Test: Odd Man Out- 1 - CLAT MCQ

The numbers 3, 5, and 9 are all odd, while 4 is the only even number in the group. Therefore:

• Odd numbers: 3, 5, 9
• Even number: 4

Thus, 4 does not belong to the group of odd numbers.

37, 47, and 67 are prime numbers, but 27 is not a prime number because it can be divided by 3:

• 27 ÷ 3 = 9

Therefore, the number that does not belong in the group is 27.

Among the given numbers, the following are perfect squares:

• 16 (4²)
• 36 (6²)
• 64 (8²)

However, 28 is not a perfect square because there is no integer that multiplies by itself to give 28. Therefore, 28 does not belong to the group of perfect squares.

All the numbers provided (41, 43, 47, and 53) are prime numbers. Since none of them are non-prime, there is no correct answer among the given options.

36 = 6², 49 = 7², 64 = 8², 81 = 9² and 100 = 10².

36, 64, 81 and 100 are squares of composite numbers, but 49 is a square of prime number 7.

8 = 2³, 27 = 3³, 64 = 4³, 125 = 5³ and 343 = 7³.

8, 27, 125 and 343 are cubes of prime numbers but not 64.

343 = 7³, 121 = 11², 1331 = 11³, 2197 = 13³ and 125 = 5³.

343, 1331, 2197 and 125 are perfect cubes, but not 121.

The numbers 48, 75, and 84 are all divisible by 3 because the sum of their digits is a multiple of 3. However, 35 is not divisible by 3. Therefore, 35 does not belong to the group.

• 48: 4 + 8 = 12 (divisible by 3)
• 75: 7 + 5 = 12 (divisible by 3)
• 84: 8 + 4 = 12 (divisible by 3)
• 35: 3 + 5 = 8 (not divisible by 3)

42624, 37573, 74347 and 93339 are palindromes but not 84284.

The numbers 27, 36, and 45 are all divisible by 9. Specifically:

• 27 ÷ 9 = 3
• 36 ÷ 9 = 4
• 45 ÷ 9 = 5

However, 30 is not divisible by 9 because:

• 30 ÷ 9 ≈ 3.333..., which is not a whole number.

Therefore, 30 does not belong to the group of numbers divisible by 9.

Except 4242, all other numbers are divisible by 11.

20 = 4² + 4, 42 = 6² + 6, 58 = 7² + 9, 72 = 8² + 8 and 90 = 9² + 9.

20, 42, 72 and 90 can be expressed in n² + n form but not 58.

30 = 3³ + 3, 630 = 5⁴ + 5, 10 = 2³ + 2, 520 = 8³ + 8 and 130 = 5³ + 5.

30, 10, 130 and 520 can be expressed as n³ + n but not 630.

The sum of the digits in 508, 328, 706 and 148 is 13, but not in 608.

Except in 862, in all other numbers sum of first two digits is same as the last digit.

525 => 5 5²,

39 => 3 3²,

24 => 2 2²,

636 => 6 6². The above pattern is not followed in 426.

11 = 1 1³, 28 = 2 2³, 327 = 3 3³, 416 = 4 4² and 5125 = 5 5³

Except 416, other numbers follow similar pattern.

Except for 132, all other numbers (123, 231, 321) are odd numbers.

The number 132 is even because it ends with an even digit (2). Therefore:

• 132 does not belong to the group of odd numbers.

Among the given numbers, 104, 108, and 112 are all divisible by 4 without any remainder:

• 104 ÷ 4 = 26
• 108 ÷ 4 = 27
• 112 ÷ 4 = 28

However, 110 is not divisible by 4 evenly, as dividing it by 4 results in a decimal value:

• 110 ÷ 4 = 27.5

This confirms that 110 does not belong to the group.

Among the given options, A, E, and I are vowels in the English language, while R is a consonant.

Therefore, R does not belong to the group of vowels.