Pattern Based MCQ Quiz - Objective Question with Answer for Pattern Based - Download Free PDF

Last updated on May 25, 2025

Latest Pattern Based MCQ Objective Questions

Pattern Based Question 1:

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.

21: 196: : 29:? :: 38 : 315

  1. 319
  2. 252
  3. 203
  4. 841
  5. None of the above

Answer (Detailed Solution Below)

Option 2 : 252

Pattern Based Question 1 Detailed Solution

The pattern follows here is:

(First number + 7 ) × 7 : Second number

→  21: 196 

= ( 21 + 7) × 7 

= 28 × 7 

= 196

→ 38: 315

= (38 + 7) × 7

= 45 × 7

= 315

Similarly,

→ 29:?

= (29 + 7 ) × 7

= 36  × 7

= 252

Hence the correct answer is 252. 

Pattern Based Question 2:

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.
7 : 13 :: 16 : 31 :: 46 : ?

  1. 81
  2. 83
  3. 91
  4. 97
  5. None of the above

Answer (Detailed Solution Below)

Option 3 : 91

Pattern Based Question 2 Detailed Solution

Logic : First number × 2 → A - 1 = Second number

7 : 13 → 7 × 2 ⇒ 14 - 1 = 13

16 : 31 → 16 × 2 ⇒ 32 - 1 = 31

Similarly,

46 : 91 → 46 × 2 ⇒ 92 - 1 = 91 

Hence, the correct answer is "Option 3".

Pattern Based Question 3:

Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
19 - 4 - 23
59 - 7 - 66

  1. 13 - 8 - 23
  2. 15 - 12 - 17
  3. 17 - 24 - 41
  4. 32 - 9 - 51

Answer (Detailed Solution Below)

Option 3 : 17 - 24 - 41

Pattern Based Question 3 Detailed Solution

The logic followed in the given sets is: first number + second number = third number.

Now,

For (19 - 4 - 23):

⇒ 19 + 4 = 23

For (59 - 7 - 66):

⇒ 59 + 7 = 66

Let's check the options based on this logic:

Option 1: (13 - 8 - 23)

⇒ 13 + 8 = 21 ≠ 23

Option 2: (15 - 12 - 17)

⇒ 15 + 12 = 27 ≠ 17

Option 3: (17 - 24 - 41)

⇒ 17 + 24 = 41

Option 4: (32 - 9 - 51)

⇒ 32 + 9 = 41 ≠ 51

Hence, the correct answer is Option 3.

Pattern Based Question 4:

Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
24 - 10 - 14
33 - 11 - 22

  1. 3 - 2 - 4
  2. 5 - 1 - 3
  3. 54 - 3 - 48
  4. 10 - 3 - 7

Answer (Detailed Solution Below)

Option 4 : 10 - 3 - 7

Pattern Based Question 4 Detailed Solution

The logic follows here:

1st number - 3rd number = 2nd number.

Given:

24 - 10 - 14

⇒ 24 - 14 = 10 = 2nd number

And

33 - 11 - 22

⇒ 33 - 22 = 11 = 2nd number

Similarly, In option (4): 10 - 3 - 7

⇒ 10 - 7 = 3 = 2nd number

Hence, the correct answer is "Option (4)."

Pattern Based Question 5:

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

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
11 - 12 - 23
4 - 45 - 49

  1. 68 - 12 - 80
  2. 56 - 50 - 123
  3. 3. 5 - 23 - 38
  4. 34 - 6 - 43

Answer (Detailed Solution Below)

Option 1 : 68 - 12 - 80

Pattern Based Question 5 Detailed Solution

The logic followed here is:

Logic: 1st number + 2nd number = 3rd number.

11 - 12 - 23

→ 11 + 12 

→ 23 = 3rd number

And
4 - 45 - 49

→ 4 + 45 

→ 49 = 3rd number.

Similarly,

Option 1

68 - 12 - 80

→ 68 + 12 

→ 80 = 3rd number.

Hence , the correct answer is "Option 1".

Top Pattern Based MCQ Objective Questions

Study the given pattern carefully and select the number that can replace the question mark (?) in it.

(6, 2, 34)

(1, 5, 13)

(9, 1, ?)

(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)

  1. 25
  2. 19
  3. 16
  4. 13

Answer (Detailed Solution Below)

Option 1 : 25

Pattern Based Question 6 Detailed Solution

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Logic : (1st number × 2nd number × 3) - 2 = (3rd number )

So,

  • (6, 2, 34)

6 × 2 × 3 - 2 = 34 

36 - 2 = 34 (LHS = RHS)

And,

  • (1, 5, 13)

1 × 5 × 3 - 2  = 13

13 = 13 (LHS = RHS)

Similarly,

  • (9, 1, ?)

9 × 1 × 3 - 2 = ? 

27 - 2 = ?

25 = ?

Hence, "25" is the correct answer.

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

(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)

(15, 21, 10)

(25, 36,17)  

  1. (100, 45, 87) 
  2. (100, 33, 31)
  3. (123, 23, 56) 
  4. (50, 45, 31)  

Answer (Detailed Solution Below)

Option 2 : (100, 33, 31)

Pattern Based Question 7 Detailed Solution

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The logic followed here is:

Logic: (1st number ÷ 5) + (2nd number ÷ 3) = 3rd number.

