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Bunuel
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500-300/13=~15
Option C

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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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Bunuel
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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Bunuel
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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Hi ScottTargetTestPrep,

How did you figure out the smallest and the largest multiples of 13?
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debabhs
Hi ScottTargetTestPrep,

How did you figure out the smallest and the largest multiples of 13?
300/13 will give remainder 1, therefore 300 - 1 = 299 is divisible by 13, and 299 + 13 = 312 is divisible by 13

500/13 will give remainder 6, therefore 500 - 6 = 494 is divisible by 13
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Oh great, this really helps! Thanks Krunaal
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