Correct Answer: (29, 23, 98)

Solution : Given:
(40, 120, 400); (18, 20, 78)

Here, (40, 120, 400)→(120 × 3) + 40 = 360 + 40 = 400
(18, 20, 78)→(20 × 3) + 18 = 60 + 18 = 78

Let's check the options –
First option: (29, 23, 98)→(23 × 3) + 29 = 69 + 29 = 98
Second option: (56, 14, 108)→(14 × 3) + 56 = 42 + 56 = 98 ≠ 108
Third option: (25, 27, 92)→(27 × 3) + 25 = 81 + 25 = 106 ≠ 92
Fourth option: (11, 720, 660)→(720 × 3) + 11 = 2160 + 11 = 2171 ≠ 660

So, only the first option follows the same pattern as followed by the given set of numbers. Hence, the first option is correct.

Correct Answer: (64, 5, 3)

Solution : Given:
(144, 9, 3); (225, 7, 8)

The square of the sum of the second and third numbers is equal to the first number –
⇒ (144, 9, 3)→(9 + 3)² = 12²; 12² = 144
⇒ (225, 7, 8)→(7 + 8)² = 15²; 15² = 225

Let's check each option –

First option: (168, 5, 8)→(5 + 8)² = 13² = 169 ≠ 168
Second option: (64, 5, 3)→(5 + 3)² = 8² = 64
Third option: (81, 6, 2)→(6 + 2)² = 8² = 64 ≠ 81
Fourth option: (120, 7, 4)→(7 + 4)² = 11² = 121 ≠ 120

So, only the second option follows the same pattern as followed by the given set of numbers. Hence, the second option is correct.

Correct Answer: (5, 37, 52)

Solution : Given:
(15, 21, 66); (9, 17, 44)

Like, (15, 21, 66)→(15 × 3) + 21 = 45 + 21 = 66
(9, 17, 44)→(9 × 3) + 17 = 27 + 17 = 44

Let's check the options –
First option: (2, 4, 12)→(2 × 3) + 4 = 6 + 4 = 10 ≠ 12
Second option: (5, 37, 52)→(5 × 3) + 37 = 15 + 37 = 52
Third option: (7, 9, 86)→(7 × 3) + 9 = 21 + 9 = 30 ≠ 86
Fourth option: (11, 13, 35)→(11 × 3) + 13 = 33 + 13 = 46 ≠ 35

So, only the second option follows the same pattern as followed by the given set of numbers. Hence, the second option is correct.

Correct Answer: (28, 51, 73)

Solution : Given:
(111, 208, 313); (36,12, 42)

Add the first and second numbers and subtract 6 from the resultant, to get the third number –
(111, 208, 313)→(111 + 208) – 6 = 319 – 6 = 313
(36,12, 42)→(36 + 12) – 6 = 48 – 6 = 42

Let's check each option –
First option: (41, 69,107)→(41 + 69) – 6 = 110 – 6 = 104 ≠ 107
Second option: (66,92,151)→(66 + 92) – 6 = 158 – 6 = 152 ≠ 151
Third option: (120, 224, 342)→(120 + 224) – 6 = 344 – 6 = 338 ≠ 342
Fourth option: (28, 51, 73)→(28 + 51) – 6 = 79 – 6 = 73

So, only the fourth option follows the same pattern as followed by the given set of numbers. Hence, the fourth option is correct. 

Correct Answer: (68, 26, 73)

Solution : Given:
(52, 10, 41); (46, 18, 50)

The pattern followed here is as follows –
(52, 10, 41)→{(52 ÷ 2) + (10 × 1.5)} = {26 + 15} = 41
(46, 18, 50)→{(46 ÷ 2) + (18 × 1.5)} = {23 + 27} = 50

Let's check the given options –
First option: (68, 26, 73)→{(68 ÷ 2) + (26 × 1.5)} = {34 + 39} = 73 
Second option: (19, 33, 69)→{(19 ÷ 2) + (33 × 1.5)} = {9.5 + 49.5} = 59 ≠ 69
Third option: (41, 17, 36)→{(41 ÷ 2) + (17 × 1.5)} = {20.5 + 25.5} = 46 ≠ 36
Fourth option: (23, 18, 40)→{(23 ÷ 2) + (18 × 1.5)} = {11.5 + 27} = 38.5 ≠ 40

So, only the first option follows the same pattern as followed by the given set of numbers. Hence, the first option is correct.

