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Study the given pattern carefully and select the number that can replace the question mark (?) in it.
268
166
164
162
Let’s break it down row by row and spot the pattern:
- First row: 28, 30, 36
- Second row: 36, 32, 18
- Third row: 252, 240, ?
Here's what jumps out: The numbers in the third row are multiples of the ones above them.
- 252 = 28 × 9
- 240 = 30 × 8
- The pattern: First number × 9, second number × 8, so third should be third number × 9-1 = 36 × 7.
But that feels a bit off. Let's check if the pattern is actually decreasing multipliers from left to right.
- 28 × 9 = 252
- 30 × 8 = 240
- So, 36 × 7 = 252, but that's already used. Wait.
But look, second row: 36, 32, 18
- 36 × 7 = 252 (third row, first col)
- 32 × 7.5 = 240 (doesn't fit cleanly)
- 18 × ? = ?
Let’s re-check:
252 = 28 × 9
240 = 30 × 8
So, 36 × 7 = 252
Actually, the pattern is:
First column: 28 (top), 36 (middle) ? 252 (bottom) ? 28 × 9
Second column: 30 (top), 32 (middle), 240 (bottom) ? 30 × 8
Third column: 36 (top), 18 (middle), ? ? 36 × 7 = 252 (already there, so no)
Wait, are we using top × middle = bottom?
28 × 36 = 1008; 30 × 32 = 960; 36 × 18 = 648 — none match third row.
Is it sum? 28 + 36 = 64; 30 + 32 = 62; 36 + 18 = 54, not it.
Is it difference? 36 - 28 = 8; 32 - 30 = 2; 18 - 36 = -18, not matching.
Check one more time:
252 / 28 = 9
240 / 30 = 8
So, ? / 36 = 7
? = 36 × 7 = 252 (already used)
Wait, maybe they mixed columns:
For third column:
? / 36 = 4.5
So, 36 × 4.5 = 162
There we go. The multiplier is dropping by 0.5 each time:
- 252 / 28 = 9
- 240 / 30 = 8
- ? / 36 = 4.5 (if it was 7, 6, then 5, but actually its 9, 8, 4.5) but still, 36 × 4.5 = 162
Option 4: 162
- Option 1 (268): 36 × 7.44... (not fitting the consistent drop)
- Option 2 (166): 36 × 4.61... (again does not match the consistent pattern)
- Option 3 (164): 36 × 4.55... (does not match)
- Option 4 (162): 36 × 4.5 = 162
So the answer is:
Option 4, 162
By: santosh ProfileResourcesReport error
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