2025 · Q56
For any three natural numbers a, b and c, if (bc + 1)/(abc + a + c) = 11/43, then the value of abc is
general-mental-abilityquantitative-aptitude
- A30
- B45
- C60
- D75
Explanation
Write (bc+1)/(abc+a+c) = 11/43. Trying bc+1 = 11 gives bc = 10, and then the denominator abc+a+c = a(bc)+a+c = 11a+c must equal 43. With a=3, c=10: 11(3)+10 = 43, and bc = 10 gives b = 1. Checking: (10+1)/(30+3+10) = 11/43. Then abc = 3x1x10 = 30.