Odd One Out (SSC CHSL 2021 Tier – 1)

{√(2^nd number) + 2}² = 1^st number

(36 : 16) → (√16 + 2)² ⇒ (4 + 2)² ⇒ 6² = 36

(49 : 25) → (√25 + 2)² ⇒ (5 + 2)² ⇒ 7² = 49

(81 : 49) → (√49 + 2)² ⇒ (7 + 2)² ⇒ 9² = 81

But,

(100 : 81) → (√81 + 2)² ⇒ (9 + 2)² ⇒ 11² = 121 ≠ 100

Hence, (100 : 81) is the correct answer.

(1^st number × 17) = 2^nd number

(19 : 323) → 19 × 17 = 323

(43 : 731) → 43 × 17 = 731

(21 : 357) → 21 × 17 = 357

But,

(15 : 256) → 15 × 17 = 255 ≠ 256

Hence, (15 : 256) is the correct answer.

Digits are rearranged in descending order.

(7938 : 9873) → after arranging 7938 in descending order we get 9873.
(5286 : 8652) → after arranging 5286 in decreasing order we get 8652.
(8734 - 8743) → after arranging 8734 in descending order we get 8743.

But,
(4612 - 6412) → after arranging 4612 in descending order we get 6421 which is not equal to 6412.

Hence, (4612 - 6412) is the correct answer.

{(1^st number ÷ 3) × 10} = 2^nd number

(93 : 310) → {(93 ÷ 3) × 10} ⇒ (31 × 10) = 310
(54 : 180) → {(54 ÷ 3) × 10} ⇒ (18 × 10) = 180

(33 : 110) → {(33 ÷ 3) × 10} ⇒ (11 × 10) = 110

But,

(48 : 165) → {(48 ÷ 3) × 10} ⇒ (16 × 10) = 160 ≠ 165

Hence, (48 - 165) is the correct answer.

(2^nd number - 3)² = 1^st number

(81 : 12) → (12 - 3)² ⇒ (9)² = 81
(64 : 11) → (11 - 3)² ⇒ (8)² = 64
(100 : 13) → (13 - 3)² ⇒ (10)² = 100
But,

(121 : 16) → (16 - 3)² ⇒ (13)² = 169 ≠ 121

Hence, (121 : 16) is the correct answer.

(√1^st number)³ = 2^nd number

(25 : 125) → (√25)³ ⇒ 5³ = 125
(49 : 343) → (√49)³ ⇒ 7³ = 343
(36 : 216) → (√36)³ ⇒ 6³ = 216
But,

(81 : 730) → (√81)³ ⇒ 9³ = 729 ≠ 730

Hence, (81 : 730) is the correct answer.

(1^st number × 3) = 2^nd number

(50 : 150) → (50 × 3) = 150
(40 : 120) → (40 × 3) = 120
(20 : 60) → (20 × 3) = 60
But,

(30 : 80) → (30 × 3) = 90 ≠ 80

Hence, (30 : 80) is the correct answer.

{(1^st number × 2) - 2} = 2^nd number

(43 : 84) → {(43 × 2) - 2} ⇒ (86 - 2) = 84
(21 : 40) → {(21 × 2) - 2} ⇒ (42 - 2) = 40
(19 : 36) → {(19 × 2) - 2} ⇒ (38 - 2) = 36
But,

(15 : 21) → {(15 × 2) - 2} ⇒ (30 - 2) = 28
Hence, (15 : 21) is the correct answer.

[{(1^st number)³ + 1} ÷ 2] = 2^nd number

(3 : 14) → {(3³ + 1) ÷ 2} ⇒ {(27 + 1) ÷ 2} ​⇒ (28 ÷ 2) = 14

(5 : 63) → {(5³ + 1) ÷ 2} ⇒ {(125 + 1) ÷ 2} ​⇒ (126 ÷ 2) = 63

(7 : 172) → {(7³ + 1) ÷ 2} ⇒ {(343 + 1) ÷ 2} ​⇒ (344 ÷ 2) = 172
But,

(9 : 355) → {(9³ + 1) ÷ 2} ⇒ {(729 + 1) ÷ 2} ​⇒ (730 ÷ 2) = 365 ≠ 355

Hence, (9 : 355) is the correct answer.

(1^st number + 1)² = 2^nd number

(3 : 16) → (3 + 1)² ⇒ (4)² = 16
(6 : 49) → (6 + 1)² ⇒ (7)² = 49
(12 : 169) → (12 + 1)² ⇒ (13)² = 169
But,
(9 : 64) → (9 + 1)² ⇒ (10)² = 100 ≠ 64

Hence, (9 : 64) is the correct answer.