Missing Number (Varieties Questions)

{(1^st number × 14) + (2^nd number + 1)} = 3^rd number [{14a + (b +1)} - 2] = c

In 1^st row : (6, 39, 124)

⇒ {(6 × 14) + (39 + 1)} ⇒ (84 + 40) = 34

In 3^rd row : (11, 74, 229)

⇒ {(6 × 14) + (39 + 1)} ⇒ (84 + 40) = 34

Similarly,

In 2^nd row : (8, 53, ?)

⇒ {(8 × 14) + (53 + 1)} ⇒ (112 + 54) = 166

Hence, "166" is the correct answer.

[{(1^st number + 2^nd number) ÷ 5} × 3] = 3^rd number [{a + b) ÷ 5} × 3] = c

For 1^st Row : (73, 52, 75)

⇒ [{(73 + 52) ÷ 5} × 3] ⇒ {(125 ÷ 5) × 3} ⇒ (25 × 3) = 75

For 2^nd Row : (64, 41, 63)

⇒ [{(64 + 41) ÷ 5} × 3] ⇒ {(105 ÷ 5) × 3} ⇒ (21 × 3) = 63

Similarly,

For 3^rd Row : (68, 47, ?)

⇒ [{(68 + 47) ÷ 5} × 3] ⇒ {(115 ÷ 5) × 3} ⇒ (23 × 3) = 69

Hence, "69" is the correct answer.

{(1^st number + 3^rd number) × (1^st number - 3^rd number)} = 2^nd number [{a + c) × (a - c)] = b

For 1^st Row : (15, 81, 12)

⇒ {(15 + 12) × (15 - 12)} ⇒ (27 × 3} = 81

For 2^nd Row : (18, 99, 15)

⇒ {(18 + 15) × (18 - 15)} ⇒ (33 × 3} = 99

Similarly,

For 3^rd Row : (17, 120, ?)

⇒ {(17 + x) × (17 - x)} = 120

⇒ (17² - x²) = 120 [ (a + b)(a - b) = a² - b² ]

⇒ 289 - x² = 120

⇒ x² = 289 - 120

⇒ x² = 169

⇒ √x² = √169

⇒ x = 13

Hence, "13" is the correct answer.

Hence, "21" is the correct answer.

{(1^st number + 2^nd number) × 2} + 2^nd number = 3^rd number. [{(a + b) × 2} + b] = c

For 1^st Row : (25, 24, 122)

⇒ [{(25 + 24) × 2} + 24] ⇒ {(49 × 2) + 24} = 122

For 2^nd Row : (31, 27, 143)

⇒ [{(31 + 27) × 2} + 27] ⇒ {(58 × 2) + 27} = 143

Similarly,

For 3^rd Row : (35, 29, ?)

⇒ [{(35 + 29) × 2} + 29] ⇒ {(64 × 2) + 29} = 157

Hence, "157" is the correct answer.

(1^st number × 2^nd number) + (difference of both numbers) = 3^rd number

In 1^st row : (6, 12, 78)

⇒ (6 × 12) + (12 - 6) ⇒ (72 + 6) = 78

In 2^nd row : (6, 15, 99)

⇒ (6 × 15) + (15 - 6) ⇒ (90 + 9) = 99

Similarly,

In 3^rd row : (3, 13, ?)

⇒ (3 × 13) + (13 - 3) ⇒ (39 + 10) = 49

Hence, "49" is the correct answer.

{2^nd number - (1^st number ÷ 2) + product of digit of 1^st number} = 3^rd number

In 1^st row : (14, 16, 13)

⇒ 16 - (14 ÷ 2) + (1 × 4) ⇒ 16 - 7 + 4 = 13

In 3^rd row : (12, 21, 17)

⇒ 21 - (12 ÷ 2) + (1 × 2) ⇒ 21 - 6 + 2 = 17

Similarly,

In 2^nd row : (18, 6, ?)

⇒ 6 - (18 ÷ 2) + (1 × 8) ⇒ 6 - 9 + 8 = 5

Hence, "5" is the correct answer.

In each row, Sum of digits of first two number is equal to the third.

In first row : (4507, 7077, 37)

⇒ ( 4 + 5 + 0 + 7 ) +  ( 7+ 0 + 7 + 7 ) = 37

In second row : (2503, 3067, 26)

⇒ (2 + 5 + 0 + 3) + (3 + 0 + 6 + 7) = 26

In third row : (3307, 4061, ?)

⇒ (3 + 3 + 0 + 7) + (4 + 0 + 6 + 1) = 24

Hence, "24" is the correct answer.

(2^nd number)² - (1^st number)² = 3^rd number

In first row : (14, 16, 60)

⇒ (16² - 14²) ⇒ (256 - 196) = 60

In third row : (15, 18, 99)

⇒ (18² - 15²) ⇒ (324 - 225) = 99

Similarly,

In second row : (11, 17, 168)

⇒ (17² - 11²) ⇒ (289 - 121) = 168

Hence, "168" is the correct answer.

4 + 5 = 9 & 9 × 2 = 18

9 + 2 = 11 & 11 × 2 = 22

Similarly,

3 + 5 = 8 & 8 × 2 = 16

Hence, "16" is the correct answer.