Question

1,2,3,4=94,2,0,4,3=98,5,1,3,2=?​

Answer 1

Given :-

• 1, 2, 3, 4 = 94
• 2, 0, 4, 3 = 98
• 5, 1, 3, 2 = ?

Solution :-

Logic :-

• a, b, c, d => (c + d)² * 2 - (a * b)² = Result .
• a, b, c, d => 2[(c + d)² - (a * b)] = Result .

Answer 1) :-

1, 2, 3, 4 = 94

→ a = 1, b = 2, c = 3, d = 4

using (c + d)² * 2 - (a * b)²

→ (3 + 4)² * 2 - (1 * 2)²

→ (7)² * 2 - 2²

→ 49 * 2 - 4

→ 98 - 4

→ 94

2, 0, 4, 3 = 98

→ a = 2, b = 0, c = 4, d = 3

using (c + d)² * 2 - (a * b)²

→ (4 + 3)² * 2 - (2 * 0)²

→ (7)² * 2 - 0²

→ 49 * 2 - 0

→ 98 - 0

→ 98

applying same logic next term will be ,

5, 1, 3, 2 = ?

→ a = 5, b = 1, c = 3, d = 2

using (c + d)² * 2 - (a * b)²

→ (3 + 2)² * 2 - (5 * 1)²

→ (5)² * 2 - 5²

→ 25 * 2 - 25

→ 50 - 25

→ 25 (Ans.)

___________

Answer 2) :-

1, 2, 3, 4 = 94

→ a = 1, b = 2, c = 3, d = 4

using 2[(c + d)² - (a * b)]

→ 2[(3 + 4)² - (1 * 2)]

→ 2[7² - 2]

→ 2(49 - 2)

→ 2 * 47

→ 94

2, 0, 4, 3 = 98

→ a = 2, b = 0, c = 4, d = 3

using 2[(c + d)² - (a * b)]

→ 2[(3 + 4)² - (2 * 0)]

→ 2[7² - 0]

→ 2(49 - 0)

→ 2 * 49

→ 98

applying same logic next term will be ,

5, 1, 3, 2 = ?

→ a = 5, b = 1, c = 3, d = 2

using 2[(c + d)² - (a * b)]

→ 2[(3 + 2)² - (5 * 1)]

→ 2[5² - 5]

→ 2(25 - 5)

→ 2 * 20

→ 40 (Ans.)

Hence, 25 and 40 both terms are possible answers .

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