Letter and Number Based MCQ Quiz - Objective Question with Answer for Letter and Number Based - Download Free PDF

Last updated on Jun 10, 2025

It is one of the important topic of General Intelligence and Reasoning. It is a key topic which has more weightage in competitive exams. The analogy is a type of logical reasoning where we compare and contrast the different letters, words, groups or general awareness-based topics with each other on their similar characteristics, behaviour or nature upon which they are interdependent. Letter and Number Based analogy is in which there is an amalgamation of numbers and letters in a pattern which are related to or similar to each other. To answer such an analogy question you have to arrange the words and numbers in sequence for understanding. Then we have to check which logic they have asked it might be addition, subtraction, number-letter pair etc. After finding the relationship between them we have to choose the specific answer according to it. Testbook has provided you with many questions related to it which will help you for better understanding and practising purpose so you could increase your accuracy and speed which both are required in all the exams.

Latest Letter and Number Based MCQ Objective Questions

Letter and Number Based Question 1:

Select the option that is related to the fourth term in the same way as the first term is related to the second term and the fifth term is related to the sixth term

16 : 36 : : ? : 50 : : 9 : 22

  1. 31
  2. 23
  3. 34
  4. 22
  5. None of the above

Answer (Detailed Solution Below)

Option 2 : 23

Letter and Number Based Question 1 Detailed Solution

The logic followed here is:

Second number = (First number × 2) + 4

16 : 36 → 16 × 2 = 32 → 32 + 4 = 36

9 : 22 → 9 × 2 = 18 → 18 + 4 = 22

Similarly,

23 : 50 → 23 × 2 = 46 → 46 + 4 = 50

Hence, option 2) is the correct answer.

Letter and Number Based Question 2:

Select the number which replaces the question mark from the given alternatives.
225 : 17; 256 : ? 

  1. 11
  2. 16
  3. 18
  4. 19

Answer (Detailed Solution Below)

Option 3 : 18

Letter and Number Based Question 2 Detailed Solution

The logic followed here is:

Logic: √1st number + 2 = 2nd number.

For, 225 : 17

⇒ √225 + 2 = 17

⇒ 15 + 2 = 17

Similarly,

256 : ? 

⇒ √256 + 2 = ?

⇒ 16 + 2 = 18.

Hence, the correct answer is "Option 3".

Letter and Number Based Question 3:

Just as the second term is related to the first term, choose the option that is related to the third term.
A2D : Z4W :: B3E : ?

  1. X4Y
  2. Y4V
  3. D6E
  4. Y6V

Answer (Detailed Solution Below)

Option 4 : Y6V

Letter and Number Based Question 3 Detailed Solution

The positions of the letters according to the English alphabet series:

Common Diagram 28.01.2020 D1

The pattern for this is as follows;

For, A2D : Z4W

qImage6836c1f97223df25e59fc754Task Id 1415 Daman (3)

Similarly; B3E : Y6V

qImage6836c1f97223df25e59fc755Task Id 1415 Daman (4)

Hence, the correct answer is "Option 4".

Letter and Number Based Question 4:

Which number will best complete the relationship given below?

9 : 80 :: 7 : ?

  1. 50
  2. 48
  3. 82
  4. 78
  5. 51

Answer (Detailed Solution Below)

Option 2 : 48

Letter and Number Based Question 4 Detailed Solution

The logic followed here is:

Logic: (1st number2 - 1) = 2nd number.

Now,

For, 9 : 80

⇒ (92) - 1 = 81 - 1 = 80.

Similarly, for 7 : ?

⇒ (72) - 1 = 49 - 1 = 48.

Hence, the correct answer is "Option 2".

Letter and Number Based Question 5:

Which number will best complete the relationship given below?

31 :: 84 : ?

  1. 4
  2. 22
  3. 16
  4. 10
  5. 18

Answer (Detailed Solution Below)

Option 3 : 16

Letter and Number Based Question 5 Detailed Solution

The logic followed here is:

Logic: (Difference of 1st number)2 = 2nd number.

Now,

For, 31 4

⇒ (3 - 1)2 = 22 = 4.

Similarly, for 84 ∶ ?

⇒ (8 - 4)2 = 42 = 16.

Hence, the correct answer is "Option 3".

Top Letter and Number Based MCQ Objective Questions

Select the number-pair from the given options where the first number is NOT related to the second number as in the given number-pair:

4 : 8

  1. 8 : 32
  2. 2 : 2
  3. 3 : 9
  4. 6 : 18

Answer (Detailed Solution Below)

Option 3 : 3 : 9

Letter and Number Based Question 6 Detailed Solution

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Important Points

  •  NOT Related means "We have to find a pair that is different from the given pair."

