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31 May 2024, 03:09
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P: 8
Q: 5
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
61% (01:50) correct
39%
(02:47)
wrong
based on 1499
sessions
History
Date
Time
Result
Not Attempted Yet
Let S be the set of all 7-digit numbers N such that the sum of the digits of N is divisible by 7.
A and B are two 7-digit numbers:
A and B are two 7-digit numbers:
A = 4,893,P12
B = 5,857,0Q5
Select a value for P so that A is an element of S. Select a value for Q so that B is an element of S. Make two selections, one in each column.B = 5,857,0Q5
ID: 101101
| P | Q | |
| 4 | ||
| 5 | ||
| 6 | ||
| 7 | ||
| 8 |
ShowHide Answer
Official Answer
P: 8
Q: 5
31 May 2024, 04:50
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Bunuel
Had calculator not been allowed, I would have thought of dividing numbers into multiples of 7. But as calulator is allowed, I would straight forward substitute the options and find the answer.
A = 4893P12: P as 8 makes the number divisible by 7.
B=58570Q5: Q as 7 makes the number divisible by 7.
Bunuel, please check the value of B. It may be different, otherwise the answer should be 7
A = 4893P12: P as 8 makes the number divisible by 7.
B=58570Q5: Q as 7 makes the number divisible by 7.
Bunuel, please check the value of B. It may be different, otherwise the answer should be 7
The above in spoiler is a reminder not to be casual while reading the question.
A = 4,893,P12
Sum of digits = 4+8+9+3+P+1+2 = 27+P = 28-1+P........So P-1 should be 7 or a multiple of 7 .....P=8
B = 5,857,0Q5
Sum of digits = 5+8+5+7+0+Q+5 = 30+P = 28+2+P........So P+2 should be 7 or a multiple of 7..... P=5
General Discussion
GMAT695
Joined: 12 Jul 2023
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Location: India
Concentration: Entrepreneurship, Finance
Schools: Stern '27 Fuqua '27 Columbia '27
GMAT Focus 1: 535 Q77 V78 DI74 
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WE:Business Development (Finance)
Schools: Stern '27 Fuqua '27 Columbia '27
GMAT Focus 3: 635 Q87 V81 DI76
GMAT 1: 420 Q31 V17
Posts: 546
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31 May 2024, 04:11
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Bunuel is the OA correct ?
