Correct Answer: (10, 100, 10)

Solution : Given:
(12, 60, 5); (14, 56, 4)

Multiply the first number by the third number to get the second number –
⇒ (12, 60, 5)→(12 × 5 ) = 60
⇒ (14, 56, 4)→(14 × 4 ) = 56

Let's check each option –
First option: (7, 70, 8)→(7 × 8) = 56 ≠ 70
Second option: (20, 5, 7)→(20 × 7) = 140 ≠ 5
Third option: (10, 100, 10)→(10 × 10) = 100 
Fourth option: (4, 20, 8)→(4 × 8) = 32 ≠ 20

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: (5, 35, 660)

Solution : Given:
(3, 11, 92); (4, 8, 264)

The pattern is as follows –
(3, 11, 92)→(3)⁴ + 11 = 81 + 11 = 92
(4, 8, 264)→(4)⁴ + 8 = 256 + 8 = 264

Let's check the options –
First option: (2, 32, 50)→(2)⁴ + 32 = 16 + 32 = 48 ≠ 50
Second option: (7, 13, 2401)→(7)⁴ + 13 = 2401 + 13 = 2414 ≠ 2401
Third option: (5, 35, 660)→(5)⁴ + 35 = 625 + 35 = 660
Fourth option: (6, 12, 676)→(6)⁴ + 12 = 1296 + 12 = 1308 ≠ 676

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: (486, 32, 538)

Solution : Given:
(392, 29, 449); (395, 31, 566)

The pattern is as follows –
(392, 29, 449)→29² – 392 = 841 – 392 = 449
(395, 31, 566)→31² – 395 = 961 – 395 = 566
Let's check each option –
First option: (486, 32, 538); 32² – 486 = 1024 – 486 = 538
Second option: (391, 45, 834); 45² – 391 = 2025 – 391 = 1634 ≠ 834
Third option: (487, 34, 809); 34² – 487 = 1156 – 487 = 669 ≠ 809
Fourth option: (562, 35, 594); 35² – 562 = 1225 – 562 = 663 ≠ 594

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: (512, 64, 8)

Solution : Given:
(27, 9, 3); (125, 25, 5)

Divide the first number by the second number, to get the third number –
(27, 9, 3)→27 ÷ 9 = 3
(125, 25, 5)→125 ÷ 25 = 25

Let's check the given options –
First option: (512, 64, 8)→512 ÷ 64 = 8
Second option: (243, 49, 7)→243 ÷ 49 = 4.95 ≠ 7
Third option: (739, 81, 9)→739 ÷ 81 = 9.12 ≠ 9
Fourth option: (206, 36, 6)→206 ÷ 36 = 5.72 ≠ 6

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

Correct Answer: (36, 14, 35)

Solution : Given: 
(21, 33, 31)
(42, 17, 26)

Adding all the numbers in the set –
⇒ (21, 33, 31)→21+ 33 + 31 = 85
⇒ (42, 17, 26)→42 + 17 + 26 = 85

Let's check the options –
First option: (36, 14, 35)→36 + 14 + 35 = 85 = 85
Second option: (46, 19, 24)→46 + 19 + 24 = 89 ≠ 85
Third option: (35, 27, 29)→35 + 27 + 29 = 91 ≠ 85
Fourth option: (32, 39, 20)→32+ 39 + 20 = 91 ≠ 85

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: (4, 26, 416)

Solution : Given:
(6, 17, 408); (13, 27, 1404)

Multiply the first and the second numbers and then multiply the resultant by four to get the third number of the triad.
(6, 17, 408)→6 × 17 = 102; 102 × 4 = 408
(13, 27, 1404)→13 × 27 = 351; 351 × 4 = 1404

Let's check each option –
First option: (9, 27, 245)→9 × 27 = 243; 243 × 4 = 972 ≠ 245
Second option: (17, 28, 952)→17 × 28 = 476; 476 × 4 = 1904 ≠ 952
Third option: (5, 82, 1200)→5 × 82 = 410; 410 × 4 = 1640 ≠ 1200
Fourth option: (4, 26, 416)→4 × 26 = 104; 104 × 4 = 416

So, only the fourth option follows the same pattern as the given sets. Hence, the fourth option is correct.

Correct Answer: (5, 8, 19)

Solution : Given:
(7, 12, 25); (6, 9, 21)

The logic here is – (The first number + The second number + 6) = The third number
(7, 12, 25)→7 + 12 + 6 = 19 + 6 = 25
(6, 9, 21)→6 + 9 + 6 = 15 + 6 = 21

Let's check the options –
First option: (9, 13, 24)→9 + 13 + 6 = 22 + 6 = 28 ≠ 24
Second option: (5, 8, 19)→5 + 8 + 6 = 13 + 6 = 19
Third option: (8, 14, 24)→8 + 14 + 6 = 22 + 6 = 28 ≠ 24
Fourth option: (4, 11, 20)→4 + 11 + 6 = 15 + 6 = 21 ≠ 20

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

Correct Answer: Marketing mix
 

Solution : Marketing mix refers to a set of marketing tools that a form used to pursue marketing objectives in a target market. Elements of marketing mix includes product price place and promotion.

Hence, option B is correct.

Correct Answer: abbab

Solution : Given:

_ _ aba _ _ ba _ ab

We have to check the order of the letters in the given series.

To fill the series we have to divide the series, _ _ a / ba _ / _ ba / _ ab.

So, the series becomes aba / bab / aba / bab.

Hence, first option is correct.

Correct Answer: It made it binding for the Government of India to set up a nodal ministry to ensure the effective implementation of these provisions under Article 75.

Solution : The correct answer is It made it binding for the Government of India to set up a nodal ministry to ensure the effective implementation of these provisions under Article 75.

The 86th Amendment Act of the Constitution was introduced in 2002, and it states that the state shall provide free and compulsory education to all children of the age of 6 to 14 years in the manner as determined by the state.

All the options are correct except the option that talks about Article 75, and the 86th Amendment Act of 2002 is not related to Article 75; it talks about the appointment of the Prime Minister and the other Council of Ministers.