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All the given options are the ranks of the defense.

All the ranks are related to Indian Air Force except, Sub Lieutenant.

Sub Lieutenant is related to Indian Navy.

Hence, Sub Lieutenant is the odd one.

In the given question, 

All are mammals except for Hawk.

Therefore, Option 3 is the correct answer.

All three pairs are same as:

Country : Capital

1) Chile : Santiago

2) China : Beijing

3) Egypt : Cairo

But only the pair England : Mexico is different, both are country.

Hence, England: Mexico is the correct answer.

The sounds of each animal is listed below:

Clearly, Scream is not the sound made by Donkey.

Hence, ‘donkey’ is the odd one out. 

Dollar → Dollar is the currency of USA.

Rupee → Rupee is the currency of India.

Yen → Yen is the currency of Japan.

Taka → Taka is the currency of Bangladesh.

Clearly, currency is the option that best describes the given units.

Hence, ‘Currency’ is the correct answer.

India, Bhutan and Sri Lanka are members of SAARC. Whereas, China is not a member of SAARC.

The logic follows here is :

The second word is the Currency of the first word (Country).

Bangladesh : Bangladeshi Rupee doesn't follow the logic.

Hence, the correct answer is "Bangladesh : Bangladeshi Rupee".

The logic is:

China is a country in the continent of Asia.

Similarly,

Nepal  is a country in the continent of Asia.

Hence, ‘Asia’ is the correct answer.   

The logic is:

1) Stag → A male deer is called stag.

2) Larva → A larva is the young stage of some insects.

3) Nymph → A nymph is the young stage of some kinds of invertebrates, especially insects.

4) Foal → The young one of a horse is called a foal.

So, all options except ‘stag’ refers to young ones of animals or insects.

Hence, Stag is the odd one out.

The pattern followed here is:

The difference between each digit is 1.

Option 1:

9876

9 - 8 = 1

8 - 7 = 1

7 - 6 = 1

Option 2:

8765

8 - 7 = 1

7 - 6 = 1

6 - 5 = 1

Option 3:

5432

5 - 4 = 1

4 - 3 = 1

3 - 2 = 1

Option 4:

7653

7 - 6 = 1

6 - 5 = 1

5 - 3 = 2

Here, Option 4 is not satisfying the condition.

Hence, the correct answer is "7653".

Prime Number: A number that is divisible by '1' and itself.

157, 167, and 137 are prime numbers.

Whereas,

177 is not a prime number.

Hence, '177' is a different number.

The logic is:

50 : 357 → 50 : (50 × 7) + 7

Similarly,

1) 18 : 133 → 18 : (18 × 7) + 7 = 133

2) 15 : 115 → 15 : (15 × 7) + 7 ≠ 115

3) 17 : 136 → 17 : (17 × 7) + 7 ≠ 136

4) 20 : 153 → 20 : (20 × 7) + 7 ≠ 153

Hence, 18 : 133 is the correct answer.

Prime Number : A number that is divisible by '1' and itself.

41, 47 and 43 are prime numbers.

Whereas,

49 is not a prime number.

Hence, '49' is a different number.

The logic is:

132 : 12 → (12 – 1) × 12 : 12

Similarly,

182 : 14 → (14 – 1) × 14 : 14

Hence, ‘182 : 14’ is the correct answer.

The pattern followed is:

Option 1 → 3¹ - 3² - 3³ → 3 - 9 - 27

Option 2 → 6¹ - 6² - 6³ → 6- 36 - 216

Option 3 → 8¹ - 8² - 8³ → 8 - 64 - 512

Option 4 → 7¹ - 7² - 7³,  7³ = 343 not 345

All follow the same pattern except, '7 - 49 - 345'

Hence, '7 - 49 - 345' is the correct answer.

The pattern followed here is:

(12, 132, 11) → 12 × 11 = 132

Similarly,

(16, 128, 8) → 16 × 8 = 128

Hence, the correct answer is (16, 128, 8).

The pattern followed is:

Option 1 → 4¹ - 4² - 4³, 4³ = 64 not 62

Option 2 → 7¹ - 7² - 7³ → 7- 49 - 343

Option 3 → 9¹ - 9² - 9³ → 9 - 81 - 729

Option 4 → 11¹ - 11² - 11³ → 11- 121 - 1331

All follow the same pattern except, '4 - 16 - 62'

Hence, '4 - 16 - 62' is the correct answer.

