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

The logic followed here is:

Logic: 1st number × 3rd number × 3 + 1 = second number.

As, (9, 217, 8)

→ 9 × 8 ⇒ 72 × 3 + 1 = 217

Similarly,

(4, 37, 3)

→ 4 × 3 = 12 × 3 + 1 = 37 

Hence, the correct answer is "Option 1".

The pattern followed here is:

(1^st number ÷ 7) = 2^nd number

Now follow the steps:

343 is related to 49

= 343 ÷ 7

= 49 = 2nd number

And,

686 is related to 98

= 686 ÷ 7

= 98 = 2nd number

Similarly,

413 is related to

= 413 ÷ 7

= 59 = 2nd number

The pattern followed here is,

Let (1st number : 2nd number)

(2^nd number - 1) ÷ 2 = 1^st number

Now follow the steps:

2 : 5

=> (5 - 1) ÷ 2 = 4 ÷ 2 = 2 = 1st number

Similarly,

? : 19

=> (19 – 1) ÷ 2 = 18 ÷ 2 = 9 = 1st number

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.

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".

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.

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.

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.

The pattern followed here is,

Sum of digits of 1^st number + 1 = Sum of digits of 2^nd 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 1^st number + 1 = (5 + 1 + 9) + 1 = 15 + 1 = 16

Check option all options:

Option (1): 736 → 7 + 3 + 6 = 16 

Option (2): 687 → 6 + 8 + 7 = 21 

Option (3): 654 → 6 + 5 + 4 = 15 

Option (4): 645 → 6 + 4 + 5 = 15 

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.

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".

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.

The logic followed here is:

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

• 9 : 27 → 9 × (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.

The logic followed here is:

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

Now,

(79, 89, 101)

⇒ 79 → 22^nd 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.

The logic followed here is,

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

54 = (5)² + (4)² = 25 + 16 = 41

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

65 = (6)² + (5)² = 36 + 25 = 61

Similarly,

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

74 = (7)² + (4)² = 49 + 16 = 65

So, the final series will be like;

54 : 41 : : 74 : 65 : : 65 : 61

Hence, the correct answer is "65".

Logic ∶ First number (A + B) = X + first number = Second number

14 ∶ 19 = 1 + 4 = 5 + 14 = 19

And

25 ∶ 32 = 2 + 5 = 7 + 25 = 32

Similarly,

103 ∶ 107 = 1 + 0 + 3 = 4 + 103 = 107

Hence, "107" is the correct answer.