Exams › IBPS PO › Quantitative Aptitude
Statement I: √8! > √9! Statement II: 2, 19 and 7 are the only prime factors of 408,842. Statement III: Ram cannot have average speed 2a km/hr for the whole journey if he travels 50% of distance at speed a km/hr. Which are correct?
- Both statements I & II are correct
- None of the above
- All statements are correct
- Both statements III & I are correct
Correct answer: None of the above
Solution
I: √8!>√9! → 8!>9! → 40320>362880 = FALSE. II: 408842÷2=204421÷7=29203÷19=1537; 1537 is prime → extra prime factor 1537 → FALSE. III: Average speed=2×(a×b)/(a+b). For avg=2a: b must be infinite → impossible ✓ TRUE. Only III is correct but no option says that → None of the above.
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