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Kaushik786
Joined: 20 May 2018
Last visit: 13 Dec 2023
Posts: 71
Given Kudos: 71
Location: India
Schools: Booth '22 Anderson '22 CBS '22 Johnson '22
GMAT 1: 740 Q50 V41
15 Nov 2021, 04:15
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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Question Stats:
69% (02:06) correct
31%
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based on 326
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Integer s is equivalent to the sum of all the even multiples of 25 between 585 and 825, inclusive. What is the greatest prime factor of s?
A. 19
B. 11
C. 7
D. 5
E. 3
A. 19
B. 11
C. 7
D. 5
E. 3
15 Nov 2021, 05:02
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Kaushik786
Integer s is equivalent to the sum of all the even multiples of 25 between 585 and 825, inclusive. What is the greatest prime factor of s?
A. 19
B. 11
C. 7
D. 5
E. 3
A. 19
B. 11
C. 7
D. 5
E. 3
Even multiples of 25 means multiples of 50.
Multiples of 50 between 585 and 825 are 600, 650, 700, 750 and 800.
Sum of these multiples = 600+650+700+750+800 = 3500 = 7*5*5*5*2*2
Greatest prime factor, therefore, is 7.
C
20 May 2025, 11:18
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Even multiple of 25: 600 650 --- 800
Sum = n(a+l)/2
n= 25*24 ---25* 32
= 32-24 +1 = 5
Sum = 5/2*(600+800)
Sum = 3500
Reducing to prime factors, 7 is the highest prime factor.
Sum = n(a+l)/2
n= 25*24 ---25* 32
= 32-24 +1 = 5
Sum = 5/2*(600+800)
Sum = 3500
Reducing to prime factors, 7 is the highest prime factor.