 

  • The logic followed here is: Second number = First number × (First number ÷ 2)
  • Given: 4 : 8 ⇒ 4 × (4 ÷ 2) = 4 × 2 = 8
  1. 8 : 32 ⇒ 8 × (8 ÷ 2) = 8 × 4 = 32
  2. 2 : 2 ⇒ 2 × (2 ÷ 2) = 2 × 1 = 2
  3. 3 : 9 ⇒ 3 × (3 ÷ 2) = 3 × 1.5 = 4.5 ≠ 9
  4. 6 : 18 ⇒ 6 × (6 ÷ 2) = 6 × 3 = 18

 

Hence, "option 3" is the correct answer.

Select the option that is related to the third number in the same way as the second number is related to the first number.

31 : 90 :: 43 : ?

  1. 130
  2. 125
  3. 102
  4. 75

Answer (Detailed Solution Below)

Option 3 : 102

Letter and Number Based Question 7 Detailed Solution

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The pattern followed here is,

Let (1st number : 2nd number)

1st number + 59 = 2nd number

Now follow the steps:

31 : 90

=> 31 + 59 = 90 = 2nd number

Similarly,

43 : ?

=> 43 + 59 = 102 = 2nd number

Hence, "102" is correct answer.

Select the option that is related to the third term in the same way as the second term is related to the first term and the sixth term is related to the fifth term.

16 : 69 :: 24 : ? :: 31 : 144

  1. 109
  2. 121
  3. 116
  4. 105

Answer (Detailed Solution Below)

Option 1 : 109

Letter and Number Based Question 8 Detailed Solution

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The logic followed here is:

Logic : (First number × 5) - 11 = Second number

• 16 : 69

⇒ (16 × 5) - 11

⇒ 80 - 11 = 69

• 31 : 144

⇒ (31 × 5) - 11 

⇒ 155 - 11 = 144

Similarly, 24 : ?

⇒ (24 × 5) - 11

⇒ 120 - 11 = 109

Hence, '109' is the correct answer.

Select the option that is related to the third number in the same way as the second number is related to the first number.

223 : 350 :: 519 : ? 

  1. 736
  2. 687
  3. 654
  4. 645

Answer (Detailed Solution Below)

Option 1 : 736

Letter and Number Based Question 9 Detailed Solution

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The pattern followed here is,

Sum of digits of 1st number + 1 = Sum of digits of 2nd number.

Now follow the steps:

223 : 350

Sum of digits of 1st number + 1 = Sum of digits of 2nd number.

=> = (2 + 2 + 3) + 1 = 3 + 5 + 0

=> 7 + 1 = 8

=> 8 = 8

Similarly,

519:?

=> Sum of digits of 1st number + 1 = (5 + 1 + 9) + 1 = 15 + 1 = 16

Check option all options:

Option (1): 736 → 7 + 3 + 6 = 16 72

Option (2): 687 → 6 + 8 + 7 = 21 72

Option (3): 654 → 6 + 5 + 4 = 15 72

Option (4): 645 → 6 + 4 + 5 = 15 72

Hence, "736" is correct answer.

Alternate Method

223 : 350 

⇒ 63 + 7= 216 + 7 = 223; 73 + 7 = 343 + 7  = 350;

Similarly,

519 : ?

⇒ 83 + 7 = 512 + 7 = 519; 93 + 7 = 729 + 7  = 736;

Hence, "736" is correct answer.

Directions - In these questions, select the related letters / word / number / figure from the given alternatives.

248 : 3 :: 328 : ?

  1. 7
  2. 5
  3. 4
  4. 6

Answer (Detailed Solution Below)

Option 3 : 4

Letter and Number Based Question 10 Detailed Solution

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The logic followed is:

(First two digit of the first number together) ÷ third digit of the first number = second number

248 : 3

24 ÷ 8 = 3

3 = 3

Similarly,

328 : ?

32 ÷ 8 = ?

? = 4

Hence, the correct answer is "4".

Directions: Select the set in which the numbers are related in the same way as are the numbers of the following set.

(2, 7, 57)

  1. (4, 21, 463)
  2. (3, 20, 81)
  3. (5, 21, 121)
  4. (3, 27, 729)

Answer (Detailed Solution Below)

Option 1 : (4, 21, 463)

Letter and Number Based Question 11 Detailed Solution

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The logic followed here is:

Second number = [First number × (First number + 1)] + 1

Third number = [Second number × (Second number + 1)] + 1

The given set is (2, 7, 57)

Second number = [First number × (First number + 1)] + 1

= [2 × (2 + 1)] + 1

= [2 × 3] + 1

= 6 + 1 = 7 

Third number = [Second number × (Second number + 1)] + 1

= [7 × (7 + 1)] + 1

= [7 × 8] + 1

= 56 + 1 = 57

Checking the options:-

1) (4, 21, 463)

