Analogy varieties Question TCS (Part – I)

Numbers are arranged in reverse order.
7 # 3 # 2 = 237 and 8 # 4 # 1 = 148
Similarly,
3 # 5 # 4 = 453

Hence, 453 is the correct answer.

@ = power

(7 @ 3) → 7³ = 343
(9 @ 3) → 9³ = 729
Similarly,

(6 @ 3) → 6³ = 216

Hence, 216 is the correct answer.

"*" is replaced by "×"
(13 * 27 * 3) → (13 × 27 × 3) = 1053
(4 * 8 * 13) → (4 × 8 × 13) = 416
Similarly,

(3 * 16 * 10) → (3 × 16 × 10) = 480

Hence, 480 is the correct answer.

n : n² - (n × 2)
(8 : 48) → {8² - (8×2)} = 48
(15 : 195) → {15² - (15 × 2)} = 195

let the missing number be y :
y² - 2y =143
y² - 13y + 11y - 483 =0
y(y - 13) + 11(y - 13)
(y + 11)(y - 13) = 0
(y = -11), (y = 13)
Similarly,

y : 143 : y² - (y × 2) = 143
So, n = 13

Hence, 13 is the correct answer.

n :n(n + 2)/3
(16 : 96) → 16 × (16+2) ÷ 3 = 96
(18 : 120) → 18 × (18+2) ÷ 3 = 120

let the missing number be y :
y(y + 2) ÷ 3 = 161
y(y + 2) = 161 × 3
y² + 2y - 483 = 0
y² + 23y - 21y - 483 = 0
y(y + 23) - 21(y + 23)
(y - 21)(y + 23) = 0
y - 21 = 0 or y + 23 = 0
hence y = 21 or y = -23
Therefore,

(y : 161) = 21 × (21+2) ÷ 3 = 161

Hence, 161 is the correct answer.

(1^st number × 3^rd number) + 3^rd number = 2^nd number
(8, 540, 60) → (8 × 60) + 60 = 540
(9, 770, 7) → (9 × 7) + 7 = 70
Similarly,

(8, 63, 7) → (8 × 7) + 7 = 63

Hence, (8, 63, 7) is the correct answer.

(2 × 1^st number + √3^rd number) = 2^nd number
(17, 59, 625) → (2 × 17 + √625) = 59
(8, 44, 784) → (2 × 8 + √784) = 44
Similarly,
(12, 69, 2025) → (2 × 12 + √2025) = 69

Hence, (12, 69, 2025) is the correct answer.

(4, 9, 16) → {(2)², (2 + 1)²), (2 + 2)²}
(25, 36, 49) → {(5)², (5 + 1)²), (5 + 2)²}
Similarly,
(49, 64, 81) → {(7)², (7 + 1)², (7 + 2)²)}

Hence, (49, 64, 81) is the correct answer.

{(1^st number)² + (1^st number)³}
(5 : 150) → (5² + 5³) = 150
(8 : 576) → (8² + 8³) = 576
Similarly,

(6 : 252) → (6² + 6³) = 252

Hence, 252 is the correct answer.

(t₁ : t2) → [{(1^st term)² - 1^st term} ÷ 2]
(10 : 45) → {(10² - 10) ÷ 2} = 45
(11 : 55) → {(11² - 11) ÷ 2} = 55
Similarly,

(8 : 28) → {(8² - 8) ÷ 2} = 28

Hence, 28 is the correct answer.