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02 Apr 2018, 02:23
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
72% (02:11) correct
28%
(02:31)
wrong
based on 714
sessions
History
Date
Time
Result
Not Attempted Yet
What is the value of \(7 + 6*7 + 6*7^2 + 6*7^3 + 6*7^4 + 6*7^5 + 6*7^6\)?
(A) 6^7
(B) 6^9
(C) 7^7
(D) 7^8
(E) 7^9
(A) 6^7
(B) 6^9
(C) 7^7
(D) 7^8
(E) 7^9
eabhgoy
Joined: 12 Apr 2011
Last visit: 14 Jan 2021
Posts: 112
Given Kudos: 85
Location: United Arab Emirates
Concentration: Strategy, Marketing
Schools: CBS '21 Yale '21 INSEAD Jan'21 Intake IMD '21 (A)
GMAT 1: 670 Q50 V31
GMAT 2: 720 Q50 V37
GPA: 3.2
WE:Marketing (Telecommunications)
11 Feb 2019, 11:45
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Bunuel
We can re-write the above equation in terms of 7:
7 + 6*7 + 6*7^2 + 6*7^3 + 6*7^4 + 6*7^5 + 6*7^6
= 7 + (7-1)*7 + (7-1)*7^2 + (7-1)*7^3 + (7-1)*7^4 + (7-1)*7^5 + (7-1)*7^6
= 7 + 7^2 - 7 + 7^3 - 7^2 + 7^4 - 7^3 + 7^5 - 7^4 + 7^6 - 7^5 + 7^7 - 7^6
= 7^7
Hence C is the correct answer.
11 Jun 2018, 18:21
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One of the other method we could do this is as follows.
What is the value of 7+6∗7+6∗7^2 +6∗7^3 +6∗7^4 +6∗7^5 +6∗7^6 ?
(A) 6^7
(B) 6^9
(C) 7^7
(D) 7^8
(E) 7^9
By just comparing last digit of question vs answer choices.
question last digits = 7+2+4+8+6+2+4 = 3 (3 would be the last digit of all equation provided)
Looking at answers only (C) gets last digit 3. thus, Answer is (C)
What is the value of 7+6∗7+6∗7^2 +6∗7^3 +6∗7^4 +6∗7^5 +6∗7^6 ?
(A) 6^7
(B) 6^9
(C) 7^7
(D) 7^8
(E) 7^9
By just comparing last digit of question vs answer choices.
question last digits = 7+2+4+8+6+2+4 = 3 (3 would be the last digit of all equation provided)
Looking at answers only (C) gets last digit 3. thus, Answer is (C)
