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Answer:
We can Solve this by Two Pattern, I'm going to Solve by Both of the Patterns.
☯ PATTERN 1 :
1st Series : 7, 2, 5, 4 = 100
2nd Series : 7, 2, 6, 3 = ?
3rd Series : 9, 4, 7, 8 = 400
we will try by Adding the Square of Even Numbers in Series and multiplying it by 5.
◗ 1st Series :
↠ (2² + 4²) × 5
↠ (4 + 16) × 5
↠ 20 × 5
↠ 100
◗ 3rd Series :
↠ (4² + 8²) × 5
↠ (16 + 64) × 5
↠ 80 × 5
↠ 400
◗ 2nd Series :
↠ (2² + 6²) × 5
↠ (4 + 36) × 5
↠ 40 × 5
↠ 200
∴ Required Number will be D) 200.
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☯ PATTERN 2 :
1st Series : 7, 2, 5, 4 = 100
2nd Series : 7, 2, 6, 3 = ?
3rd Series : 9, 4, 7, 8 = 400
we will try by Multiplying the Result by 2.
⇴ 1st Series : 100
⇴ 2nd Series : (100 × 2) = 200
⇴ 3rd Series : (200 × 2) = 400
∴ Required Number will be D) 200.