Missing Number (SSC CGL 2021 Tier -1)

By going row-wise:

{(First number)³ - (Second number)²} = Third number

(7)³ - (13)² ⇒ 343 - 169 = 174,

(9)³ - (25)² ⇒ 728 - 625 = 104

Similarly,

(11)³ - (30)² ⇒ 1331 - 900 = 431

Hence, "431" is the correct anwer.

In row → {(a)² + (b ÷ 3)} = c

{6² + (18 ÷ 3)} ⇒ 36 + 6 = 42

{7² + (36 ÷ 3)} ⇒ 49 + 12 = 61

Similarly,

{5² + (15 ÷ 3)} ⇒ 25 + 5 = 30

Hence, "30" is the correct answer.

(moving according to the column)

(Sum of two numbers) × (Difference of two numbers)

{(14 + 11) × (14 - 11)} ⇒ 25 × 3 = 75

{(16 + 15) × (16 - 15)} ⇒ 31 × 1 = 31

Similarly,

{(13 + 9) × (13 - 9)} ⇒ 22 × 4 = 88

Hence, "13" is the correct answer.

Product of first two numbers and last two numbers of a column are equal.

For Column 1 → 24 × 6 = 12 × 12

For Column 2 → 36 × 3 = 2 × 54

For Column 3 → 32 × y = 24 × 24,

So, y = 18

Hence, "18" is the correct answer.

{(15 + 9) × (15 - 9)} ⇒ 24 × 6 = 144

{(22 + 17) × (22 - 17)} ⇒ 39 × 5 = 195

Similarly,

{(18 + 12) × (18 - 12)} ⇒ 30 × 6 = 180

Hence, "180" is the correct answer.

{(a × b) - 3} = c

For first row → {(5 × 16) - 3} ⇒ 80 - 3 = 77

For second row → {(8 × 19) - 3} ⇒ 152 - 3 = 149

Similarly,

For third row → {(13 × 12) - 3} ⇒ 156 - 3 = 153

Hence, "153" is the correct answer.

From row → {(a × b + (b ÷ 2)} = c

In row 1 → {(12 × 8) + (8 ÷ 2)} ⇒ 96 + 4 = 100

In row 2 → {(18 × 6) + (6 ÷ 2)} ⇒ 108 + 3 = 111

Similarly,

In row 3 → {(15 × 4) + (4 ÷ 2)} ⇒ 60 + 2 = 62

Hence, "62" is the correct answer.

In column → {a × (b + 1)} = c

In column 1 → {7 × (3 + 1)} = 28

In column 2 → {9 × (8 + 1)} = 81

Similarly,

In column 3 → {5 × (x + 1)} = 50 ⇒ 5x + 5 = 50 ⇒ 5x = 45 ⇒ x = 9

Hence, "9" is the correct answer.

From Row → {(a × (b - 10)} = c

In first row → {15 × (14 - 10)} ⇒ 15 × 4 = 60

In Second row → {19 × (18 - 10)} ⇒ 19 × 8 = 152

Similarly,

In Third row → {23 × (17 - 10)} ⇒ 23 × 7 = 161

Hence, "23" is the correct answer.

Hence, "11" is the correct answer.