Number Analogy Questions

An analogy is an important section of Reasoning because it checks the ability of students to compare various elements or to establish relationships among them. It is a very common topic to be asked in all major Government exams, especially Banks, Insurance, SSC, and Railways. 

Number Analogy-In this type of Analogy, numbers are given in a pair or group on one side. We have to find the relationship between them and then find the number or group of numbers which will replace the question mark in the other pair on the other side.

Direction (Question 1-20): In each of the following questions find out the alternative which 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 place of the second element both numerator and denominator is common. From the first to the second element numerical values get reduced by one ( ex. 5-1+4).

So, 3/7: 28/68

3- 14675: 36897:: 35275: _?_

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

Answer: Option 3

Relation between 14675: 36897. Add two in 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: 425 is after subtraction both numbers we get 16 which is square of 4.

So, 484: 459.

After subtraction 459 with 484, we get 25 which is a square of 5.

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

Relation between 52: 2700 is 52 square 2704.

2704 – 4= 2700

So, 62 square 3844.    

3844 – 4 = 3840

7- 672 : 44 :: 437 : _?_

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

Answer: Option 2

Relation between 672 : 48

( 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

Relation between 923 : 20 

9 + 2+ 9 ( 3 square )= 20

So,

6 + 8 + 9 ( 3 square )= 23

9- 121 : 1089 :: 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 :64

9 – 1 = 8 , 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

Relation between 12657 : 75731 

So, 13682: 28741

13-  7: 20 : 4:_?_

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

Answer: Option 2

Relation between 7: 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 18:400

18+2= 20 ( 400= 20 square)

So, 31+2= 33

33 square = 1089

15- 91/67 : 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

Value of numerator gets reversed and in denominator add 11.

So, 83/ 52 : 38/ 63

16- 76: 39:: 28:_?_

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

Answer: Option 1

Relation between 76:39

( 7 + 6) x 3= 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 

26 square: 26 cubes.

So, 28 squares: 28 cubes.

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

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

Answer: Option 1

Relation between 69: 153

( 69×3 ) -( 6×9) = 153

So, ( 76×3) -( 7×6) = 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: 824:: 1236:_?_

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

Answer: Option 1

Relation between 927: 824

9 (9×3) : 8 (8×3) 

So, 12 (12×3): 11 (11×3)

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