Math, asked by silu12, 11 months ago

Need correct answer with explanation​

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Answered by Anonymous
124

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.

━━━━━━━━━━━━━━━━━━━━━━━━

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.

Answered by Nereida
11

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

\rule{200}1

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.

\rule{200}2

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