Correct Answer: (13, 7, 273)

Solution : Given:
(17, 12, 612); (6, 14, 252)

Multiply the product of the first and second numbers by 3, to get the third number –
(17, 12, 612)→17 × 12 × 3 = 612
(6, 14, 252)→6 × 14 × 3 = 252

Let's check the options –
First option: (3, 6, 108)→3 × 6 × 3 = 54 ≠ 108
Second option: (11, 4, 144)→11 × 4 × 3 = 132 ≠ 144
Third option: (13, 7, 273)→13 × 7 × 3 = 273
Fourth option: (2, 3, 12)→2 × 3 × 3 = 18 ≠ 12

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: (4, 1, 125)

Solution : Given:
(5, 4, 405); (7, 3, 500)

Like, (5, 4, 405)→(5 + 4)² × 5 = (9)² × 5 = 81 × 5 = 405
(7, 3, 500)→ (7 + 3)² × 5 = (10)² × 5 = 100 × 5 = 500

Let's check the options –
First option: (4, 1, 125)→(4 + 1)² × 5 = (5)² × 5 = 25 × 5 = 125
Second option: (3, 2, 145)→(3 + 2)² × 5 = (5)² × 5 = 25 × 5 = 125 ≠ 145
Third option: (4, 5, 850)→(5 + 4)² × 5 = (9)² × 5 = 81 × 5 = 405 ≠ 850
Third option:  (5, 8, 789)→(5 + 8)² × 5 = (13)² × 5 = 169 × 5 = 845 ≠ 789

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: (24, 48, 70)

Solution : Given:
(16, 32, 54); (29, 58, 80)

In the given sets, multiply the first number by 2 to get the second number and then add 22 to the second number to obtain the third number.
(16, 32, 54)→16 × 2 = 32; 32 + 22 = 54
(29, 58, 80)→29 × 2 = 58; 58 + 22 = 80
Let's check the options –
First option: (17, 35, 59)→17 × 2 = 34 ≠ 35; 35 + 22 = 57 ≠ 59
Second option: (25, 50, 62)→25 × 2 = 50; 50 + 22 = 72 ≠ 62
Third option: (24, 48, 70)→24 × 2 = 48; 48 + 22 = 70
Fourth option: (23, 46, 62)→23 × 2 = 46; 46 + 22 = 68 ≠ 62

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

Correct Answer: (22, 121, 11)

Solution : Given:
(19, 64, 11); (27, 169, 14)

Subtract the third number from the first number, and then square the resultant, to get the second number –
⇒ (19, 64, 11)→(19 – 11)² = 8² = 64
⇒ (27, 169, 14)→(27 – 14)² = 13² = 169

Let's check the options –
First option: (23, 110, 12)→(23 – 12)² = 11² = 121 ≠ 110
Second option: (20, 200, 8)→(20 – 8)² = 12² = 144 ≠ 200
Third option: (24, 99, 15)→(24 – 15)² = 9² = 81 ≠ 99
Fourth option: (22, 121, 11)→(22 – 11)² = 11² = 121

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

Correct Answer: (12, 5, 70)

Solution : Given:
(16, 9, 154); (13, 7, 101)

Multiply the first number with the second number, and add 10 to the resultant to get the third number –
⇒ (16, 9, 154)→(16 × 9) + 10 = 154
⇒ (13, 7, 101)→(13 × 7) + 10 = 101

Let's check each option –
First option: (12, 5, 70)→(12 × 5) + 10 = 70
Second option: (10, 7, 81)→(10 × 7) + 10 = 80 ≠ 81
Third option: (15, 6, 110)→(15 × 6) + 10 = 100 ≠ 110
Fourth option: (11, 8, 99)→(11 × 8) + 10 = 98 ≠ 99

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

Correct Answer: (6, 17, 30)

Solution : Given:
(14, 25, 38); (8, 19, 32)

The logic here is→(The second number – The first number) = 11; (The third number – The second number) = 13
(14, 25, 38)→25 – 14 = 11; 38 – 25 = 13
(8, 19, 32)→19 – 8 = 11; 32 – 19 = 13

Let's check the options –
First option: (24, 35, 46)→35 – 24 = 11; 46 – 35 = 11 ≠ 13
Second option: (6, 17, 30)→17 – 6 = 11; 30 – 17 = 13
Third option: (15, 28, 41)→28 – 15 = 13 ≠ 11; 41 – 28 = 13
Fourth option: (13, 26, 37)→26 – 13 = 13 ≠ 11; 37 – 26 = 11 ≠ 13

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

Correct Answer: Functional structure

Solution : Functional structure describes the organisational structure of Roasted Coffee Corporation. By implementing functional structure, Roasted Coffee Corporation would also gain the following three benefits:
a) Occupational specialisation, when the focus is on particular functions.
b) Within a department, control and coordination are necessary due to the similarity of the duties being carried out.
c) Different tasks would receive the proper attention.
Hence, the correct option is 1.

Correct Answer: (27, 33, 40)

Solution : Given:
(82, 35, 78); (18, 27, 30)

In the given sets, divide the sum of the first two numbers by 3 and then multiply by 2 to get the third number.
(82, 35, 78)→{(82 + 35) ÷ 3} × 2 = {117 ÷ 3} × 2 = 39 × 2 = 78
(18, 27, 30)→{(18 + 27) ÷ 3} × 2 = {45 ÷ 3} × 2 = 15 × 2 = 30
Let's check the given options –
First option: (21, 27, 24)→{(21 + 27) ÷ 3} × 2 = {48 ÷ 3} × 2 = 16 × 2 = 32 ≠ 24
Second option: (15, 36, 38)→{(15 + 36) ÷ 3} × 2 = {51 ÷ 3} × 2 = 17 × 2 = 34 ≠ 38
Third option: (27, 33, 40)→{(27 + 33) ÷ 3} × 2 = {60 ÷ 3} × 2 = 20 × 2 = 40
Fourth option: (20, 25, 32)→{(20 + 25) ÷ 3} × 2 = {45 ÷ 3} × 2 = 15 × 2 = 30 ≠ 32

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: Time Study

Solution : The correct answer is (a) Time Study.

Time study is a technique used in scientific management to analyze and measure the amount of time required to perform a specific task or job. By conducting a time study, an organization can establish performance standards based on the observed times for each task, which helps in optimizing productivity and efficiency by setting achievable goals and improving workflow processes.

Correct Answer: (21, 33, 54)

Solution : Given:
(17, 29, 46); (24, 36, 60)

Here, (17, 29, 46)→17 + 29 = 46
(24, 36, 60)→24 + 36 = 60

Let's check the options –
First option: (36, 46, 81)→36 + 46 = 82 ≠ 81
Second option: (29, 41, 64)→29 + 41 = 70 ≠ 64
Third option: (21, 33, 54)→21 + 33 = 54
Fourth option: (48, 52, 98)→48 + 52 = 100 ≠ 98

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