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04 Jan 2021, 04:42
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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:
15%
(low)
Question Stats:
79% (01:16) correct
21%
(01:00)
wrong
based on 140
sessions
History
Date
Time
Result
Not Attempted Yet
\(10^{25} - 7\) is divisible by____
I. 2
II. 3
III. 9
A. I only
B. II only
C. I and II only
D. II and III only
E. I, II, and III
I. 2
II. 3
III. 9
A. I only
B. II only
C. I and II only
D. II and III only
E. I, II, and III
rocky620
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Joined: 10 Nov 2018
Last visit: 11 May 2023
Posts: 482
Given Kudos: 229
Location: India
Concentration: General Management, Strategy
Schools: IIMA PGPX'22 IIMB EPGP'22 IIMC PGPEX'22 ISB'22
GMAT 1: 590 Q49 V22
WE:Other (Retail: E-commerce)
04 Jan 2021, 04:49
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Last digit of 10^25 - 7 will be 3, and rest all digits will be 9.
So, it will only be divisible by 3.
Option B
So, it will only be divisible by 3.
Option B
04 Jan 2021, 08:15
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Bunuel
\(10^{25} - 7 = 9999999........993\)
So, we have 24 Nines and 3 in the end....
Check the last 2 digits, the answer result must be divisible by (II) 3 only, Answer
