Number Analogy Questions Practice

Table of Contents

NUMBER ANALOGY Examples

This section deals with two types of number analogy questions:

I. Based on the relationship between the numbers in each pair, selecting a pair that is similarly related to the supplied number pair.

II. Selecting a number that is comparable to a collection of numbers by virtue of some shared characteristics.

ILLUSTRATIVE EXAMPLES

Ex. 1. 3 : 11:: 7:?

(a) 22 (b) 29 (c) 18 (d) 51

Sol. Clearly, 3² + 2 = 11.

Now, 7² + 2 = 51.

So, if the first number is x, the second number is x² + 2.

Thus, the relationship is x : x² + 2.

Hence, the answer is (d).

Ex. 2 324 : 162

(a) 64 : 36 (b) 2 : 1

Sol. Clearly, the relationship is 2x : x.

This relationship exists in (b).

So, the correct answer is (b).

Ex. 3 Which number is like the given set of numbers?

Given set: {3, 17, 31}

(a) 5 (b) 45

Sol. Clearly, the numbers in the given set are all prime numbers. 5 is also a prime

number and so belongs to the same group.

Hence, the answer is (a).

Ex. 4 Which set of numbers is like the given set?

Given set: {48, 24, 12}

(a) {44, 22, 10} (b) {46, 22, 11}

Sol. Clearly, in the given set, the first number is twice the second and the second

number is twice the third. A similar relationship exists between the numbers

in the group {40, 20, 10}.

Hence, the answer is (c).

Instructions for Questions 1 through 17: In every one of the subsequent enquiries, there is the relationship between two provided numbers on one side of ‘:’ and one additional ‘:’ is followed by a number, and another number must be located. from the options provided, sharing the same relationship with this figure as The supplied pair bear’s numbers. Select the best option.

NUMBER ANALOGY QUESTIONS

1. 6 : 18:: 4: ?

(a) 6 (b) 8

2. 231 : 3:: 574:?

(a) 2 (b) 6

3. 1 : 16 :: 25: ?

(a) 12 (b) 125

4. 12 : 12 :: 25 : ?

(a) 18 (b) 24

5. 24 : 120 :: 64 : ?

(a) 8 (b) 33

6. 7528 : 5362 :: 4673 : ?

(a) 2367 (b) 2451

7. 25 : 37 :: 49 : ?

(a) 41 (b) 56

8. 25 : 125 :: 36 : ?

(a) 180 (b) 206 (c) 216 (d) 318

9. 14 : 9 :: 26 : ?

(a) 12 (b) 13 (c) 15 (d) 31

10. 8 : 28 :: 27 : ?

(a) 8 (b) 28 (c) 64 (d) 65

11. 583 : 293 :: 488 : ?

(a) 291 (b) 378 (c) 487 (d) 581

12. 7 : 56 :: 9 : ?

(a) 49 (b) 63 (c) 72 (d) 81

13. 9 : 8 :: 16 : ?

(a) 81 (b) 90 (c) 99 (d) 108

14. 3 : 81 :: 64 : ?

(a) 125 (b) 137 (c) 525 (d) 625

15. 17 : 52 :: 1 : ?

(a) 3 (b) 4 (c) 5 (d) 6

16. 20 : 11 :: 102 : ?

(a) 49 (b) 52 (c) 61 (d) 51

17. 9 : 80 :: 100 : ?

(a) 901 (b) 1009 (c) 9889 (d) 9999

Instructions (Questions 18–23): Every question that follows includes of two numbers that are related in a specific way, followed by four additional numerical pairs provided as substitutes. Choose the pair where The numbers have the same relationship as the provided pair.

18. 12 : 144

(a) 22 : 464 (b) 20 : 400 (c) 15 : 135 (d) 10 : 140

19. 27 : 9

(a) 64 : 8 (b) 125 : 5 (c) 135 : 15 (d) 729 : 81

20. 5 : 35

(a) 7 : 77 (b) 9 : 45 (c) 11 : 55 (d) 3 : 24

21. 8 : 256

(a) 9 : 243 (b) 10 : 500 (c) 6 : 75 (d) 5 : 75

22. 11 : 1210

(a) 6 : 216 (b) 7 : 1029 (c) 8 : 448 (d) 9 : 729

23. 7 : 24

(a) 30 : 100 (b) 23 : 72 (c) 19 : 58 (d) 11 : 43

Instructions (questions 24–29): In every question that follows, select one figure that is comparable to the figures in the provided collection.

24. Given set : 363, 489, 579

(a) 562 (b) 471 (c) 382 (d) 281

25. Given set : 282, 354, 444

(a) 453 (b) 417 (c) 336 (d) 255

26. Given set : 992, 733, 845, 632

(a) 114 (b) 326 (c) 425 (d) 947

27. Given set: 134, 246, 358

(a) 372 (b) 460 (c) 572 (d) 684

28. Given set: 538, 725, 813

(a) 814 (b) 712 (c) 328 (d) 219

29. Given set: 4718, 5617, 6312, 8314

(a) 2715 (b) 3410 (c) 5412 (d) 6210

Instructions for Questions 30–40: In every one of the subsequent enquiries, select the set of numbers that resembles the provided set among the four alternate sets.

