IBPS PO Quantitative Aptitude: Miscellaneous questions with solutions

Q1. 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?

1. Both statements I & II are correct
2. None of the above
3. All statements are correct
4. Both statements III & I are correct

Answer: None of the above

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.

Q2. Dheeraj ranked 28th from the top and 28th from the bottom in a class. How many students are in the class?

1. 54
2. 55
3. 56
4. 57

Answer: 55

Total students = rank from top + rank from bottom - 1 = 28 + 28 - 1 = 55.