Answer :
To find the odd numbers between 50 and 60, let's first consider the numbers in this range: 51, 52, 53, 54, 55, 56, 57, 58, and 59.
Next, identify which of these numbers are odd. An odd number is any number that is not divisible evenly by 2, meaning it leaves a remainder of 1 when divided by 2.
- 51: Dividing by 2, we get 51 ÷ 2 = 25 with a remainder of 1, so 51 is odd.
- 52: Dividing by 2, we get 52 ÷ 2 = 26 with a remainder of 0, so 52 is not odd.
- 53: Dividing by 2, we get 53 ÷ 2 = 26 with a remainder of 1, so 53 is odd.
- 54: Dividing by 2, we get 54 ÷ 2 = 27 with a remainder of 0, so 54 is not odd.
- 55: Dividing by 2, we get 55 ÷ 2 = 27 with a remainder of 1, so 55 is odd.
- 56: Dividing by 2, we get 56 ÷ 2 = 28 with a remainder of 0, so 56 is not odd.
- 57: Dividing by 2, we get 57 ÷ 2 = 28 with a remainder of 1, so 57 is odd.
- 58: Dividing by 2, we get 58 ÷ 2 = 29 with a remainder of 0, so 58 is not odd.
- 59: Dividing by 2, we get 59 ÷ 2 = 29 with a remainder of 1, so 59 is odd.
Therefore, the odd numbers between 50 and 60 are 51, 53, 55, 57, and 59.
Now, let's match this set of numbers with the options given in the question:
Option (d) contains the numbers 51, 53, 55, 57, and 59, which are exactly the odd numbers in this range.
The correct answer is (d) 51, 53, 55, 57, 59.
Next, identify which of these numbers are odd. An odd number is any number that is not divisible evenly by 2, meaning it leaves a remainder of 1 when divided by 2.
- 51: Dividing by 2, we get 51 ÷ 2 = 25 with a remainder of 1, so 51 is odd.
- 52: Dividing by 2, we get 52 ÷ 2 = 26 with a remainder of 0, so 52 is not odd.
- 53: Dividing by 2, we get 53 ÷ 2 = 26 with a remainder of 1, so 53 is odd.
- 54: Dividing by 2, we get 54 ÷ 2 = 27 with a remainder of 0, so 54 is not odd.
- 55: Dividing by 2, we get 55 ÷ 2 = 27 with a remainder of 1, so 55 is odd.
- 56: Dividing by 2, we get 56 ÷ 2 = 28 with a remainder of 0, so 56 is not odd.
- 57: Dividing by 2, we get 57 ÷ 2 = 28 with a remainder of 1, so 57 is odd.
- 58: Dividing by 2, we get 58 ÷ 2 = 29 with a remainder of 0, so 58 is not odd.
- 59: Dividing by 2, we get 59 ÷ 2 = 29 with a remainder of 1, so 59 is odd.
Therefore, the odd numbers between 50 and 60 are 51, 53, 55, 57, and 59.
Now, let's match this set of numbers with the options given in the question:
Option (d) contains the numbers 51, 53, 55, 57, and 59, which are exactly the odd numbers in this range.
The correct answer is (d) 51, 53, 55, 57, 59.
