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01 Feb 2024, 02:30
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In the 6-digit integer 543, 2xy, x, and y are chosen from the digits 0, 2, 4, 6, and 8. What is the probability that 543, 2xy is divisible by 8?
A. \(\frac{1}{5}\)
B. \(\frac{6}{25}\)
C. \(\frac{7}{25}\)
D. \(\frac{8}{25}\)
E. \(\frac{9}{25}\)
A. \(\frac{1}{5}\)
B. \(\frac{6}{25}\)
C. \(\frac{7}{25}\)
D. \(\frac{8}{25}\)
E. \(\frac{9}{25}\)
01 Feb 2024, 08:34
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200 (x=0, y=0)
208 (x=0, y=8)
240 (x=4, y=0)
248 (x=4, y=8)
280 (x=8, y=0)
288 (x=8, y=8)
there will be 6 combinations that make “2xy” divisible by 8.
5 digits {0, 2, 4, 6, 8}. there are a total of 5 * 5 = 25 possible
IMO- B (6/25)
208 (x=0, y=8)
240 (x=4, y=0)
248 (x=4, y=8)
280 (x=8, y=0)
288 (x=8, y=8)
there will be 6 combinations that make “2xy” divisible by 8.
5 digits {0, 2, 4, 6, 8}. there are a total of 5 * 5 = 25 possible
IMO- B (6/25)
Oppenheimer1945
Joined: 16 Jul 2019
Last visit: 16 Jun 2025
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Location: India
Schools: INSEAD '26 (D) ISB '27 (D) IIMB '26 (A) IIMA '26 (A) HEC '26 (D) LBS '26 IESE '27 (D) Fuqua '27 (WL) Tepper '27 (WL)
GMAT Focus 1: 645 Q90 V76 DI80 
GPA: 7.81
Schools: INSEAD '26 (D) ISB '27 (D) IIMB '26 (A) IIMA '26 (A) HEC '26 (D) LBS '26 IESE '27 (D) Fuqua '27 (WL) Tepper '27 (WL)
GMAT Focus 1: 645 Q90 V76 DI80
Posts: 797
01 Feb 2024, 08:48
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48
24
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P=8/25
08
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P=8/25
