Suppose a, b, c, d and e are five consecutive odd numbers in ascending order. Consider the following statements ; 1. Their average is (a+ 4), 2. Their average is (^ + 2). 3. Their average is te-4). Which of the statements given above is/are correct?

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Q: 34 (CAPF/2018)
Suppose a, b, c, d and e are five consecutive odd numbers in ascending order. Consider the following statements ;
1. Their average is (a+ 4),
2. Their average is (^ + 2).
3. Their average is te-4).
Which of the statements given above is/are correct?

question_subject: 

Maths

question_exam: 

CAPF

stats: 

0,4,8,3,4,1,4

keywords: 

{'consecutive odd numbers': [0, 0, 0, 2], 'average': [1, 1, 0, 1], 'order': [6, 12, 34, 35]}

Option 1: The statement "Their average is (a + 4)" is incorrect. Since the numbers are consecutive odd numbers, the average should fall in the middle of the sequence. In this case, the average would be (a + c + e)/3 = a + 2.

Option 2: The statement "Their average is (^ + 2)" is correct. As explained above, the average of consecutive odd numbers is in the middle of the sequence. The middle number can be represented as (a + c + e)/3 = a + 2. Therefore, (^ + 2) represents the correct average.

Option 3: The statement "Their average is (^ - 4)" is incorrect. Again, the average of consecutive odd numbers should be in the middle of the sequence. Therefore, (^ - 4) does not represent the correct average.

In summary, option 2 is the only correct statement. The average of five consecutive odd numbers in ascending order can be represented as (^ + 2).

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