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How many number between 300 and 500 are divisible by 13 ?
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Bunuel
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How many number between 300 and 500 are divisible by 13 ? [#permalink] New post  05 Sep 2019, 04:58
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How many number between 300 and 500 are divisible by 13 ?

A. 13
B. 14
C. 15
D. 16
E. 17
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therealyoyo
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Re: How many number between 300 and 500 are divisible by 13 ? [#permalink] New post  05 Sep 2019, 05:17
500 : 13 = 38,4
300 : 13 = 23,7

38,4-23,7 = 14,7

Answer B
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stne
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Re: How many number between 300 and 500 are divisible by 13 ? [#permalink] New post  05 Sep 2019, 07:52
therealyoyo wrote:
500 : 13 = 38,4
300 : 13 = 23,7

38,4-23,7 = 14,7

Answer B


Hi therealyoyo,

You almost got it!( Note: It says Between )

13*24=312 First number
13*38=494 Last number
Hence total numbers inclusive ->38-24+1= 15
IMO - Ans: C
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Re: How many number between 300 and 500 are divisible by 13 ? [#permalink] New post  05 Sep 2019, 10:30
500-300/13=~15
Option C

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Re: How many number between 300 and 500 are divisible by 13 ? [#permalink] New post  05 Sep 2019, 12:23
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Find: nos. divisible by 13 between 300 and 500
Approach: Use AP
a1 = 312, an = 494
494 = 312 + (n-1)13
182 = 13(n-1)
n-1 = 14
n = 15

ans is C
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Re: How many number between 300 and 500 are divisible by 13 ? [#permalink] New post  08 Sep 2019, 05:53
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Bunuel wrote:
How many number between 300 and 500 are divisible by 13 ?

A. 13
B. 14
C. 15
D. 16
E. 17


In this interval, the largest multiple of 13 is 494, and the smallest is 312. Thus, the number of numbers between 300 and 500 that are divisible by 13 is:

(494 - 312)/13 + 1 = 182/13 + 1 = 15

Answer: C
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How many number between 300 and 500 are divisible by 13 ? [#permalink] New post  08 Sep 2019, 06:06
Bunuel wrote:
How many number between 300 and 500 are divisible by 13 ?

A. 13
B. 14
C. 15
D. 16
E. 17


Asked: How many number between 300 and 500 are divisible by 13 ?

13*24 = 312 is the first number = a
13*38= 494 is the last number = l
of an arithmetic progression with d = 13

n-1 = (l-a)/d = 14
n = 15

IMO C
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How many number between 300 and 500 are divisible by 13 ? [#permalink]
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