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What is the sum of odd integers from 35 to 85, inclusive? A
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30 Jun 2020, 09:20
30 Jun 2020, 09:20
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88% (01:18) correct
11% (01:22) wrong based on 42 sessions
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What is the sum of odd integers from 35 to 85, inclusive?
A) 1,560
B) 1,500
C) 1,240
D) 1,120
E) 1,100
A) 1,560
B) 1,500
C) 1,240
D) 1,120
E) 1,100
Re: What is the sum of odd integers from 35 to 85, inclusive? A
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30 Jun 2020, 09:20
30 Jun 2020, 09:20
Expert Reply
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Re: What is the sum of odd integers from 35 to 85, inclusive? A
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30 Jun 2020, 09:46
30 Jun 2020, 09:46
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Carcass wrote:
What is the sum of odd integers from 35 to 85, inclusive?
A) 1,560
B) 1,500
C) 1,240
D) 1,120
E) 1,100
A) 1,560
B) 1,500
C) 1,240
D) 1,120
E) 1,100
One approach
We want: 35 + 37 + 39 + 41 + . . . . 79 + 81 + 83 + 85
Add the numbers in pairs, starting from the outside and working towards the middle, we get:
35 + 37 + 39 + 41 + . . . . 79 + 81 + 83 + 85 = (35 + 85) + (37 + 83) + (39 + 81) + . . .
= (120) + (120) + (120) + (120) + .....
= 120 times some integer
So, the desired sum must be DIVISIBLE by 120
Only one answer choice is divisible by 120
Answer: A
