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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 and the
sixth number is related to the fifth number.
15 : 135 :: 16 : ? :: 18 : 189
152
121
131
141
Let’s break it down:
- First pair: 15 : 135.
What’s going on here? 15 × 9 = 135.
- Second pair: 16 : ?
So, using the same pattern: 16 × 9 = 144. I’m looking for 144 in the options, but it’s not there. Let’s move on.
- Third pair: 18 : 189.
18 × 10.5 = 189. That doesn’t work with the previous pattern.
Another look, maybe it’s something else. Let’s check the options for 16:
Option 1, 152: 16 × 9.5 = 152.
Option 2, 121: 16 × 7.5625 = 121. Doesn't fit.
Option 3, 131: 16 × 8.1875 = 131. Nope.
Option 4, 141: 16 × 8.8125 = 141. Also no.
Hang on—let’s check the incremental logic:
- The difference between 135 (from 15) and 15: 135/15 = 9.
- The difference between 189 (from 18) and 18: 189/18 = 10.5.
Maybe it increases by 1.5?
- 9 (for 15),
- 10.5 (for 18),
- So in between (for 16), it should be 9 + 0.75 = 9.75, but none fit that exactly.
But looking closer, none of the options perfectly fit the sequence.
So, if we just focus on the closest logical, option 1 (152) comes from multiplying 16 by 9.5 (which is incremental).
But if this sequence was 15×9, 16×9.5, 18×10.5—it’s not a clean progression. But based on the options, option 1 has the best pattern continuity.
So, Option 1 — 152 is the best fit here.
By: santosh ProfileResourcesReport error
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