Correct Answer: (6, 100, 8)

Solution : Given:
(5, 41, 4); (2, 68, 8)

Here, (5, 41, 4)→(5)² + (4)² = 25 + 16 = 41
(2, 68, 8)→(2)² + (8)² = 4 + 64 = 68

Let's check the options –
First option: (6, 100, 8); (6)² + (8)² = 36 + 64 = 100
Second option: (5, 18, 4); (5)² + (4)² = 25 + 16 = 41 ≠ 18
Third option: (5, 100, 4); (5)² + (4)² = 25 + 16 = 41 ≠ 100
Fourth option: (4, 49, 3); (4)² + (3)² = 16 + 9 = 25 ≠ 49

So, only the first option follows the same pattern as followed by the given set of numbers. Hence, the first option is correct.

Correct Answer: (6, 9, 74)

Solution : Given:
(12, 15, 200); (10, 12, 140)

In the given sets, multiply the first and the second numbers and then add 20 to the resultant to get the third number.
(12, 15, 200)→12 × 15 = 180; 180 + 20 = 200
(10, 12, 140)→10 × 12 = 120; 120 + 20 = 140
Let's check the given options –
First option: (9, 5, 40)→9 × 5 = 45; 45 + 20 = 65 ≠ 40
Second option: (6, 9, 74)→6 × 9 = 54; 54 + 20 = 74
Third option: (2, 4, 10)→2 × 4 = 8; 8 + 20 = 28 ≠ 10
Fourth option: (7, 8, 56)→7 × 8 = 56; 56 + 20 = 76 ≠ 56

So, only the second option follows the given pattern. Hence, the second option is correct.

Correct Answer: (3, 4, 10)

Solution : Given:
(21, 5, 120) (2, 7, 8)

In the above–given set of numbers, subtract 1 from the first, add 1 to the second number, and the result of both is multiplied to obtain the third number.
⇒(21, 5, 120) = (21 – 1) × (5 + 1) = 20 × 6 = 120
⇒(2, 7, 8) = (2 – 1) × (7 + 1) = 1 × 8 = 8
Let's check each option –
First option: (3, 4, 10); (3 – 1) × (4 + 1) = 2 × 5 = 10
Second option: (3, 4, 16); (3 – 1) × (4 + 1) = 2 × 5 = 10 ≠ 16
Third option: (2, 6, 21); (2 – 1) × (6 + 1) = 1 × 7 = 7 ≠ 21
Fourth option: (4, 7, 34); (4 – 1) × (7 + 1) = 3 × 8 = 24 ≠ 34

So, only the first option follows the same pattern as followed by the given set of numbers. Hence, the first option is correct.

Correct Answer: (21, 16, 5165)

Solution : Given:
(12, 7, 1385); (19, 15, 3484)

In the given sets, subtract the cubes of the second number from the first number to get the third number.
(12, 7, 1385)→12³ – 7³ = 1728 – 343 = 1385
(19, 15, 3484)→19³ – 15³ = 6859 – 3375 = 3484
Let's check the options –
First option: (17, 15, 1550)→17³ – 15³ = 4913 – 3375 = 1538 ≠ 1550
Second option: (11, 7, 955)→11³ – 7³ = 1331 – 343 = 988 ≠ 955
Third option: (21, 16, 5165)→21³ – 16³ = 9261 – 4096 = 5165
Fourth option: (16, 14, 1321)→16³ – 14³ = 4096 – 2744 = 1352 ≠ 1321

So, only the third option follows the same pattern as followed by the given set of numbers. Hence, the third option is correct.

Correct Answer: (19, 50, 4)

Solution : Given:
(9, 69, 17); (13, 47, 7)

Here, (9, 69, 17)→(9 × 2) + (17 × 3) = 18 + 51 = 69
(13, 47, 7)→(13 × 2) + (7 × 3) = 26 + 21 = 47

Let's check the options –
First option: (13, 57, 19); (13 × 2) + (19 × 3) = 26 + 57 = 83 ≠ 57
Second option: (10, 36, 8); (10 × 2) + (8 × 3) = 20 + 24 = 44 ≠ 36
Third option: (22, 49, 9); (22 × 2) + (9 × 3) = 44 + 27 = 71 ≠ 49
Fourth option: (19, 50, 4); (19 × 2) + (4 × 3) = 38 + 12 = 50

So, only the fourth option follows the same pattern as followed by the given set of numbers. Hence, the fourth option is correct.