1
Question
The sum of four consecutive two-digit odd numbers, when divided by 10, becomes a perfect square. Which of the following can possibly be one of these four members?
The sum of four consecutive two-digit odd numbers, when divided by 10, becomes a perfect square. Which of the following can possibly be one of these four members?
Open in App
Solution
The correct option is C 41
Sum of 4 consecutive odd numbers should result in a zero in the end, so as to be divisible by 10.
This happens in 7+9+1+3. Using options, we find that four consecutive odd numbers are 37, 39, 41 and 43, as the sum of these 4 numbers is 160. When divided by 10, we get 16 which is a perfect square.
Thus, 41 is one of the odd numbers.
Sum of 4 consecutive odd numbers should result in a zero in the end, so as to be divisible by 10.
This happens in 7+9+1+3. Using options, we find that four consecutive odd numbers are 37, 39, 41 and 43, as the sum of these 4 numbers is 160. When divided by 10, we get 16 which is a perfect square.
Thus, 41 is one of the odd numbers.
Suggest Corrections
8
Similar questions
View More
Join BYJU'S Learning Program
Explore more
Join BYJU'S Learning Program
