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

The logic follows here is:-

Square root of each number gives a prime number, except 9.

Let's check each option:-

1) 121 = (11)² . Here 11 is prime number.

2) 81 = (9)2 . Here 9 is not prime number.

3) 169 = (13)2 . Here 13 is prime number.

4) 49 = (7)2 . Here 7 is prime number.

Hence, '81' is odd number among given alternatives.

Here the logic is:

All options are cube of a perfect number but option 3 is not a cube of perfect number.

1) 125 → ∛125 → 5

2) 729 → ∛729 → 9

3) 1321 → ∛1321 → 10.96

4) 343 → ∛343 → 7

Hence, ‘1321’ is the correct answer

The logic is here is:

Ratio of first number to second number is equal to 1/7.

Option (1): (16, 112)

16 / 112 = 1 / 7

Option (2): (15, 105)

15 / 105 = 1 / 7

Option (3): (18, 128)

18 / 128 = 9 / 64

Option (4): (17, 119)

17 / 119 = 1 / 7

The option (3) is ratio not equal to other option.

Hence, pair (18, 128) is an odd one.

Alternate MethodThe logic followed here is:

The second number is the completely divisible by the first number.

Option (1): (16, 112) → 112 is divisible by 16.

Option(2): (15, 105) → 105 is divisible by 15.

Option(3): (18, 128) → 128 is not divisible by 18.

Option(4): (17, 119) → 119 is divisible by 17.

In the above options, the 2nd number is completely divided by the 1st number.

In option (3), does not follow the pattern.

Hence, pair (18, 128) is an odd one.

The logic followed here is:

• 52 : 59
• 5 + 2 = 7
• (7) + 52 = 59

Option 1

66 : 72

6 + 6 = 12

(12)+ 66 ≠ 72 

78 ≠ 72

Option 2

88 : 116

8 + 8 = 16

(16) + 88 ≠ 116

104 ≠ 115

Option 3

46 : 94

4 + 6 = 10

(10) + 46 ≠ 94

56 ≠ 94

Option 4

66 : 78

6 + 6 = 12

(12) + 66 = 78

Hence, the correct answer is "Option 4".

The pattern followed here is,

For,

78 : 64

(First Digit of the first number) - 1 and half of the second number = 64 

(7 - 1) (8 ÷ 2) 

64 = 64.

Similarly,

(1) 87 : 64

(8 - 1) (7 ÷ 2)

7 (3.5) 

63.5 ≠ 64.

(2) 84 : 56

(8 - 1) (4 ÷ 2)

72 ≠ 56

(3) 88: 74

(8 - 1) 8 ÷ 2

74 = 74 

(4) 76 : 64

(7 - 1) (6  ÷ 2)

63 ≠ 64

Hence, the correct answer is "68 : 54".

The logic followed here is:

All the numbers except option (3), the given numbers are the multiple of 11. 

Option1: 2321 → Multiple of 11

Option2: 825 → Multiple of 11

Option3: 1521 → Not a multiple of 11

Option4: 968 → Multiple of 11

Therefore, 1521 is the odd one option.

Important Points

• The priority will always be the prime number in the exams.
• There are some standard rules which need to be followed while selecting the priority.
• priority lists to be followed in exams according to their preferences are:

1. Prime number.
2. Square.
3. Cube.
4. Multiplication and divisions
5. Addition and subtraction.

• A prime number can be divided, without a remainder, only by itself and by 1.
• Some facts about the Prime numbers:

1. The only even prime number is 2. All other even numbers can be divided by 2.
2. If the sum of a number's digits is a multiple of 3, that number can be divided by 3.
3. No prime number greater than 5 ends in a 5. Any number greater than 5 that ends in a 5 can be divided by 5.
4. Zero and 1 are not considered prime numbers.
5. Except for 0 and 1, a number is either a prime number or a composite number. A composite number is defined as any number, greater than 1, that is not prime.

The logic followed here is :-

5 ∶ 105 → \({5^3 - 5^2}\) → 125 - 25 = 100

6 ∶ 180 → \({6^3 - 6^2}\) → 216 - 36 = 180

7 ∶ 294 → \({7^3 - 7^2}\) → 343 - 49 = 294

4 ∶ 48 → \({4^3 - 4^2}\) → 64 - 16 = 48

Hence, 5 ∶ 105 is different from other three alternatives.

Thus, the correct answer is "5 ∶ 105".

The pattern followed here is,

Option 1 → 5² + 4² + 8² = 105

Option 2 → 1² + 1² + 3² = 11 ≠ 15

Option 3 → 1² + 6² + 6² = 73

Option 4 → 3² + 1² + 6² = 46

All option follows the same pattern, except ‘113 - 15’

The pattern followed here is,

Second Number = First number × 2

Third Number = Second number + 17

Option (1): (12, 24, 41) → 

12 × 2 = 24

24 + 17 = 41

Option (2):  (13, 26, 43) → 

13 × 2 = 26

26 + 17 = 43

Option (3): (16, 32, 49) → 

16 × 2 = 32

32 + 17 = 49

Option (4): (17, 34, 53) → 

17 × 2 = 34

34 + 17 = 51 ≠ 53

Hence, "(17, 34, 53)" is the odd one out.

The logic followed here is: 

Let us go through the options: 

option 1) 

Here 32 x 32 is  equal to 1024.

option 2) 

Here 28 x 28 is  equal to 784. 

Option 3)

Here 36 x 36 is not equal to 1620.It is 1296.

option 4) 

Here 24 x 24 is equal to 576.

Hence, "18:1620" is the correct answer.

The pattern followed is:

94 → reverse 49 → 7²

63 → reverse 36 → 62

35 → reverse 53 → no square

18 → reverse 81 → 92

Hence, the correct answer is "35".

The pattern followed here is,

28 = 7 × 4 

44 = 11 × 4

68 = 17 × 4

80 = 20 × 4

92 = 23 × 4 

Except 80, all the odd multiples of 4.

Hence, 80 is odd among given. 

NOTE: This Question was Asked in the Official examination and the answer marked here is the official answer given by the exam conducting authority. There can be multiple answers possible by different logics. Here, the answer given in the official exam is followed.

The logic is:

(25, 18, 225) → (25 × 18) ÷ 2 = 450 ÷ 2 = 225 

Similarly,

(24, 22, 264) → (24 × 22) ÷ 2 = 528 ÷ 2 = 264 

Hence, ‘(24, 22, 264)’ is the correct answer.

The logic followed here is:

Logic: 1st number ÷ 9 = 2nd number.

Now, checking the options:

Option 1) 28125 – 3125 → 28125 ÷ 9 = 3125.

Option 2) 11322 – 1258 → 11322 ÷ 9 = 1258.

Option 3) 49374 – 5483 → 49374 ÷ 9 = 5486 ≠ 5483.

Option 4) 49401 – 5489 → 49401 ÷ 9 = 5489.

So, '49374 – 5483' odd among the given options.

Hence, the correct answer is "Option 3".

The logic is:

1) 5 : 26 → 5 : 5² + 1

2) 13 : 175 → 13 : 13² + 1 ≠ 175

3) 4 : 17 → 4 : 4² + 1

4) 11 : 122 → 11 : 11² + 1

Hence, '13 : 175' is the odd one out.