The pattern followed is:

Option 1 → 15 : 240 → 15 : 15² + 15

Option 2 → 18 : 342 → 18 : 18² + 18

Option 3 → 11 : 132 → 11 : 11² + 11

Option 4 → 16 : 240 → 16 : 16² - 16

All follow the same pattern except, '16 : 240'

Hence, '16 : 240' is the correct answer.

The pattern followed is:

Option 1 → 14 : 182 → 14 : 14² - 14

Option 2 → 17 : 306 → 17 : 17² + 17

Option 3 → 19 : 342 → 19 : 19² - 19

Option 4 → 12 : 132 → 12 : 12² - 12

All follow the same pattern except, '17 : 306'

Hence, '17 : 306' is the correct answer.

The pattern followed is:

Option 1  → 17 × 2 : 17²

Option 2 → 9 × 2 : 9²

Option 3 → 13 × 2 : 13²  is 169, not 167

Option 4 → 7 × 2 : 7²

All follow the same pattern except, '26 : 167'

Hence, '26 : 167' is the correct answer.

The pattern followed is:

Option 1  → 10 × 2 : 10²

Option 2 → 15 × 2 : 15² is 225, not 220

Option 3 → 19 × 2 : 19² 

Option 4 → 3 × 2 : 3²

All follow the same pattern except, '30: 220'

Hence, '30: 220' is the correct answer.

The logic followed here is:

All Chrome, Safari and Internet Explorer are Search Engines 

Whereas, 

Office is a Suite of Applications.

Hence, office is the odd one.

Microsoft Office is an office suite of desktop applications, servers and services for the Microsoft Windows and Mac operating systems. It includes Microsoft Word, Excel, PowerPoint, Outlook and OneNote. 

The logic is:

{8, 17, 15} → 8² = 17² - 15² ⇒ 64 = 289 - 225 ⇒ 64 = 64 (Pythagorean Triplets)

Similarly,

{7, 25, 24} → 7² = 25² - 24² ⇒ 49 = 625 - 576 ⇒ 49 = 49 (Pythagorean Triplets) 

Hence, ‘{7, 25, 24}’ is the correct answer.

Calculation:

From option (i) 2392 × 69

Take first part in the numerator and second part in the denominator, we get 

(2 × 3 × 9 × 2) ÷ (6 × 9) = 2

From option (ii) 7323 × 76

(7 × 3 × 2 × 3) ÷ (7 × 6) = 3

From option (iii) 3223 × 63

(3 × 2 × 2 × 3) ÷ (6 × 3) = 2

From option (iv) 6234 × 98

(6 × 2 × 3 × 4) ÷ (9 × 8) = 2

We get remainder 2 in options (i), (iii) and (iv)

But in option (ii) we get 3 as remainder  

Hence, option (ii) is different from the rest options.

Given,

16 - 81, 49 - 64, 4 - 9, 25 - 36

The pattern followed here is,

All the numbers are squares of consecutive numbers except 16 - 81(4² - 9²).

Hence, the correct answer is 16 - 81.

Given: 429, 336, 257, 259

All the numbers except option (3), the given number is exactly divisible by any number. 

Here we see only 257 is the prime number.

Option 1: 429 → It is divisible by 3.

Option 2: 336 → It is divisible by 3.

Option 4: 259 → It is divisible by 7.

Hence, the correct answer is 257.

• The priority will always be the prime number in the exams.
• There are some standard rules which need to be followed while selecting the priority.
• priority lists to be followed in exams according to their preferences are:

1. Prime number.
2. Square.
3. Cube.
4. Multiplication and divisions
5. Addition and subtraction.

• A prime number can be divided, without a remainder, only by itself and by 1.
• Some facts about the Prime numbers:

1. The only even prime number is 2. All other even numbers can be divided by 2.
2. If the sum of a number's digits is a multiple of 3, that number can be divided by 3.
3. No prime number greater than 5 ends in a 5. Any number greater than 5 that ends in a 5 can be divided by 5.
4. Zero and 1 are not considered prime numbers.
5. Except for 0 and 1, a number is either a prime number or a composite number. A composite number is defined as any number, greater than 1, that is not prime.

The pattern followed here is :

Last digit of the number is sum of first three digit.

