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# How many odd integers are between 10/3 and 62/3 ?

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Math Expert
Joined: 02 Sep 2009
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How many odd integers are between 10/3 and 62/3 ?  [#permalink]

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24 Dec 2018, 20:34
00:00

Difficulty:

15% (low)

Question Stats:

80% (01:01) correct 20% (01:06) wrong based on 45 sessions

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How many odd integers are between 10/3 and 62/3 ?

A. Nineteen
B. Eighteen
C. Ten
D. Nine
E. Eight

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Re: How many odd integers are between 10/3 and 62/3 ?  [#permalink]

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24 Dec 2018, 20:45
2
10/3 = 3.33
62/3 = 20.67

The question asks how many integers between 3 & 21.
First Term = 5
Last Term = 19
d = 2
Tn = a+(n-1)d
19 = 5+ (n-1)2
14 = (n-1)2
n = 8

Option E is Correct
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Re: How many odd integers are between 10/3 and 62/3 ?  [#permalink]

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24 Dec 2018, 20:49
$$\frac{10}{3} = 3.33..$$

$$\frac{62}{3} = 20.66..$$

No. of odd integers between 3.33 and 20.66 is 8 (5,7,9,11,13,15,17,19)

OPTION: E
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Re: How many odd integers are between 10/3 and 62/3 ?  [#permalink]

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25 Dec 2018, 02:48
Bunuel wrote:
How many odd integers are between 10/3 and 62/3 ?

A. Nineteen
B. Eighteen
C. Ten
D. Nine
E. Eight

62/3 and 10/3 = 20.33 and 3.33
difference = 17.3 half would be odd
8 odd and 8 even integers are only to be counted
IMO E
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Re: How many odd integers are between 10/3 and 62/3 ?   [#permalink] 25 Dec 2018, 02:48
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