Second number = [First number × (First number + 1)] + 1

= [4 × (4 + 1)] + 1

= [4 × 5] + 1

= 20 + 1 = 21

Third number = [Second number × (Second number + 1)] + 1

= [21 × (21 + 1)] + 1

= [21 × 22] + 1

= 462 + 1 = 463

2) (3, 20, 81)

Second number = [First number × (First number + 1)] + 1

= [3 × (3 + 1)] + 1

= [3 × 4] + 1

= 12 + 1 = 13 ≠ 20 

3) (5, 21, 121)

Second number = [First number × (First number + 1)] + 1

= [5 × (5 + 1)] + 1

= [5 × 6] + 1

= 30 + 1 = 31 ≠ 21

4) (3, 27, 729)

Second number = [First number × (First number + 1)] + 1

= [3 × (3 + 1)] + 1

= [3 × 4] + 1

= 12 + 1 = 13 ≠ 27

Hence, "(4, 21, 463)" is the correct answer.

Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number.

9 : 27 :: 12 : 48 :: 6 : ?

  1. 18
  2. 20
  3. 12
  4. 22

Answer (Detailed Solution Below)

Option 3 : 12

Letter and Number Based Question 12 Detailed Solution

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The logic followed here is:

Logic: Second number = First number × (First number ÷ 3 )

  • 9 : 27 → 9 × (÷ 3) = 9 × 3 = 27
  • 12 : 48 → 12 × (12 ÷ 3) = 12 × 4 = 48

Similarly,

  • 6 : ? → 6 × (6 ÷ 3) = 6 × 2 = 12

Hence, '12' is the correct answer.

Select the option in which the numbers shares the same relationship in set as that shared by the numbers in the given set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g.13 – Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)

(79, 89, 101)

(31, 41, 47)

  1. (43, 47, 59)
  2. (53, 61, 67)
  3. (29, 37, 43)
  4. (17, 19, 23)

Answer (Detailed Solution Below)

Option 3 : (29, 37, 43)

Letter and Number Based Question 13 Detailed Solution

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The logic followed here is:

The pairs are given as: "Alternate Prime numbers".

Now,

(79, 89, 101)

⇒ 79 → 22nd Prime number.

⇒ 89 → 24th Prime number.

⇒ 101 → 26th Prime number.

For (31, 41, 47)

⇒ 31 → 11th Prime number.

⇒ 41 → 13th Prime number.

⇒ 47 → 15th Prime number.

Now, checking the options:

Option 1: (43, 47, 59)

⇒ 43 → 14th Prime number.

⇒ 47 → 15th Prime number.

⇒ 59 → 17th Prime number.

Option 2: (53, 61, 67)

⇒ 53 → 16th Prime number.

⇒ 61 → 18th Prime number.

⇒ 67 → 19th Prime number.

Option 3: (29, 37, 43)

⇒ 29 → 10th Prime number.

⇒ 37 → 12th Prime number.

⇒ 43 → 14th Prime number.

Option 4: (17, 19, 23)

⇒ 17 → 7th Prime number.

⇒ 19 → 8th Prime number.

⇒ 23 → 9th Prime number.

Hence, the correct answer is "Option 3".

Additional Information

Prime number table from 1 to 100.

qImage6440cb1ed06b95b0a33899d1

Select the option that is related to the third number in the same way as the second number is related to the first number and sixth number is related to fifth number.

54 : 41 : : 74 : ? : : 65 : 61

  1. 68
  2. 70
  3. 65
  4. 61

Answer (Detailed Solution Below)

Option 3 : 65

Letter and Number Based Question 14 Detailed Solution

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The logic followed here is,

second number is the sum of square of digits of first number.

54 = (5)2 + (4)= 25 + 16 = 41

In the same way, sixth number is the sum of square of digits of fifth number.

65 = (6)2 + (5)= 36 + 25 = 61

Similarly,

The fourth number will the sum of square of digits of third number.

74 = (7)+ (4)= 49 + 16 = 65

So, the final series will be like;

54 : 41 : : 74 : 65 : : 65 : 61

Hence, the correct answer is "65".

In the following question, select the related number from the given alternatives.

426 : 576 :: 378 : ?

  1. 2996
  2. 3024
  3. 632
  4. 778

Answer (Detailed Solution Below)

Option 2 : 3024

Letter and Number Based Question 15 Detailed Solution

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Given

426 : 576 :: 378 : ?

Here, the logic is;
Second number = (Sum of digits of first number) x (Product of digits of the first number)

426 : 576 

⇒ (4 + 2 + 6) × (4 × 2 × 6)

⇒ (12) × (48)

⇒ = 576

Similarly,

378 : ?

⇒ (3 + 7 + 8) × (3 × 7 × 8)

⇒ (18) × (168)

⇒ = 3024

Hence, "3024" is the correct answer.

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