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What is the range of 29 consecutive even numbers?

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What is the range of 29 consecutive even numbers? [#permalink]

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New post 06 Feb 2018, 01:23
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[GMAT math practice question]

What is the range of 29 consecutive even numbers?

A. 56
B. 58
C. 60
D. 62
E. 64
[Reveal] Spoiler: OA

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Re: What is the range of 29 consecutive even numbers? [#permalink]

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New post 06 Feb 2018, 01:53
I think the question should read-what is range of first 29 consecutive even integers?

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Re: What is the range of 29 consecutive even numbers? [#permalink]

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New post 06 Feb 2018, 02:09
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Sasindran wrote:
I think the question should read-what is range of first 29 consecutive even integers?

Posted from my mobile device


Hey Sasindran,

The range will remain the same, even if the consecutive numbers are
not the first 29 even numbers(as far as they are consecutive).

Coming back to the question

If the first even number is a, the 29th even number will be a + 2*28 = a+56

Therefore, the range of these numbers is a + 56 - a = 56(Option A)
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Re: What is the range of 29 consecutive even numbers? [#permalink]

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New post 06 Feb 2018, 02:11
pushpitkc wrote:
Sasindran wrote:
I think the question should read-what is range of first 29 consecutive even integers?

Posted from my mobile device


Hey Sasindran,

The range will remain the same, even if the consecutive numbers are
not the first 29 even numbers(as far as they are consecutive).

Coming back to the question

If the first even number is a, the 29th even number will be a + 2*28 = a+56

Therefore, the range of these numbers is a + 56 - a = 56(Option A)


Got it now. Thanks
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Re: What is the range of 29 consecutive even numbers? [#permalink]

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New post 08 Feb 2018, 01:11
=>

The number of consecutive even integers is (the last term(L) – the first term(F))/2 + 1 and its range is L-F. Now, Range / 2 + 1 = (L-F)/2 + 1 = 29. So, Range / 2 = 28, and, hence, Range = 56

Therefore, the answer is A.

Answer: A
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Re: What is the range of 29 consecutive even numbers? [#permalink]

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New post 08 Feb 2018, 16:52
MathRevolution wrote:
[GMAT math practice question]

What is the range of 29 consecutive even numbers?

A. 56
B. 58
C. 60
D. 62
E. 64


If the first even number = x, then the second even number = x + 2, or x + 2(1), the third = x + 4, or x + 2(2), the fourth = x + 6, or x + 2(3). Thus, the last even number, or the 29th even number, is x + 2(28) = x + 56. Therefore, the range is:

(x + 56) - x = 56

Answer: A
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Re: What is the range of 29 consecutive even numbers? [#permalink]

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New post 11 Feb 2018, 21:58
we have to find range of 29 EVEN NOS(2,4,6,...)
SO A1=2 ,N=29 ,D=2
A29=A1 + (N-1)D= 2+(29-1)2= 58

range = A29-A1=58-2=56
(A)
Re: What is the range of 29 consecutive even numbers?   [#permalink] 11 Feb 2018, 21:58
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