R, S, & T all have the same remainder when divided by 5.
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Answer [spoiler]{C}[/spoiler]
r = 5A + R
s = 5B + R
t = 5C + R
Statement 1:
5A + R + 5B + R = 5C + R
2R = R (since 5A,5B & 5C are divisible by 5.. so removing)
R = 0
That means t is 5 Multiple.. but we dont know which value..
INSUFFICIENT
Statement 2:
no info of r and s so "t" can take any value..
INSUFFICIENT
Combining....
20
r = 5A + R
s = 5B + R
t = 5C + R
Statement 1:
5A + R + 5B + R = 5C + R
2R = R (since 5A,5B & 5C are divisible by 5.. so removing)
R = 0
That means t is 5 Multiple.. but we dont know which value..
INSUFFICIENT
Statement 2:
no info of r and s so "t" can take any value..
INSUFFICIENT
Combining....
20
R A H U L
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Since r, s, and t all have a remainder of R when divided by 5, they must ALL be contained in ONE of the following lists:
Case 1: R=0
0, 5, 10, 15, 20, 25...
Case 2: R=1
1, 6, 11, 16, 21, 26...
Case 3: R=2
2, 7, 12, 17, 22, 27...
Case 4: R=3
3, 8, 13, 18, 23, 28...
Case 5: R=4
4, 9, 14, 19, 24, 29...
Statement 1: r+s = t
Only Case 1 is viable.
No combination of values from the remaining cases will satisfy the constraint that r+s = t.
In Case 1, it's possible that r=5. s=5, and t=10.
In Case 1, it's possible that r=5, s=10, and t=15.
Since t can take on different values, INSUFFICIENT.
Statement 2: 20 ≤ t ≤ 24
In Case 1, it's possible that t=20.
In Case 2, it's possible that t=21.
Since t can take on different values, INSUFFICIENT.
Statements combined:
Only one value in Case 1 satisfies the constraint that t is between 20 and 24, inclusive: t=20.
SUFFICIENT.
The correct answer is C.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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