28 × 9 = 252
- None of the options is 252; let’s check if 16 and 144 have any other relationship.
- 16² = 256 (not 144)
- 16 × 16/4 = 64
- 16 × 8 = 128
- 16 × 10 = 160
- But, 12 × 12 = 144 (not related to 16)
- 144 is 16 × 9 (so maybe multiply by square number?)
- Check options for 28:
- 28 × 13 = 364 (Option 3)
- None match 420 unless another pattern exists.
So, the correct answer is:
- Option 3: 364
Summary of options:
- Option 1: 263 (not a multiple of 28)
- Option 2: 420 (28 × 15 = 420, but the first pair is not ×15)
- Option 3: 364 (28 × 13, matches the pattern of first number times an odd number)
- Option 4: 544 (doesn’t fit pattern)
By: santosh ProfileResourcesReport error
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