Correct Answer: (3, 5, 32)

Solution : Given:
(2, 4, 18); (1, 9, 50)

Here, (2, 4,18)→2 + 4 = 6; 6 ÷ 2 = 3; 6 × 3 = 18
(1, 9, 50)→1 + 9 = 10; 10 ÷ 2 = 5; 10 × 5 = 50

Let's check each option –
First option: (3, 5, 32)→3 + 5 = 8; 8 ÷ 2 = 4; 8 × 4 = 32
Second option: (2, 5, 49)→2 + 5 = 7; 7 ÷ 2 = 3.5; 7 × 3.5 = 24.5 ≠ 49
Third option: (6, 4, 10)→6 + 4 = 10; 10 ÷ 2 = 5; 10 × 5 = 50 ≠ 10
Fourth option: (5, 4, 18)→5 + 4 = 9; 9 ÷ 2 = 4.5; 9 × 4.5 = 40.5 ≠ 18

So, only the first option follows the pattern as shown in the given sets. Hence, the first option is correct.

Correct Answer: (169, 180, 360)

Solution : Given:
(133, 144, 288)
(127, 138, 276)

Add 11 to the first number, to get the second number, and multiply the second number by 2, to get the third number.
(133, 144, 288)→133 + 11 = 144; 144 × 2 = 288
(127, 138, 276)→127 + 11 = 138; 138 × 2 = 276

Let's check the options,
First option: (169, 180, 360)→169 + 11 = 180; 180 × 2 = 360
Second option: (143, 156, 312)→143 + 11 = 154 ≠ 156; 156 × 2 = 312
Third option: (157, 168, 326)→157 + 11 = 168; 168 × 2 = 336 ≠ 326
Fourth option: (117, 128, 266)→117 + 11 = 128; 128 × 2 = 256 ≠ 266

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

Correct Answer: (78, 54, 44)

Solution : Given:
(56, 22, 26); (34, 20, 18)

Here, (56, 22, 26)→(56 + 22) ÷ 3 = 78 ÷ 3 = 26
(34, 20, 18)→(34 + 20) ÷ 3 = 54 ÷ 3 = 18

Let's check the options –
First option: (78, 54, 44)→(78 + 54) ÷ 3 = 132 ÷ 3 = 44
Second option: (23, 8, 10)→(23 + 8) ÷ 3 = 31 ÷ 3 = 10.33 ≠ 10
Third option: (58, 16, 21)→(58 + 16) ÷ 3 = 74 ÷ 3 = 24.67 ≠ 21
Fourth option: (45, 12, 33)→(45 + 12) ÷ 3 = 57 ÷ 3 = 19 ≠ 33

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: 1990

Solution : The correct option is 1990.

The Small Industries Development Bank of India (SIDBI) was set up on April 2, 1990. It is a financial institution in India that serves as the principal financial institution for the promotion, financing and development of small-scale industries.

Correct Answer: (8, 3, 123)

Solution : Given:
(4, 5, 83); (5, 5, 102)

In the given sets, add the first and second numbers, then find the square of the resultant and add 2 to it, to obtain the third number.
(4, 5, 83)→4 + 5 = 9; (9)² = 81; 81 + 2 = 83
(5, 5, 102)→5 + 5 = 10; (10)² = 100; 100 + 2 = 102
Now, let's check the options –
First option: (8, 9, 330)→8 + 9 = 17; (17)² = 289; 289 + 2 = 291 ≠ 330
Second option: (3, 3, 11)→3 + 3 = 6; (6)² = 36; 36 + 2 = 38 ≠ 11
Third option: (7, 6, 170)→7 + 6 = 13; (13)² = 169; 169 + 2 = 171 ≠ 170
Fourth option: (8, 3, 123)→8 + 3 = 11; (11)² = 121; 121 + 2 = 123

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: (11, 21, 40)

Solution : Given:
(19, 37, 72); (15, 29, 56)

The first number is multiplied by 2 and from the resultant subtract 1, to get the second number and the second number is multiplied by 2 and from the resultant subtract 2, to get the third number –
(19, 37, 72)→19 × 2 – 1 = 37; 37 × 2 – 2 = 72
(15, 29, 56)→15 × 2 – 1 = 29; 29 × 2 – 2 = 56

Let's check each option –
First option: (11, 21, 40)→11 × 2 – 1 = 21; 21 × 2 – 2 = 40
Second option: (16, 30, 62)→16 × 2 – 1 = 31 ≠ 30; 30 × 2 – 2 = 58 ≠ 62
Third option: (18, 35, 69)→18 × 2 – 1 = 35; 35 × 2 – 2 = 68 ≠ 69
Fourth option: (12, 25, 50)→12 × 2 – 1 = 23 ≠ 25; 25 × 2 – 2 = 48 ≠ 50

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

Correct Answer: (9, 10, 180)

Solution : Given:
(7, 4, 56); (8, 3, 48)

Here, (7, 4, 56)→(7 × 4) × 2 = 28 × 2 = 56
(8, 3, 48)→(8 × 3) × 2 = 24 × 2 = 48

Let's check the options –
First option: (90, 3, 400)→(90 × 3) × 2 = 270 × 2 = 540 ≠ 400
Second option: (87, 4, 128)→(87 × 4) × 2 = 348 × 2 = 696 ≠ 128
Third option: (96, 42, 12)→(96 × 42) × 2 = 4032 × 2 = 8064 ≠ 12
Fourth option: (9, 10, 180)→(9 × 10) × 2 = 90 × 2 = 180

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: Micro Units Development & Refinance Agency

Solution : The correct answer is Micro Units Development & Refinance Agency.

MUDRA stands for "Micro Unit Development and Refinance Agency." It is a financial institution established by the Government of India to support the development and refinancing of microenterprises, particularly those belonging to the non-corporate and non-farm sectors. MUDRA provides financial assistance and support to small businesses and entrepreneurs to help them grow and prosper.

Correct Answer: (73, 38, 111)

Solution : Given:
(51, 34, 85); (67, 42, 109)

Add the first and second numbers, to get the third number –
(51, 34, 85)→51 + 34 = 85
(67, 42, 109)→67 + 42 = 109

Let's check the options –
First option: (69, 44, 102)→69 + 44 = 113 ≠ 102
Second option: (56, 31, 77)→56 + 31 = 87 ≠ 77
Third option: (78, 51, 119)→78 + 51 = 129 ≠ 119
Fourth option: (73, 38, 111)→73 + 38 = 111

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

Correct Answer: (iii)-(i)-(ii)

Solution : The correct answer is (iii)-(i)-(ii).

The correct chronological order of the Development Financial Institutions (DFIs) in India, according to the year they were set up, is as follows:

1. Industrial Finance Corporation of India (IFCI): IFCI was established in 1948.
2. Industrial Credit and Investment Corporation of India (ICICI): ICICI was founded in 1955.
3. Industrial Development Bank of India (IDBI): IDBI was established in 1964.

So, the correct order is IFCI, ICICI, and then IDBI.