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How many pairs of consecutive odd positive integers, smaller than 18 and having their sum as more than 20, are possible?
- a)3
- b)5
- c)1
- d)2
Correct answer is option 'A'. Can you explain this answer?
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How many pairs of consecutive odd positive integers, smaller than 18 a...
To find the number of pairs of consecutive odd positive integers that are smaller than 18 and have a sum greater than 20, we can follow the steps below:
1. Identify the consecutive odd positive integers: The consecutive odd positive integers start from 1 and increment by 2. So, the consecutive odd positive integers smaller than 18 are: 1, 3, 5, 7, 9, 11, 13, 15, 17.
2. Find the pairs with a sum greater than 20: We need to find pairs of these consecutive odd positive integers whose sum is greater than 20. We can check all possible pairs and count the ones that satisfy this condition.
- Pair 1: 1 + 3 = 4 (sum is not greater than 20)
- Pair 2: 3 + 5 = 8 (sum is not greater than 20)
- Pair 3: 5 + 7 = 12 (sum is not greater than 20)
- Pair 4: 7 + 9 = 16 (sum is not greater than 20)
- Pair 5: 9 + 11 = 20 (sum is not greater than 20)
- Pair 6: 11 + 13 = 24 (sum is greater than 20)
- Pair 7: 13 + 15 = 28 (sum is greater than 20)
- Pair 8: 15 + 17 = 32 (sum is greater than 20)
3. Count the number of pairs: From the above calculations, we can see that there are 3 pairs of consecutive odd positive integers smaller than 18 whose sum is greater than 20.
Therefore, the correct answer is option A) 3.
1. Identify the consecutive odd positive integers: The consecutive odd positive integers start from 1 and increment by 2. So, the consecutive odd positive integers smaller than 18 are: 1, 3, 5, 7, 9, 11, 13, 15, 17.
2. Find the pairs with a sum greater than 20: We need to find pairs of these consecutive odd positive integers whose sum is greater than 20. We can check all possible pairs and count the ones that satisfy this condition.
- Pair 1: 1 + 3 = 4 (sum is not greater than 20)
- Pair 2: 3 + 5 = 8 (sum is not greater than 20)
- Pair 3: 5 + 7 = 12 (sum is not greater than 20)
- Pair 4: 7 + 9 = 16 (sum is not greater than 20)
- Pair 5: 9 + 11 = 20 (sum is not greater than 20)
- Pair 6: 11 + 13 = 24 (sum is greater than 20)
- Pair 7: 13 + 15 = 28 (sum is greater than 20)
- Pair 8: 15 + 17 = 32 (sum is greater than 20)
3. Count the number of pairs: From the above calculations, we can see that there are 3 pairs of consecutive odd positive integers smaller than 18 whose sum is greater than 20.
Therefore, the correct answer is option A) 3.
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How many pairs of consecutive odd positive integers, smaller than 18 and having their sum as more than 20, are possible?a)3b)5c)1d)2Correct answer is option 'A'. Can you explain this answer?
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How many pairs of consecutive odd positive integers, smaller than 18 and having their sum as more than 20, are possible?a)3b)5c)1d)2Correct answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about How many pairs of consecutive odd positive integers, smaller than 18 and having their sum as more than 20, are possible?a)3b)5c)1d)2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many pairs of consecutive odd positive integers, smaller than 18 and having their sum as more than 20, are possible?a)3b)5c)1d)2Correct answer is option 'A'. Can you explain this answer?.
How many pairs of consecutive odd positive integers, smaller than 18 and having their sum as more than 20, are possible?a)3b)5c)1d)2Correct answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about How many pairs of consecutive odd positive integers, smaller than 18 and having their sum as more than 20, are possible?a)3b)5c)1d)2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many pairs of consecutive odd positive integers, smaller than 18 and having their sum as more than 20, are possible?a)3b)5c)1d)2Correct answer is option 'A'. Can you explain this answer?.
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