Quantitative Aptitude Quiz For IBPS PO Mains 2022- 15th November

Direction (1 – 5): Bar graph given below shows time (in hours) taken by five different pipes to fill a tank ‘T’ alone. Ratio of efficiency of all five pipes remain same throughout any situation. Study the data carefully and answer the following questions.

Q1. All five-pipe start filling another tank ‘X’ together and E closed after 8 hours. Tank filled by B is same as tank filled by C, while A and C fill the tank for same time. D fill the tank for ‘p’ hours. If B, C & D together can fill the tank ‘X’ in 24 hours and B fill the tank for only 10 hours, then find the value of ‘p’.
(a) 7 hours
(b) 9 hours
(c) 11 hours
(d) 13 hours
(e) 15 hours

Q2. A and C together can fill another tank ‘P’ in (T + 42) hours, while B and D together can fill the tank ‘P’ in (T + 15) hours. Find how many hours B fill the tank ‘P’.
(a) 100 hours
(b) 90 hours
(c) 85 hours
(d) 50 hours
(e) 60 hours

Q3. All five pipes started together to fill another tank M. E fill the tank for 6 hours and then closed. After 3 hours more both B and D closed too. 40% of total tank is filled by A and C together but after ‘x’ more hours ‘A’ left. Remaining tank is completed by ‘C’ in ‘d’ more hours. If ‘d – x = 3’, then number of hours for which ‘C’ fill the tank is what percent more than number of hours for which ‘A’ fill the tank.
(a) 33⅓%
(b) 50%
(c) 66⅔%
(d) 75%
(e) 100%

Q4. A, B and C together starts to fill tank ‘T’. After seven hours ‘C’ closed and after three hours more ‘A’ and ‘B’ also closed. If remaining tank is filled by D and E alternatively in ‘d’ hours. If ‘d’ is integer, then find ‘E’ filled for how many hours?
(a) 3 hours
(b) 4 hours
(c) 5 hours
(d) 6 hours
(e) Cannot be determined

Q5. A, B and D together started filling tank ‘T’. After five hours, B and D replaced by C and E and after five more hours A also close. After one more hour E close too. C fill the tank for total ‘t’ hours. In other case A and B starts filling together to tank ‘T’. After four hours both pipes are replaced by E. If E fill the tank for five hours and replaced by D who fill the tank for eight hours. Remaining tank filled by C in ‘d’ hours. Find (d – t)?
(a) 4 hours
(b) 10 hours
(c) 6 hours
(d) 8 hours
(e) 12 hours

Directions (6-10): Pie chart given below shows length of six different trains and table given below shows ratio between speed of six trains on three different days. Study the data carefully and answer the following questions.

Q6. On Wednesday, train ‘B’ crosses train ‘D’ coming from opposite direction in 6 seconds. If speed of train ‘B’ on Monday is 97.2 km/hour then in how much time train ‘F’ can cross train ‘D’ on Monday if train ‘D’ is coming from opposite direction and speed of train ‘F’ on Monday is 20 m/sec.
(a) 6 seconds
(b) 8 seconds
(c) 10 seconds
(d) 12 seconds
(e) 14 seconds

Q7. Train ‘C’ start from Delhi on Monday at 7:00 p.m and reach Kanpur on next day at 3:00 pm. In return journey on Tuesday, train ‘C’ start from Kanpur at 6 : 00 pm and reach Jaipur which is 180 km ahead of Delhi at 5 : 48 pm on Wednesday. Find the time taken by train ‘C’ to cross a pole on Monday?
(a) 8 seconds
(b) 16 seconds
(c) 19.2 seconds
(d) 14.4 seconds
(e) 28.8 seconds

Q8. On Monday, train ‘A’ takes 2.5 hours more to cover 900 km distance than train ‘C’. If train ‘A’ can cross a platform of length 128 m in 12.8 seconds on Tuesday then find in how much time (in seconds) train ‘C’ can cross two poles 66 m apart from each other on Tuesday?
(a) 12 seconds
(b) 16 seconds
(c) 20 seconds
(d) 24 seconds
(e) 30 seconds

Q9. Ratio between speed of train ‘E’ to train ‘F” on Monday is 3 : 2. On Tuesday train ‘E’ cross train ‘F’ running in same direction in 24 seconds then find the time in which train ‘E’ can overtakes train ‘F’ on Wednesday?
(a) 48 seconds
(b) 24 seconds
(c) 12 seconds
(d) 36 seconds
(e) 60 seconds

Q10. Ratio between time taken by train ‘B’ to train ‘D’ to cross a pole on Monday is 1 : 1. The time taken by train ‘B’ to cross a pole on Wednesday is what percent more/less than time taken by train ‘D’ to cross a pole on Monday? 
(a) 30%
(b) 40%
(c) 50%
(d) 60%
(e) 70%

Solutions