Now,

For, (15, 21, 10)

→ (15 ÷ 5) + (21 ÷ 3)

→ 3 + 7 = 10.

For, (25, 36,17)

→ (25 ÷ 5) + (36 ÷ 3)

→ 5 + 12 = 17.

Similarly, for (100, 33, 31)

→ (100 ÷ 5) + (33 ÷ 3)

→ 20 + 11 = 31.

Hence, the correct answer is "Option 2".

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.

21: 196: : 29:? :: 38 : 315

  1. 319
  2. 252
  3. 203
  4. 841

Answer (Detailed Solution Below)

Option 2 : 252

Pattern Based Question 8 Detailed Solution

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The pattern follows here is:

(First number + 7 ) × 7 : Second number

→  21: 196 

= ( 21 + 7) × 7 

= 28 × 7 

= 196

→ 38: 315

= (38 + 7) × 7

= 45 × 7

= 315

Similarly,

→ 29:?

= (29 + 7 ) × 7

= 36  × 7

= 252

Hence the correct answer is 252. 

Select the set in which the numbers are related in the same way as are the numbers of 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.)

(36, 21, 35)

(43, 19, 53)  

  1. (51, 34, 39) 
  2. (48, 37, 25) 
  3. (44, 20, 54) 
  4. (35, 22, 34) 

Answer (Detailed Solution Below)

Option 1 : (51, 34, 39) 

Pattern Based Question 9 Detailed Solution

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Logic : (1st number - 2nd number) × 2 = (3rd number - 5)

Given :

  • (36, 21, 35)

(36 - 21) × 2 = 35 - 5

15 × 2 = 30

30 = 30 (LHS = RHS)

  • (43, 19, 53)

(43 - 19) × 2 = 53 - 5

24 × 2 = 48

48 = 48 (LHS = RHS)

So,

  • Option - (1) : (51, 34, 39)

(51 - 34) × 2 = 39 - 5

17 × 2 = 34

34 = 34 (LHS = RHS)

  • Option - (2) : (48, 37, 25)

(48 - 37) × 2 = 25 - 5

11 × 2 = 20

22 ≠ 20 (LHS ≠ RHS)

  • Option - (3) : (44, 20, 54)

(44 - 20) × 2 = 54 - 5

24 × 2 = 49

48 ≠ 49 (LHS ≠ RHS)

  • Option - (4) : (35, 22, 34)

(35 - 22) × 2 = 34 - 5

13 × 2 = 29

26 ≠ 29 (LHS ≠ RHS)

Hence, "Option - (1)" is the correct answer.

Select the set in which the numbers are related in the same way as are the numbers of the given sets.

(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.)

(12, 8, 20)

(7, 3, 15)

  1. (9, 4, 19)
  2. (10, 5, 45)
  3. (8, 5, 12)
  4. (11, 7, 17)

Answer (Detailed Solution Below)

Option 1 : (9, 4, 19)

Pattern Based Question 10 Detailed Solution

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The logic followed here is:

Logic: (First number* 3 - Second number*2 =  Third Number).

Now,

(12, 8, 20) ⇒ 12 * 3 - 8 * 2 = 36 - 16 = 20
(7, 3, 15) ⇒  7 * 3 - 3 * 2 = 21 - 6 = 15

Similarly,

(9, 4, 19) ⇒  9 * 3 - 4 * 2 = 27 - 8 = 19

Hence, the correct answer is 'Option 1'.

Study the given pattern carefully and select the number that can replace the question mark (?) in it.

(3, 9, 2)

(8, 6, 8)

(5, 3, ?)

(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)

  1. 22
  2. 13
  3. 10
  4. 5

Answer (Detailed Solution Below)

Option 3 : 10

Pattern Based Question 11 Detailed Solution

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Logic: (Second number ×  Third number)/6 = First number

(3, 9, 2) ⇒ (9 × 2) / 6 = 18/6 = 3= First Number

(8, 6, 8) ⇒ (6 × 8) / 6 = 48/6 = 8 = First Number

(5, 3, ?) 

⇒ (3 × ?) / 6 = 5

⇒  30 /3 = 10 

Hence, the correct answer 10.

Select the set In which the numbers are related In the same way as are the numbers of the following 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)

(47, 108, 169)

(22, 83, 144) 

  1. (11, 73, 133) 
  2. (51, 112, 173) 
  3. (33, 121, 181) 
  4. (8, 64, 130)  

Answer (Detailed Solution Below)

Option 2 : (51, 112, 173) 

Pattern Based Question 12 Detailed Solution

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The logic followed here is:

Logic: (2nd number × 2) - 1st number = 3rd number.

(47, 108, 169)

⇒ (108 × 2) - 47

⇒ 216 - 47 = 169.

(22, 83, 144) 

⇒ (83 × 2) - 22

⇒ 166 - 22 = 144.

