Need correct answer with explanation
Answers
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
- so we seen, this pattern is working.
◗ 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.
Answer:-
- First series: 7, 2, 5, 4 = 100
- Second series: 7, 2, 6, 3 = ?
- Third series: 9, 4, 7, 8 = 400
We observe that in the series given there are 2 even numbers and 2 odd numbers.
We will use the even numbers.
- First series:-
Squaring the even numbers.
2² = 4, 4² = 16
Adding them,
4 + 16 = 20
Multiplying it by 5,
20 × 5 = 100
Hence, 7, 2, 5, 4 = 100
- Third series:-
Squaring the even numbers.
8² = 64, 4² = 16
Adding them,
64 + 16 = 80
Multiplying it by 5,
80 × 5 = 100
Hence, 9, 4, 7, 8 = 400
- Second series:-
Squaring the even numbers.
2² = 4, 6² = 36
Adding them,
4 + 36 = 40
Multiplying it by 5,
40 × 5 = 200
Hence, 7, 2, 6, 3 = 200
We can also get to the answer by multiplying 2 by the result number.
Like the first result is 100.
So, for the second series it is 100 × 2 = 200.
And, for the third series 200 × 2 = 400.