30. Given set: (6, 13, 22)

(a) (6, 13, 27) (b) (10, 16, 28) (c) (11, 18, 27) (d) (13, 19, 32)

31. Given set: (9, 15, 21)

(a) (10, 14, 16) (b) (7, 21, 28) (c) (10, 15, 25) (d) (20, 15, 25)

32. Given set: (12, 20, 40)

(a) (15, 23, 31) (b) (13, 18, 15) (c) (17, 27, 50) (d) (12, 21, 30)

33. Given set: (21, 51, 15)

(a) (21, 30, 51) (b) (21, 35, 41) (c) (21, 51, 42) (d) (21, 91, 35)

34. Given set: (8, 3, 2)

(a) (10, 6, 5) (b) (63, 8, 3) (c) (95, 24, 5) (d) (168, 15, 4)

35. Given set: (14, 23, 32)

(a) (15, 23, 31) (b) (14, 19, 24) (c) (13, 21, 29) (d) (12, 21, 30)

36. Given set: (49, 25, 9)

(a) (36, 16, 4) (b) (36, 25, 16) (c) (39, 26, 13) (d) (64, 27, 8)

37. Given set: (256, 64, 16)

(a) (160, 40, 10) (b) (144, 36, 9) (c) (80, 20, 5) (d) (64, 32, 8)

38. Given set: (18, 8, 2)

(a) (3, 7, 1) (b) (11, 12, 10) (c) (17, 9, 3) (d) (24, 22, 4)

39. Given set: (246, 257, 358)

(a) (145, 235, 325) (b) (143, 253, 246) (c) (273, 365, 367) (d) (233, 343, 345)

40. Given set: (63, 49, 35)

(a) (72, 40, 24) (b) (72, 48, 24) (c) (64, 40, 28) (d) (81, 63, 45)

ANSWERS

1. (c): The relationship is x^2.

2. (b): The relationship is 7x ± 3.

3. (d): The relationship is x ± 6.

4. (c): The relationship is x^2: (x + 1).

5. (a): The relationship is (2x + 2): x.

6. (b): The relationship is x^3: (x – 2222).

7. (d): The relationship is x^2: (x + 1)^2 ± 1.

8. (c): The relationship is x^2: x^3.

9. (c): The relationship is (2x-4): x.

10. (d): The relationship is x^3: (x+1)^3+1.

11. (b): Sum of digits of the first number is 2 more than the sum of digits of the second number.

12. (c): The relationship is x : x(x+1).

13. (a): The relationship is x^y: (x-1)^y+^1

Now, 16=4^2

So,required number =(4-1)^2+^1=3^3=27

14. (d): The relationship is x^y : (X+1)^(y+1)

Now, 64=4^3

So, required number=(4+1)^(3+1)=5^4=625

15. (b): The relationship is x: (3x+1).

16. (b): The relationship is 2x : (x+1).

17. (d): The relationship is x: (x^2-1).

18. (b): The relationship is x: x^2

19. (d): The relationship is x^3: x^2

20. (a): The first number is multiplied by next prime number to obtain the second number.

21. (c):The relationship is x: x^3/2

23. (b): The relationship is x: (3x+3).

24. (b) Number Sum of digits New sum of digits

363 3+6+3=12 1+2=3

489 4+8+9=21 2+1=3

579 5+7+9=21 2+1=3

471 4+7+1=12 1+2=3

25. (a): In all the numbers, the sum of digits is 12 and the largest digit lies in the middle .

26. (c): In all the numbers,the middle digit is the sum of the digits of the product of othertwo digits.

Now, 9*2=18, 1+8=9(middle digit is 992);

7*3=21, 2+1=3(middle digit is 733);

8*5=40, 4+0=4(middle digit is 845)and so on.

27. (b): The first digit of the number from the series 1,2,3,4

The second digit of the number from the series 3,4,5,6

The last digit of the number from the series 4, 6,8.0.

28. (d): In all the numbers,(Ist digit+3rd digit)-middle digit=10.

Thus 5+8-3=10, 7+5-2=10, 8+3-1=10.

29. (c): In all numbers the product of the first and last digit is a multiple of the sum of the middle two digits.

Thus,4*8=32 is a multiple of (7+1)i.e 8.

5*7=35 is a multiple of (6+1) i.e. 7 and so on.

30. (c) : In each set, 2nd number =Ist number +7;

3rd number=2nd number+9.

31. (d): In each set, Ist number +3rd number/2=2nd number.

32. (b): The sum of numbers in each set is 36.

33. (d): In each set ,(3rd number *2)+1st number=2nd number.

34. (b): In each set, Ist number=(2nd number)^2-1.

2nd number=(3rd number)^2-1.

35.(d): In each set, 2nd number=Ist number+9;

3rd number=2nd number+9.

36. (a): Each set contains squares of three consecutive alternate numbers in reverse order.

Thus, 9=3^2, 25=5^2, 49=7^2.

37. (d): All the numbers in each set can be expressed in terms of power 2.

38. ( d): Each set consists of only even numbers.

39. (c): The sum of digits of the numbers in a set are 12, 14 and 16 respectively.

40. (d): Each set consists of numbers which are obtained by multiplying a certain number by 9,7 and 5 respectively.

Thus, in the given set, 63=7 *9, 49=7*7, 35=7*5.

Similarly, 81=9*9, 63=9*7, 45=9*5

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