Quantitative Aptitude Quiz For SBI PO Mains 2023- 23rd January

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

Direction (6-10): – Line chart given below shows time taken by five different persons to complete a work ‘M’ alone. Ratio of efficiency of all five persons remain same throughout any work. Study the data carefully and answer the following questions.

Q6. All five starts working together to complete work ‘X’. ‘Veer’ left after 8 days. Work done by ‘Bhavya’ is same as work done by ‘Neeraj’ while ‘Abhi’ and ‘Neeraj’ worked for same time. ‘Satish’ worked for ‘y’ days. If ‘Bhavya’, ‘Neeraj’ and ‘Satish’ together can complete work ‘X’ in 24 days then find the value of ‘y’ if Bhavya worked for starting 10 days.
(a) 7 days
(b) 9 days
(c) 11 days
(d) 13 days
(e) 15 days

Q7. Abhi and Neeraj together can complete work ‘Z’ in (A + 42) days while Bhavya and Satish together can complete work ‘Z’ in (A + 15) days. All start the work Z such that ratio between work done by Abhi, Bhavya and Veer is 1 : 2 : 3, while ratio between days, Neeraj, Satish and Veer worked is 2 : 2 : 1. Find how many days ‘Bhavya’ worked.
(a) 10 days
(b) 15 days
(c) 20 days
(d) 30 days
(e) 40 days

Q8. All five persons started together to complete work ‘Y’. Veer worked for starting 6 days and left the work. After 3 days more both Bhavya and Satish left too. Remaining 40% work should be completed by Abhi and Neeraj together but ‘Abhi’ left after ‘x’ days. Remaining work is completed by ‘Neeraj’ in ‘z’ days. If ‘z – x = 3’, then number of days for which ‘Neeraj’ worked is what percent more than number of days for which ‘Abhi’ worked.
(a) 33⅓%
(b) 50%
(c) 66⅔%
(d) 75%
(e) 100%

Q9. Abhi, Bhavya and Neeraj together starts to do work ‘M’. After 7 days ‘Neeraj’ left and after 3 days more ‘Abhi’ and ‘Bhavya’ left. Remaining work is completed by Satish and Veer working alternatively in ‘y’ days. If ‘y’ is integer then find ‘Veer’ worked for how many days?
(a) 3 days
(b) 4 days
(c) 5 days
(d) 6 days
(e) Cannot be determined

Q10. Abhi, Bhavya and Satish starts working together to complete work ‘M’. After 5 days, Bhavya and Satish replaced by Neeraj and Veer. After 5 more days Abhi left the work. After 1 more day Veer left too. Neeraj worked for total ‘x’ days. In other case Abhi and Bhavya starts working together to complete ‘M’. After 4 days both are replaced by Veer. Veer worked for 5 days and replaced by Satish who worked for 8 days. Remaining work is completed by Neeraj in ‘y’ days. Find (y-x)²?
(a) 25
(b) 36
(c) 49
(d) 64
(e) 81

Solutions