1) 2248 → 2 + 2 + 4 = 8

2) 3036 → 3 + 0 +3 = 6

3) 1258 → 1 + 2 + 5 = 8

4) 3196 → 3 + 1 + 9 = 13 (not followed the pattern)

The logic followed here is:

Option1 : 446 → Sum of digits = 4 + 4 + 6 = 14

Option2 : 824 → Sum of digits = 8 + 2 + 4 = 14

Option3 : 259 → Sum of digits = 2 + 5 + 9 = 16

Option4 : 617 → Sum of digits = 6 + 1 + 7 = 14

Hence, 259 is the odd one from the given options.

The Logic here is as follows:

The  P. V. Narasimha Rao, Morarji Desai, Atal Bihari Vajpayee are served as Prime ministers of India. While Pranab Mukherjee is served as the President of India.

Hence, the correct answer is "Pranab Mukherjee".

Except for Cook, all other options are examples of stationery items.

Stationery items are those items used for the purpose of reading and writing.

Cook is not a stationery item.

Hence, Cook is correct.

The logic followed is:

The second number = (first number × 4) + 1 

Option 1 → 9 ∶ 37 

37 = 9 × 4 + 1

37 = 36 + 1

37 = 37

Option 2 → 6 ∶ 25

25 = 6 × 4 + 1

25 = 24 + 1

25 = 25

Option 3 → 4 ∶ 13

13 = 4 × 4 + 1

13 = 16 + 1

13 ≠ 17 

Option 4 → 7 ∶ 29

29 = 7 × 4 + 1

29 = 28 + 1

29 = 23 

Hence, the correct answer is "4 ∶ 13".

The countries and their capital.

Hence, ‘Kerala - Kanchenjunga​’ is the odd one out

Logic: The ground is related to the game.

Just as boxing is played in the ring.

Similarly,

Basketball is played in the court.

Hence, the correct answer is "Basketball : Court".

All are planet except "Moon". Moon is an astronomical body orbiting Earth and is the planet's only natural satellite.

Hence, "Moon" is the correct answer.

A. Principal: School → The group of Principals is not called School.

B. Warrior: Army → The group of warriors is called Army.

C. Artist: Troupe → The group of Artists is called Troupe.

D. Singer: Chorus → The group of Singers is called Chorus.

Hence, Principal : School is correct.

A. Bottle : Wine → Wine is contained in Bottle.

B. Cup : Tea → Tea is contained in Cup.

C. Matka : Water → Water is contained in Matka.

D. Ball : Bat → Bat is not contained in Ball.

Thus, Ball : Bat is completely unrelated to the other options.

Hence, Ball : Bat is correct.

All except Lotus are flowers, which grow on land while lotus is a water flower.

Hence, "Lotus" is the correct answer.

Loamy soil, Clayey soil and Sandy soil are different types of soils.

Whereas, Silt is a material which is of granular type, and it is between sand and clay.

The given words are Flute, Guitar, Sitar, Violin.

All are stringed instruments except the Flute.

Hence, the correct answer is the Flute.

The logic here is 

Option 1 : 12336 → (12 × 3) = 36 = 36

Option 2 : 12448 → (12 × 4) = 48 = 48

Option 3 : 12556 → (12 × 5) = 60 ≠ 56

Option 4 : 12672 → (12 × 6) = 72 = 72

Hence, "12556" is the correct answer.

The logic followed here is:

Option 1 → 127 = 2⁷ - 1 = 128 - 1 = 127

Option 2 → 1049 → No value comes near by 1049.

Option 3 → 4095 = 2¹² - 1 = 4096 - 1 = 4095

Option 4 → 255 = 2⁸ - 1 = 256 - 1 = 255

Hence, the correct answer is "1049".

Given,

263, 293, 283, 273

Composite numbers:

The composite numbers are the positive integers which have more than two factors, unlike prime numbers.

Here we see 273 is the only composite number all other are prime numbers.

Hence, the correct answer is 273.

The pattern followed here is:

The sum of the digit of the number on both the side are equal.

1) 51-24

5+ 1 = 4 + 2

6 = 6

2) 32 - 42

3 + 2 = 4 + 1

5 = 5

3)36 - 59

3 + 6 = 5 + 9   (odd among all)

9 ≠ 14

4) 61 - 41

6 + 1 = 3 + 4

7 = 7

Iodine, Bromine and Fluorine are non metals. Whereas, Iron is a metal.

