Analogy (SSC CHSL 2021 Tier 1)

Hence, "ROFMALU" is the correct answer.

(a : b) → {(b² × 2) + 2} = a

$(52\; :\; 5)\; \to \; \{(5²\times 2)+2\}\; \Rightarrow \; \{(25\; \times \; 2)\; +\; 2\}\; \Rightarrow 50+2=52$

$(100\; :\; 7)\; \to \; \{(7²\times 2)+2\}\; \Rightarrow \; \{(49\; \times \; 2)\; +\; 2\}\; \Rightarrow 98+2=\; 100$

Similarly,

$(164\; :\; x)\; \to \; \{(x²\times 2)+2\}\; =\; 164$

$\Rightarrow \; 2x²\; =\; 164\; -\; 2$

$\Rightarrow \; 2x²\; =\; 162$

$\Rightarrow \; x²\; =\; 81$

$\Rightarrow \; x\; =\; 9$

Hence, "9" is the correct answer.

(a : b) → {(a × 4) + (a - 11)} = b

(16 : 69) → {(16 × 4) + (16 - 11)} ⇒ 64 + 5 = 69

(31 : 144) → {(31 × 4) + (31 - 11)} ⇒ 124 + 20 = 144

Similarly,

(24 : ?) → {(24 × 4) + (24 - 11)} ⇒ 96 + 13 = 109

Hence, "109" is the correct answer.

Hence, "IFMTRE" is the correct answer.

(a : b) → {(a + 1) × 4} = b

(19 : 80) → {(19 + 1) × 4} ⇒ 20 × 4 = 80

(23 : 96) → {(23 + 1) × 4} ⇒ 24 × 4 = 96

Similarly,

(16 : ?) → {(16 + 1) × 4} ⇒ 17 × 4 = 68

Hence, "68" is the correct answer.

(a : b) → {(a × 4) - 7} = b

(56 : 217) → {(56 × 4) - 7} ⇒ 224 - 7 = 217

(73 : 285) → {(73 × 4) - 7} ⇒ 292 - 7 = 285

Similarly,

(38 : ?) → {(38 × 4) - 7} ⇒ 152 - 7 = 145

Hence, "145" is the correct answer.

(a : b) → {(a × 6) - 7} = b

(24 : 137) → {(24 × 6) - 7} ⇒ 144 - 7 = 137

(18 : 101) → {(18 × 6) - 7} ⇒ 108 - 7 = 101

Similarly,

(14 : ?) → {(14 × 6) - 7} ⇒ 84 - 7 = 77

Hence, "77" is the correct answer.

(a, b, c) → a × b = c

(56, 12, 672) → 56 × 12 = 672

Similarly,

(14, 21, 294) → 14 × 21 = 294

Hence, "(14, 21, 294)" is the correct answer.

(a : b) → a × 14 = b

(9 : 126) → 9 × 14 = 126

(21 : 294) → 21 × 14 = 294

Similarly,

(? : 238) → 14x = 238 ⇒ x = 17

Hence, "17" is the correct answer.

(a : b) → a² - 18 = b

(5 : 7) → 5² - 18 ⇒ 25 - 18 = 7

(22 : 466) → 22² - 18 ⇒ 484 - 18 = 466

Similarly,

(x : 271) → x² - 18 = 271

⇒ x² = 271 + 18

⇒ x² = 289

⇒ x = 17

Hence, "17" is the correct answer.