Missing Number (SSC MTS 2020 Tier -1)

5³ - 10 = 115,

6³ - 10 = 206

7³ - 10 = 333

8³ - 10 = 502

9³ - 10 = 719

Hence,

? = 333

Row-wise → (1st number - 2nd number) ÷ 2 = 3rd number

{(445 - 285) ÷ 2} = 80

{(550 - 332) ÷ 2} = 109

Similarly,

{(655 - 441) ÷ 2} = 107

Hence, "107" is the correct answer.

Row-wise → {(1st number × 2nd number) + (1st number + 2nd number)} = 3rd number

In row first → {(9 × 7) + (9 + 7)} = 79

In row second → {(7 × 8) + (7 + 8)} ⇒ 56 + 15 = 71

In row Third → {(6 × 9)  + (6 + 9)} ⇒ 54 + 15 = 69

Hence, "69" is the correct answer.

Column-wise → (1st term - 2nd term)² = 3rd term

For 1st column → (28 - 20)² ⇒ 8² = 64

For 2nd column → (45 - 36)² ⇒ 9² = 81

Similarly,

For 3rd column → (22 - 18)² ⇒ 4² = 16

Hence, "18" is the correct answer.

Row wise → {(1st term × 2) + (2nd term × 3)} = 3rd term

For 1st row → {(7 × 2) + (12 × 3)} = 53

For 2nd row → {(10 × 2) + (11 × 3)} = 53

Similarly,

For the 3rd row → {(12 × 2) + (15 × 3)} = 69

Hence, "69" is the correct answer.

In Row First → 7 × 3 = 21, 21 × 4 = 84, 84 × 5 = 420

Similarly,

In Row Second → 15 × 3 = 45, 45 × 4 = 180, 180 × 5 = 900,

Hence, "A = 180, B = 900" is the correct answer.

Horizontally multiply 1st term by 10, 2nd term by 5 and then add 1st and 2nd term:

{(15 × 10) + (14 × 5)} ⇒ 150 + 70 = 220

{(20 × 10) + (18 × 5)} ⇒ 200 + 90 = 290

Similarly,

{(11 × 10) + (40 × 5)} ⇒ 110 + 200 = 310

Hence, "310" is the correct answer.

Column-wise → {(a² + b²) × 2} = c

{(5² + 7²) × 2} ⇒ {(25 + 49) × 2} ⇒ 74 × 2 = 148

{(9² + 3²) × 2} ⇒ {(81 + 9) × 2} ⇒ 90 × 2 = 180

Similarly,

{(5² + x²) × 2} = 292 ⇒ 25 + x² = 146

⇒ x² = 146 - 25

⇒ x² = 121

⇒ x = 11

Hence, "11" is the correct answer.

In row → (a² - b³) = c

15² - 4³ ⇒ 225 - 64 = 161

16² - 5³ ⇒ 256 - 125 = 131

Hence, "131" is the correct answer.

8 × 14 = 112, 112 × 2 = 224

11 × 15 = 165, 165 × 2 = 330

Similarly,

9 × 12 = 108, 108 × 2 = 216

Hence, "216" is the correct answer.