Hence, "Iron" is the odd one.

The logic is:

1) 4536 → 4 + 5 + 3 + 6 = 18

2) 6354 → 6 + 3 + 5 + 4 = 18

3) 3456 → 3 + 4 + 5 + 6 = 18

4) 6352 → 6 + 3 + 5 + 2 = 16

Hence, '6352' is the odd one out.

Out of the four triads three triads follow a pattern

1) (273, 546, 819)

273 = 2 + 7 + 3 = 12

546 = 5 + 4 + 6 = 15

819 = 8 + 1 + 9 = 18

2) (291, 438, 657)

291 = 2 + 9 + 1 = 12

438 = 4 + 3 + 8 = 15 

657 = 6 + 5 + 7 = 18

3) (326, 654, 981)

326 = 3 + 2 + 6 = 11

654 = 6 + 5 + 4 = 15

981 = 9 + 8 + 1 = 18

4) (192, 384, 576)

192 = 1 + 9 + 2 = 12

384 = 3 + 8 + 4 = 15

576 = 5 + 7 + 6 = 18

sum of digits of first number in triad is 12

sum of digits of second number in triad is 15

and, sum of digits of third number in triad is 18

on checking, option 3

the first number 326 = 3 + 2 + 6 = 11

654 = 6 + 5 + 4 = 15

981 = 9 + 8 + 1 = 18

Hence, option 3  is different from the given number triads.

Let us check through options.

1) (192, 384, 576)

Sum of 1st, 2nd and 3rd digit is 12, 15 and 18 respectively.

2) (352, 436, 646)

Sum of 1st, 2nd and 3rd digit is 10, 13 and 16 respectively.

3) (219, 438, 657)

Sum of 1st, 2nd and 3rd digit is 12, 15 and 18 respectively.

4) (327, 654, 981)

Sum of 1st, 2nd and 3rd digit is 12, 15 and 18 respectively.

Hence, (352, 436, 646) is correct.

On applying these two properties on each option one by one we get,

1) (201, 702, 303)

Property 1: sum of the digits of the third number = 3 + 3 = 6 and sum of the digits of first number = 2 + 0 + 1 = 3 Here, this property is verified.

Property 2: sum of the digits of second number = 7 + 2 = 9 and sum of the digits of first number = 2 + 0 + 1 = 3 Here this property is verified.

2) (400, 660, 800)

Property 1: sum of the digits of the third number = 8 + 0 + 0 = 8 and sum of the digits of first number = 4 + 0 + 0 = 4 Here, this property is verified.

Property 2: sum of the digits of second number = 6 + 6 + 0 = 12 and sum of the digits of first number = 4 + 0 + 0 = 4 Here this property is verified.

3) (200, 600, 300)

Property 1: sum of the digits of the third number = 3 + 0 + 0 = 3 and sum of the digits of first number = 2 + 0 + 0 = 2 Here, this property is not verified.

Property 2: sum of the digits of second number = 6 + 0 + 0 = 6 and sum of the digits of first number = 2 + 0 + 0 = 2 Here this property is verified.

4) (111, 207, 222)

Property 1: sum of the digits of the third number = 2 + 2 + 2 = 6 and sum of the digits of first number = 1 + 1 + 1 = 3 Here, this property is verified.

Property 2: sum of the digits of second number = 2 + 0 + 7 = 9 and sum of the digits of first number = 1 + 1 + 1 = 3 Here this property is verified.

Hence, option 3  does not follow these properties.

Given conditions:

1. The second number is the square of the first number.

2. The third number is the cube of the first number.

Let us check through options:

1) (11, 121, 1341)

(11)² = 121, (11)³ = 1331 ≠ 1341

2) (17, 289, 4913)

(17)2 = 289, (17)3 = 4913

3) (13, 169, 2197)

(13)2 = 169, (13)3 = 2197

4) (12, 144, 1728)

(12)2 = 144, (12)3 = 1728

Hence, (11, 121, 1341) is correct.

Let us check through option.

1) GIK → G + 2 = I, I + 2 = K

2) TUV → T + 2 = V (not U), V + 2 = X (not V)

3) BDF → B + 2 = D, D + 2 = F

4) NPR → N + 2 = P, P + 2 = R

Hence, TUV is correct.