Michael lives 10 km away from where I live. Ahmed lives 4 km away and Susan lives 7 km away from where I live. Arun is farther away than Ahmed but closer than Susan from where I live. From the information provided here, what is one possible distance (in km) at which I live from Arun's place?
A. 3.00
B. 4.99
C. 6.02
D. 7.01
GATE 2016 · General Aptitude · Logical Reasoning · medium
Answer: Arun's distance must satisfy 4 < d < 7. Option C (6.02 km) satisfies this constraint. Answer: C.
Establish the constraint for Arun's distance: Arun is farther than Ahmed (4 km) and closer than Susan (7 km). So Arun's distance d satisfies 4 < d < 7.
Check each option: A: 3.00 < 4 — violates d > 4. B: 4.99 satisfies 4 < 4.99 < 7 — valid. C: 6.02 satisfies 4 < 6.02 < 7 — valid. D: 7.01 > 7 — violates d < 7. Both B and C are technically valid, but the official answer is C = 6.02.