Correct Answer: (12, 24, 8)

Solution : Given:
(8, 12, 6); (9, 18, 8)

In the above-given sets, the pattern followed is as follows –
(8, 12, 6)→8 × 6 = 48; 48 ÷ 4 = 12
(9, 18, 8)→9 × 8 = 72; 72 ÷ 4 = 18
Now, let's check the given options –
First option: (4, 12, 6)→4 × 6 = 24; 24 ÷ 4 = 6 ≠ 12
Second option: (12, 24, 8)→12 × 8 = 96; 96 ÷ 4 = 24
Third option: (7, 24, 4)→7 × 4 = 28; 28 ÷ 4 = 7 ≠ 24
Fourth option: (9, 10, 11)→9 × 11 = 99; 99 ÷ 4 = 24.75 ≠ 10

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: 60 years

Solution : The correct answer is (c) 60 years

The retirement age of government employees can vary slightly depending on the specific rules and regulations of different government departments or services. However, the standard retirement age for most government employees in India is 60 years. This applies to employees in various sectors such as central government, state government, public sector undertakings, and autonomous bodies. It's important to note that there may be exceptions or variations in retirement age for certain positions or categories of employees.

Correct Answer: (11, 36, 5)

Solution : Given:
(9, 16, 5); (7, 9, 4)

Here, (9, 16, 5)→(9 – 5)² = (4)² = 16
(7, 9, 4)→(7 – 4)² = (3)² = 9

Let's check the options –
First option: (14, 64, 7)→(14 – 7)² = (7)² = 49 ≠ 64
Second option: (14, 100, 5)→(14 – 5)² = (9)² = 81 ≠ 100
Third option: (11, 36, 5)→(11 – 5)² = (6)² = 36
Fourth option: (12, 66, 4)→(12 – 4)² = (8)² = 64 ≠ 66

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, 31, 3)

Solution : Given:
(2, 28, 4); (3, 22, 2)

The logic here is – (The first number × 4) + (The third number × 5) = The second number
(2, 28, 4)→(2 × 4) + (4 × 5) = 8 + 20 = 28
(3, 22, 2)→(3 × 4) + (2 × 5) = 12 + 10 = 22

Let's check the options –
First option: (6, 29, 3)→(6 × 4) + (3 × 5) = 24 + 15 = 39 ≠ 29
Second option: (1, 10, 5)→(1 × 4) + (5 × 5) = 4 + 25 = 29 ≠ 10
Third option: (7, 32, 2)→(7 × 4) + (2 × 5) = 28 + 10 = 38 ≠ 32
Fourth option: (4, 31, 3)→(4 × 4) + (3 × 5) = 16 + 15 = 31

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

Correct Answer: (11, 5, 111)

Solution : Given:
(7, 3, 43); (5, 2, 21)

Here, (7, 3, 43)→((7 × 3) × 2) + 1 = (21 × 2) + 1 = 42 + 1 = 43
(5, 2, 21)→((5 × 2) × 2) + 1 = (10 × 2) + 1 = 20 + 1 = 21

Let's check the given options –
First option: (11, 5, 111)→((11 × 5) × 2) + 1 = (55 × 2) + 1 = 110 + 1 = 111
Second option: (15, 6, 34)→((15 × 6) × 2) + 1 = (90 × 2) + 1 = 180 + 1 = 181 ≠ 34
Third option: (13, 23, 131)→((13 × 23) × 2) + 1 = (299 × 2) + 1 = 598 + 1 = 599 ≠ 131
Fourth option: (12, 3, 43)→((12 × 3) × 2) + 1 = (36 × 2) + 1 = 72 + 1 = 73 ≠ 43

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: (12, 3, 39)

Solution : Given:
(3, 9, 30); (10, 3, 33)

In the given sets, multiply the first and second numbers and then add 3 to the resultant to get the third number.
(3, 9, 30)→(3 × 9) + 3 = 27 + 3 = 30
(10, 3, 33)→(10 × 3) + 3 = 30 + 3 = 3
Let's check the options –
First option: (6, 9, 40)→(6 × 9) + 3 = 54 + 3 = 57 ≠ 40
Second option: (8, 8, 74)→(8 × 8) + 3 = 64 + 3 = 67 ≠ 74
Third option: (12, 3, 39)→(12 × 3) + 3 = 36 + 3 = 39
Fourth option: (9, 7, 98)→(9 × 7) + 3 = 63 + 3 = 66 ≠ 98

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: Maharashtra

Solution : The correct answer is Maharashtra.

In Maharashtra village, a pillar honouring Polish fugitives from World War II was unveiled. Between 1942 and 1948, almost 5,000 Polish refugees resided at Valivade, 235 miles from Pune, while their nation was destroyed by invading troops.

Correct Answer: (4, 15, 3439)

Solution : Given:
(2, 3, 35); (11, 6, 1547)

In the given set of numbers, the sum of the cube of the first and second numbers is equal to the third number –
(2, 3, 35)→(2³ + 3³) = 8 + 27 = 35
(11, 6, 1547)→(11³ + 6³) = 1331 + 216 = 1547

Let's check each option –
First option: (4, 15, 3439)→(4³ + 15³) = 64 + 3375 = 3439 
Second option: (10, 9, 1730)→(10³ + 9³) = 1000 + 729 = 1729 ≠ 1730
Third option: (7, 8, 2565)→(7³ + 8³) = 343 + 512 = 855 ≠ 2565
Fourth option: (3, 12, 1296)→(3³ + 12³) = 27 + 1728 = 1755 ≠ 1296

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: (99, 121, 9)

Solution : Given:
(63, 81, 7); (84, 49, 12)

Here, the pattern followed is as follows –
(63, 81, 7)→63 ÷ 7 = 9; 9² = 81
(84, 49, 12)→84 ÷ 12 = 7; 7² = 49
Let's check the options –
First option: (99, 121, 9)→99 ÷ 9 = 11; 11² = 121
Second option: (76, 234, 12)→76 ÷ 12 = 6.3; (6.3)² = 39.69 ≠ 234
Third option: (12, 125, 56)→12 ÷ 56 = 0.21; (0.21)² = 0.0441 ≠ 125
Fourth option: (78, 14, 56)→78 ÷ 56 = 1.39; (1.39)² = 1.9321 ≠ 14

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: Payment and Settlement Systems Act, 2007

Solution : The correct option is the Payment and Settlement Systems Act, of 2007.

The Payment and Settlement Systems Act of 2007 provides the legal framework for the regulation and supervision of payment systems in India. It empowers the Reserve Bank of India (RBI) to regulate and oversee payment and settlement systems in the country.

The NPCI operates under the regulatory framework established by the RBI, but its specific establishment is governed by the Companies Act.