Correct Answer: (236, 118, 356)

Solution : Given:
(168, 122, 290)

Add the first two terms to obtain the third term in the given set of numbers –
⇒ (168, 122, 290)→168 + 122 = 290

Let's check the options –

First option: (198, 112, 310)→198 + 112 = 310
Second option: (226, 148, 374)→226 + 148 = 374
Third option: (236, 118, 356)→236 + 118 = 354 ≠ 356
Fourth option: (126, 132, 258)→126 + 132 = 258

So, only the third option doesn't follow the same pattern as followed by the given set of numbers. Hence, the third option is correct. 

Correct Answer: Lodge a complaint with the District Consumer Disputes Redressal Forum.

Solution : The correct answer is (b) Lodge a complaint with the District Consumer Disputes Redressal Forum.

In this situation, where the consumer purchased a set of expensive speakers that stopped functioning shortly after purchase and the store refused a replacement based on a policy, the consumer can typically lodge a complaint with the District Consumer Disputes Redressal Forum. These forums handle consumer complaints and disputes, and they can help in resolving issues related to defective or non-functional products. It's important for consumers to be aware of their rights and pursue a resolution through the appropriate consumer forum.

Correct Answer: (56, 50, 6)

Solution : Given:
(32, 24, 8); (48, 42, 6)

The pattern is –
(32, 24, 8)→32 – 24 = 8
(48, 42, 6)→48 – 42 = 6

Let's check each option –
First option: (64, 62, 8) = 64 – 62 = 2 ≠ 8
Second option: (56, 50, 6) = 56 – 50 = 6
Third option: (16, 14, 4) = 16 – 14 = 2 ≠ 4
Fourth option: (18, 12, 4) = 18 – 12 = 6 ≠ 4

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

Correct Answer: (36, 15, 17)

Solution : Given:
(27, 21, 16); (24, 33, 19)

Add the first two numbers, and then divide the resultant by 3, to get the third number –
⇒ (27, 21, 16)→(27 + 21) ÷ 3 = 48 ÷ 3 = 16
⇒ (24, 33, 19)→(24 + 33) ÷ 3 = 57 ÷ 3 = 19

Let's check each option –
First option: (25, 21, 13)→(25 + 21) ÷ 3 = 46 ÷ 3 = 15.34 ≠ 13
Second option: (36, 15, 17)→(36 + 15) ÷ 3 = 51 ÷ 3 = 17
Third option: (42, 18, 21)→(42 + 18) ÷ 3 = 60 ÷ 3 = 20 ≠ 21
Fourth option: (32, 14, 7)→(32 + 14) ÷ 3 = 46 ÷ 3 = 15.34 ≠ 7

So, only the second option follows the same pattern as the given number pair. Hence, the second option is correct.

Correct Answer: (18, 94, 5)

Solution : Given:
(12, 112, 9); (10, 84, 8)

Here, (12, 112, 9)→(12 × 9) + 4 = 108 + 4 = 112
(10, 84, 8)→(10 × 8) + 4 = 80 + 4 = 84

Let's check the options –
First option: (12, 149, 12)→(12 × 12) + 4 = 144 + 4 = 148 ≠ 149
Second option: (13, 55, 4)→(13 × 4) + 4 = 52 + 4 = 56 ≠ 55
Third option: (11, 99, 9)→( 11 × 9) + 4 = 99 + 4 = 103 ≠ 99
Fourth option: (18, 94, 5)→(18 × 5) + 4 = 90 + 4 = 94

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: (15, 162, 3)

Solution : Given:
(4, 50, 6); (13, 128, 3)

Here, (4, 50, 6)→(4 + 6)² = 100; 100 ÷ 2 = 50
(13, 128, 3)→(13 + 3)² = 256; 256 ÷ 2 = 128

Let's check each option –
First option: (12, 60, 5)→(12 + 5)² = 289; 289 ÷ 2 = 144.5 ≠ 60
Second option: (2, 125, 3)→(2 + 3)² = 25; 25 ÷ 2 = 12.5 ≠ 125
Third option: (2, 62, 6)→(2 + 6)² = 64; 64 ÷ 2 = 32 ≠ 62
Fourth option: (15, 162, 3)→(15 + 3)² = 324; 324 ÷ 2 = 162

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

Correct Answer: ccac

Solution : Given:
cc_b_c_ba_ab

To fill the series we have to divide the series – cc_b / _c_b / a_ab
Let's check each option –
First option: ccac; cccb / ccab / acab
Second option: cbaa; cccb / bcab / aaab
Third option: aabb; ccab / acbb / abab
Fourth option: cdab; cccb / dcab / abab

So, the series becomes → cccbccabacab. Hence, the first option is correct.

Correct Answer: (14, 33, 9)

Solution : Given:
(13, 18, 21); (11, 25, 8)

Like, (13, 18, 21)→(18 + 21) ÷ 3 = 39 ÷ 3 = 13
(11, 25, 8)→(25 + 8) ÷ 3 = 33 ÷ 3 = 11

Let's check the options –
First option: (6, 10, 12)→(10 + 12) ÷ 3 = 22 ÷ 3 = 7.33 ≠ 6
Second option: (4, 12, 24)→(12 + 24) ÷ 3 = 36 ÷ 3 = 12 ≠ 4
Third option: (8, 16, 23)→(16 + 23) ÷ 3 = 39 ÷ 3 = 13 ≠ 8
Fourth option: (14, 33, 9)→(33 + 9) ÷ 3 = 42 ÷ 3 = 14

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: (86 – 36 – 100)

Solution : Given:
(56 – 26 – 60); (19 – 8 – 22)

Here, (56 – 26 – 60)→56 – 26 = 30; 30 × 2 = 60
(19 – 8 – 22)→19 – 8 = 11; 11 × 2 = 22

Let's check the options –
First option: (60 – 18 – 21)→60 – 18 = 42; 42 × 2 = 84 ≠ 21
Second option: (35 – 16 – 18)→35 – 16 = 19; 19 × 2 = 38 ≠ 18
Third option: (86 – 36 – 100)→86 – 36 = 50; 50 × 2 = 100
Fourth option: (22 – 5 – 23)→22 – 5 = 17; 17 × 2 = 34 ≠ 23

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: (24, 4, 3)

Solution : Given:
(60, 5, 6); (48, 8, 3)

Divide the first number by the third number, and then divide the resultant by 2 to find the second number.
Like, (60, 5, 6)→60 ÷ 6 = 10; 10 ÷ 2 = 5
And, (48, 8, 3)→48 ÷ 3 = 16; 16 ÷ 2 = 8

Let's check each option –
First option: (17, 3, 4)→17 ÷ 4 = 4.25; 4.25 ÷ 2 = 2.125 ≠ 3
Second option: (25, 4, 6)→25 ÷ 6 = 4.17; 4.17 ÷ 2 = 2.08 ≠ 4
Third option: (24, 4, 3)→24 ÷ 3 = 8; 8 ÷ 2 = 4
Fourth option: (25, 4, 3)→25 ÷ 3 = 8.33; 8.33 ÷ 2 = 4.16 ≠ 4

So, only the third option follows the pattern followed by the given sets. Hence, the third option is correct.