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Select the number from among the given options that can replace the question mark (?) in the following series.
61, 70, 95, ?, 225, 346
136
144
182
132
Let’s break it down, step by step:
- The series goes: 61, 70, 95, ?, 225, 346.
- First, look for the pattern in the gaps between numbers:
70 - 61 = 9
95 - 70 = 25
? - 95 = ?
225 - ? = ?
346 - 225 = 121
- Notice something? 9, 25, and 121 are all perfect squares: 3², 5², 11².
- Let’s see if this sequence fits: next would be 7² = 49, and then maybe 9² = 81.
Let’s test by filling in:
- After 95, add 49: 95 + 49 = 144
- After 144, add 81: 144 + 81 = 225
- After 225, add 121: 225 + 121 = 346
Here’s what this really means:
Option 2—144—makes the series work perfectly.
Options review:
- Option 1: 136 – Not fitting.
- Option 2: 144 – Fits the perfect square addition pattern. ??
- Option 3: 182 – No connection with squares in sequence.
- Option 4: 132 – Doesn’t fit.
By: santosh ProfileResourcesReport error
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