Similarly, (51, 112, 173) 

⇒ (112 × 2) - 51

⇒ 224 - 51 = 173.

Hence, the correct answer is "Option 2".

Alternate Method

The logic followed here is :-

Second number = First number + 61 

Third number = First number + 122

  • (47, 108, 169) → (47, 47 + 61, 47 + 122)

and

  • (22, 83, 144) → (22, 22 + 61, 22 + 122)

Similarly,

  • (51, 112, 173) → (51, 51 + 61, 51 + 122)

Hence, the correct answer is "(51, 112, 173)".

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

(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)

(36, 24, 65)

(40, 54, 19)

  1. (10, 21, 321)
  2. (20, 18, 16)
  3. (13, 8, 98)
  4. (30, 14, 56)

Answer (Detailed Solution Below)

Option 2 : (20, 18, 16)

Pattern Based Question 13 Detailed Solution

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Given:

(36, 24, 65)

(40, 54, 19)

Logic: Third no. = [(First no. ÷ 4)2 - (Second no. ÷ 6)2]

(36, 24, 65) →

⇒ [(36 ÷ 4)2 - (24 ÷ 6)2]

⇒ [(9)2 - (4)2]

⇒ (81 - 16) = 65

(40, 54, 19) →

⇒ [(40 ÷ 4)2 - (54 ÷ 6)2]

⇒ [(10)2 - (9)2]

⇒ (100 - 81) = 19

Checking all the given options:

1. (10, 21, 321)

⇒ [(10 ÷ 4)2 - (21 ÷ 6)2]

⇒ [(2.5)2 - (3.5)2]

⇒ (6.25 - 12.25) = (-6)

2. (20, 18, 16)

⇒ [(20 ÷ 4)2 - (18 ÷ 6)2]

⇒ [(5)2 - (3)2]

⇒ (25 - 9) = 16

3. (13, 8, 98)

⇒ [(13 ÷ 4)2 - (8 ÷ 6)2]

⇒ [(3.25)2 - (1.33)2]

⇒ (10.56 - 1.77) = 8.78

4. (30, 14, 56)

⇒ [(30 ÷ 4)2 - (14 ÷ 6)2]

⇒ [(7.5)2 - (2.33)2]

⇒ (56.25 - 5.44) = 50.81

Here, (20, 18, 16) shows a similar relation to the given set of numbers.

Hence, the correct answer is "Option (2)".

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.

8 : 96 :: ? : 54 :: 12 : 216

  1. 8
  2. 6
  3. 10
  4. 4

Answer (Detailed Solution Below)

Option 2 : 6

Pattern Based Question 14 Detailed Solution

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The pattern followed here is:

Logic: [(First number × (First number ÷ 2)] × 3 = Second number.

1) 8 : 96

⇒ [(8 × (8 ÷ 2)] × 3 

[(8 × 4)] × 3

⇒ 32 × 3 = 96

And,

2) 12 : 216

⇒ [(12 × (12 ÷ 2)] × 3 

[(12 × 6)] × 3

⇒ 72 × 3 = 216

Similarly,

3) ? : 54

By option 6 is using.

⇒ [(6 × (6 ÷ 2)] × 3 

[(6 × 3)] × 3

⇒ 18 × 3 = 54

Hence, the correct answer is "6".

Select the set in which the numbers are related in the same way as are the numbers of the given sets.

(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)

(4, 5, 83)

(5, 5, 102)

  1. (8, 9, 330)
  2. (3, 3, 11)
  3. (7, 6, 170)
  4. (8, 3, 123)

Answer (Detailed Solution Below)

Option 4 : (8, 3, 123)

Pattern Based Question 15 Detailed Solution

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Logic : (1st number + 2nd number)2 + 2 = 3rd number

Given:

(i) (4, 5, 83)

⇒ (4 + 5)2 + 2 = 83

⇒ (9)2 + 2 = 83

⇒ 81 + 2 = 83

⇒ 83 = 83 (LHS = RHS)

(ii) (5, 5, 102)

⇒ (5 + 5)2 + 2 = 102

⇒ (10)2 + 2 = 102

⇒ 100 + 2 = 102

102 = 102 (LHS = RHS)

Option (1) :

​(8, 9, 330)

⇒ (8 + 9)+ 2 = 330

⇒ 289 + 2 = 330

⇒ 291 ≠ 330 (LHS ≠ RHS)

Option (2) :

(3, 3, 11)

⇒ (3 + 3)2 + 2 = 11

⇒ (6)2 + 2 = 11

⇒ 36 + 2 = 11

⇒ 38 ≠ 11 (LHS ≠ RHS)

Option (3) :

(7, 6, 170)

⇒ (7 + 6)2 + 2 = 170

⇒ (13)2 + 2 = 170

⇒ 169 + 2 = 170

⇒ 171 ≠ 170 (LHS ≠ RHS)

Option(4) :

​(8, 3, 123)

⇒ (8 + 3)2 + 2 = 123

112 + 2 = 123

⇒ 121 + 2 = 123

⇒ 123 = 123 (LHS = RHS)

Hence, "Option (4)" is the correct answer.

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