Number Analogy Questions

In this type of analogy, numbers are given in pairs or groups. You need to identify the relationship between them and use the same relationship to find the missing number or group of numbers.

Solved Examples

Direction (Questions 1-20): In each of the following questions, find out the alternative that will replace the question mark. 

1- 196: _?_:: 563: 7

1. 10
2. 14
3. 13
4. 8

Answer: Option 4

Relation between 563:7

(5+6+3) / 2 = 7

So, (1+9+6)/2 = 8

2- 5/6: 48/58:: 3/7: _?_

1. 38/68
2. 28/68
3. 36/46
4. 27/69

Answer: Option 2

Relation between 5/6: 48/58

The unit digit remains the same, while the tens digit is one less than the original numerator or denominator.

Example:

• 5 → 48
• 6 → 58

3-14675::35275:?_

1. 57697
2. 57456
3. 57497
4. 46885

Answer: Option 3

Relation between 14675: 36897. Add two to all the digits of the first term to get the second element.

So, 35275: 57497.

4- 441: 425:: 484: _?_

1. 459
2. 512
3. 446
4. 494

Answer: Option 1

Relation between 441 and 425: After subtraction of both numbers, we get 16, which is the square of 4.

So, 484: 459.

Subtract the square root of the first number squared.

• 441 − 4² = 425
• 484 − 5² = 459

5- 1632: 4284 :: 1530 :: _?_

1. 3248
2. 3678
3. 3572
4. 3468

Answer: Option 4

Relation between 1632: 4284

• 16 x 2 = 32 (1632)
• 42 x 2 = 84 (4284)

So, according to options 34 x 2 = 68 (3468)

6-52: 2700:: 62: _?_

1. 3822
2. 8322
3. 3844
4. 3840

Answer: Option 4

The relation between 52 and 2700 is 52², 2704.

2704 - 4 = 2700

So, 62 squared is 3844.    

3844 - 4 = 3840

7-672:44::437:?_

1. 22
2. 19
3. 34
4. 18

Answer: Option 2

The relation between 672 and 44

(6 x 7) + 2 = 44

So, (4 x 3) + 7 = 19

8-923:20::683:?_

1. 32
2. 43
3. 23
4. 24

Answer: Option 3

The relation between 923 and 20 

9 + 2 + 9 (3²) = 20

So,

6 + 8 + 9 (3²) = 23

9 : 121 :: 147 : _?_

1. 1176
2. 1323
3. 1470
4. 1029

Answer: Option 2

Relation between 121 : 1089

121 x 9 = 1089

So, 147 x 9 = 1323

10-50: 2401 :: 60 :: _?_

1. 3481
2. 3600
3. 3721
4. 3364

Answer: Option 1

Relation between 50 : 2401 

50 - 1 = 49

49 square = 2401

So, 59 square = 3481

11-91:64::?:36

1. 48
2. 98
3. 61
4. 93

Answer: Option 4

Relation between 91 and 64

9 - 1 = 8, and 8 square = 64

So, 9 - 3 = 6.  6 square = 36

12-12657:75731::13682::_?_

1. 28471
2. 28774
3. 28741
4. 27841

Answer: Option 3

The relation between 12657 and 75731 

So, 13682: 28741

13 - 7 : 20 : 4 : _?_

1. 45
2. 60
3. 70
4. 81

Answer: Option 2

Relation between 7 and 20

7+20=27 (cube of 3)

So, 4 + 60 = 64 (cube of 4)

14- 18: 400: 31: _?_

1. 1089
2. 900
3. 841
4. 1156

Answer: Option 1

Relation between 18:40 and

18+2 = 20 (20² = 400)

So, 31+2 = 33.

33 square = 1089

15/67 : 19/78 :: 83/52 : _?_

1. 83/25
2. 38/54
3. 38/74
4. 38/63

Answer: Option 4

Relation between 91/67 :: 19/78

The value of the numerator gets reversed, and in the denominator, add 11.

So, 83/52 : 38/63

16-76::28:_?_

1. 30
2. 18
3. 20
4. 12

Answer: Option 1

Relation between 76:39

(7 + 6) x = 39

So,

(2 + 8) x 3 = 30

17- 676: 17576:: 784: _?_

1. 19600
2. 20384
3. 21952
4. 17248

Answer: Option 3

Relation between 676: 17576 

• 676 = 26²
• 17576 = 26³

Similarly

• 784 = 28²
• 28³ = 21952

18-69: 153:: 76: _?_

1. 186
2. 228
3. 270
4. 277

Answer: Option 1

Relation between 69: 153

(69x3) - (6x9) = 153

So, (76x3) - (7x6) = 186

19:186::687:174::_?_

1. 541
2. 472
3. 747
4. 477

Answer: Option 4

Relation between 186: 687

So, 174: 477

20:927::1236:_?_

1. 1133
2. 1545
3. 1339
4. 1352

Answer: Option 1

Relation between 927: 824

9 (9x3): 8 (8x3) 

So, 12 (12x3): 11 (11x3)

Because the number is going from 927 to 824 (decreasing by one), hence 1236 will give 1133. 

Practice Questions

1. 3 : 9 :: 7 : ?

2. 4 : 12 :: 8 : ?

3 : 26 :: 4 : ?

4 : 16 :: 3 : ?

5. 7 : 22 :: 11 : ?

6. 6 : 35 :: 8 : ?

7. 12 : 6 :: 16 : ?

8. 3 : 4 :: 48 : ?

9. 25 : 5 :: 49 : ?

10.8 : 56 :: 9 : ?