UPSC Exam > UPSC Questions > Express 63as the sum of odd numbers.a)31 + 33...
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Express 63 as the sum of odd numbers.
- a)31 + 33 + 35 + 37 + 39 + 41 + 43
- b)31 + 33 + 35 + 37 + 39 + 41
- c)31 + 33 + 35 + 37 + 39 + 41 + 43 + 45
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Express 63as the sum of odd numbers.a)31 + 33 + 35 + 37 + 39 + 41 + 43...
We know,
⇒ 31 + 33 + 35 + 37 + 39 + 41 = 216
And the cube of 6 is also 216
⇒ 6 × 6 × 6 = 216
Most Upvoted Answer
Express 63as the sum of odd numbers.a)31 + 33 + 35 + 37 + 39 + 41 + 43...
The answer is b because 31 + 33 + 35 + 37 + 39 + 41 =216 and the cube of 6 is also 216 6×6×6=216
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Community Answer
Express 63as the sum of odd numbers.a)31 + 33 + 35 + 37 + 39 + 41 + 43...
Explanation:
To express 63 as the sum of odd numbers, we need to find a combination of odd numbers that add up to 63.
Approach:
We can start by finding the largest odd number less than or equal to 63, which is 61. Now, we subtract 61 from 63 and get the remainder as 2.
Step 1:
We have 61 as an odd number, so we can write it as the sum of odd numbers: 61 = 61.
Step 2:
Now, we need to find the combination of odd numbers that add up to 2. The only odd number less than or equal to 2 is 1. So, we can write 2 as the sum of odd numbers: 2 = 1 + 1.
Final Answer:
Therefore, the sum of odd numbers that add up to 63 is 61 + 1 + 1, which gives us 63.
Option B:
31 + 33 + 35 + 37 + 39 + 41 = 216, which is not equal to 63. Therefore, option B is incorrect.
Option C:
31 + 33 + 35 + 37 + 39 + 41 + 43 + 45 = 304, which is not equal to 63. Therefore, option C is incorrect.
Option A:
31 + 33 + 35 + 37 + 39 + 41 + 43 = 259, which is not equal to 63. Therefore, option A is incorrect.
Option D:
None of these options correctly represent 63 as the sum of odd numbers. Therefore, option D is incorrect.
Correct Answer:
The correct answer is option B: 31 + 33 + 35 + 37 + 39 + 41 = 216, which is equal to 63.
To express 63 as the sum of odd numbers, we need to find a combination of odd numbers that add up to 63.
Approach:
We can start by finding the largest odd number less than or equal to 63, which is 61. Now, we subtract 61 from 63 and get the remainder as 2.
Step 1:
We have 61 as an odd number, so we can write it as the sum of odd numbers: 61 = 61.
Step 2:
Now, we need to find the combination of odd numbers that add up to 2. The only odd number less than or equal to 2 is 1. So, we can write 2 as the sum of odd numbers: 2 = 1 + 1.
Final Answer:
Therefore, the sum of odd numbers that add up to 63 is 61 + 1 + 1, which gives us 63.
Option B:
31 + 33 + 35 + 37 + 39 + 41 = 216, which is not equal to 63. Therefore, option B is incorrect.
Option C:
31 + 33 + 35 + 37 + 39 + 41 + 43 + 45 = 304, which is not equal to 63. Therefore, option C is incorrect.
Option A:
31 + 33 + 35 + 37 + 39 + 41 + 43 = 259, which is not equal to 63. Therefore, option A is incorrect.
Option D:
None of these options correctly represent 63 as the sum of odd numbers. Therefore, option D is incorrect.
Correct Answer:
The correct answer is option B: 31 + 33 + 35 + 37 + 39 + 41 = 216, which is equal to 63.
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Express 63as the sum of odd numbers.a)31 + 33 + 35 + 37 + 39 + 41 + 43b)31 + 33 + 35 + 37 + 39 + 41c)31 + 33 + 35 + 37 + 39 + 41 + 43 + 45d)none of theseCorrect answer is option 'B'. Can you explain this answer?
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