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22 May 2020, 02:59
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
52% (02:49) correct
48%
(02:58)
wrong
based on 148
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If T is a prime number, what is the remainder when T is divided by 3?
(1) (T – 13)^3 is divisible by 48
(2) 4T – 3 leaves a remainder 1 when divided by 18
Are You Up For the Challenge: 700 Level Questions
(1) (T – 13)^3 is divisible by 48
(2) 4T – 3 leaves a remainder 1 when divided by 18
Are You Up For the Challenge: 700 Level Questions
ArunSharma12
Joined: 25 Oct 2015
Last visit: 20 Jul 2022
Posts: 513
Given Kudos: 74
Location: India
Schools: IIML-IPMX '22 (A)
GMAT 1: 650 Q48 V31
GMAT 2: 720 Q49 V38 (Online)
GPA: 4
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22 May 2020, 10:16
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Bunuel
If T is a prime number, what is the remainder when T is divided by 3?
(1) (T – 13)^3 is divisible by 48
(2) 4T – 3 leaves a remainder 1 when divided by 18
(1) (T – 13)^3 is divisible by 48
(2) 4T – 3 leaves a remainder 1 when divided by 18
Given: T is a prime number.
T= 3k + r. what is the value of r.
statement 1:
\((T-13)^3 = 48*k\)
\((T-13)^3 = 2^4*3*k\); if x^3 has a 3 then x should also have a 3
T-13 = 3*k
T = 3*k + 13
T = 3*k + 12 + 1
T = 3*(k+4) + 1
sufficient
statement 2:
4T – 3 = 18*k + 1
4T = 3*6k + 1 + 3
4T = 3*(k+1) + 1; 4 leaves a remainder 1 so T should also leave remainder 1 for 4T to leave remainder 1 when divided by 3
sufficient
Ans: D
General Discussion
22 May 2020, 23:27
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See the attachment. Answer A
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