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

Last updated on Jul 19, 2025

Latest Pattern Based MCQ Objective Questions

Pattern Based Question 1:

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.)

(43, 48, 5)
(49, 70, 21) 

  1.  (20, 34, 14)
  2. (45, 52, 4)
  3. (48, 71, 20)
  4.  (36, 52, 13)

Answer (Detailed Solution Below)

Option 1 :  (20, 34, 14)

Pattern Based Question 1 Detailed Solution

The logic followed here is:

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

For, (43, 48, 5)

⇒ 48 - 43 = 5.

For, (49, 70, 21)

⇒ 70 - 49 = 21.

Option 1) (20, 34, 14)

⇒ 34 - 20 = 14.

Here, logic followed.

Option 2) (45, 52, 4)

⇒ 52 - 45 = 7 ≠ 4.

Here, logic not followed.

Option 3) (48, 71, 20)

⇒ 71 - 48 = 23 ≠ 20.

Here, logic not followed.

Option 4) (36, 52, 13)

⇒ 52 - 36 = 16 ≠ 13.

Here, logic not followed.

Hence, the correct answer is "Option 1".

Pattern Based Question 2:

In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. 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.)
50, 4
80, 7

  1.  90, 11
  2.  60, 6
  3. 70, 6
  4.  100, 11

Answer (Detailed Solution Below)

Option 3 : 70, 6

Pattern Based Question 2 Detailed Solution

The logic followed here is:

Logic: The second number is obtained by dividing the first number by 10 and then subtracting 1 from the result.

i.e., 2nd number = (1st number ÷ 10) - 1

Let's verify this logic with the given pairs:

For (50, 4):

→ 1st number = 50

→ Check 2nd number: (50 ÷ 10) - 1 = 5 - 1 = 4

→ The given 2nd number is 4. The logic holds for the first pair.

For (80, 7):

→ 1st number = 80

→ Check 2nd number: (80 ÷ 10) - 1 = 8 - 1 = 7

→ The given 2nd number is 7. The logic holds for the second pair.

Now, let's apply this logic to the given options:

Option 1) (90, 11)

→ 1st number = 90

→ Check 2nd number: (90 ÷ 10) - 1 = 9 - 1 = 8

→ The given 2nd number is 11. Since 8 ≠ 11, this option does NOT follow the logic.

Option 2) (60, 6)

→ 1st number = 60

→ Check 2nd number: (60 ÷ 10) - 1 = 6 - 1 = 5

→ The given 2nd number is 6. Since 5 ≠ 6, this option does NOT follow the logic.

Option 3) (70, 6)

→ 1st number = 70

→ Check 2nd number: (70 ÷ 10) - 1 = 7 - 1 = 6

→ The given 2nd number is 6. This option follows the logic.

Option 4) (100, 11)

→ 1st number = 100

→ Check 2nd number: (100 ÷ 10) - 1 = 10 - 1 = 9

→ The given 2nd number is 11. Since 9 ≠ 11, this option does NOT follow the logic.

Hence, the correct answer is "Option 3".

Pattern Based Question 3:

 In the following triads, each group of letters is related to the subsequent one following a certain logic. Select from the given options, the one that follows the same logic.
 BEAN - EBAN - BANE
MAKE - AMKE - MKEA

  1. MACK - AMCK - MCKA
  2.  WORK - OWRK - KORW
  3. RACE - RCAE - ECAR
  4. NEAR - ENAR - EARN

Answer (Detailed Solution Below)

Option 1 : MACK - AMCK - MCKA

Pattern Based Question 3 Detailed Solution

The logic followed here is:

For,  BEAN - EBAN - BANE

For, MAKE - AMKE - MKEA

Similarly,

MACK - AMCK - MCKA

Hence, the correct answer "Option 1".

Pattern Based Question 4:

 In the following triads, each group of letters is related to the subsequent one following a certain logic. Select from the given options, the one that follows the same logic.
BAIL - ALIB - LIAB
DEAF - EFAD - FAED

  1. MEAN - MAEN - NAEM
  2. LEAN - ELAN - NEAL
  3. BOLD - ODLB - DLOB
  4. GOLD - ODLG - LGOD

Answer (Detailed Solution Below)

Option 3 : BOLD - ODLB - DLOB

Pattern Based Question 4 Detailed Solution

The logic followed here is:

Given: 

BAIL - ALIB - LIAB

And,

DEAF - EFAD - FAED

Similarly,

Option 3) BOLD - ODLB - DLOB

​​​

Hence, "Option 3" is the correct answer.

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.)
(33, 429, 13)
(44, 220, 5)

  1. (20, 363, 18)
  2. (4, 23, 5)
  3. (43, 903, 21)
  4. (30, 363, 12)

Answer (Detailed Solution Below)

Option 3 : (43, 903, 21)

Pattern Based Question 5 Detailed Solution

The logic followed here is:

(33, 429, 13) → 33 × 13 = 429

And,

(44, 220, 5) → 44 × 5 = 220

So, checking each option one by one:

Option 1) (20, 363, 18) → 20 × 18 = 360 ≠ 363

Option 2) (4, 23, 5) → 4 × 5 = 20 ≠ 23

Option 3) (43, 903, 21) → 43 × 21 = 903

Option 4) (30, 363, 12) → 30 × 12 = 360 ≠ 363

Hence, "Option 3" is the correct answer.

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 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 9 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'.

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 10 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.

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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