Quantitative Aptitude Quiz for IBPS 2020 Mains Exams- 11th December

Table of Contents

Q1. If efficiency of B increased by 33⅓% and A & B start work together, while at the same time C starts destroying the work. Find in how many days work will be completed?
(a) 36 days
(b) 48 days
(c) 32 days
(d) 28 days
(e) 30 days

Q2. If A worked for first x days, B & C worked for next (x + 2) days and remaining work complete by A in (x -9.5) days. Find what portion of work will be completed, if A & C work together for (X + 6) days?
(a) 53/72
(b) 49/72
(c) 47/72
(d) 58/72
(e) 55/72

Directions (3-4): Pipe A can fill a tank in 12 minutes and ratio of efficiency of pipe B to pipe C is 8 : 9. Pipe A and C together will fill 2 liters/minute more water in tank than that of pipe A and B together. Time taken by pipe B and C together to fill the same tank is 4(4/17) minutes.

Q4. If all three pipes are opened for 2 minutes to fill the tank each alternatively in the sequence of A then C and then B. Calculate water filled by pipe A is what % of water filled by Pipe C.
(a) 72.5%
(b) 75%
(c) 77.5%
(d) 80%
(e) 82.5%

Directions (5-6): A is twice efficient than B and B take 8 more days than C to complete a work. A took the contract to complete the same work in 6 days. 2 days later, he realized that he alone could only complete 60% work in given time period. So, he asked for help, B and C joined him for last 3 days and the work was completed on time.

Q5. Find the number of days taken by B and C to complete the same work.
(a) 7 days
(b) 7.5 days
(c) 12 days
(d) 16 days
(e) 8 days

Directions (7-8): X and Y working together on a work ‘S’ such that their total working efficiency decreases by 10% every day from the previous day and they completed the work in 5 days. Ratio of the efficiency of the X and Y is 4 : 5.

Q7. If Z can complete the same work in 9 days (with same efficiency) then find the efficiency of Z is what percent of that of efficiency of Y on first day?
(a) 78.12%
(b) 81.902%
(d) 104.02%
(d) 65.123%
(e) 102.56%

Q9. Rs.15000 invested in two schemes each. First scheme offers R% interest on C.I. and second scheme offer R% more of what he gets in first at S.I. If after 2-year difference between interests earned in both scheme is Rs. 600 then find the value of R.
(a) 24%
(b) 10%
(c) 15%
(d) 20%
(e) None of these

Q10. Ram spends Rs. 8000 for 4 years in scheme ‘A’ which offers R% p.a. at S.I. and Rs. 10,000 for 2 years in scheme ‘B’ which offers R% p.a. at C.I. He got same amount from both schemes. Find value of ‘R’.
I. 20%
II. 50%
III. 100%
(a) Either I or II
(b) Either I or III
(c) Either II or III
(d) Any one of I, II and III
(e) Only I

Q11. Work done by A, B, C and D is in arithmetic progression. C worked for 9 days and completed 30% work. A and B worked for 2 days and 3 days only. Find for how many days ‘D’ work to complete the remaining work if all four together can complete that work in 4 days.
(a) 12 days
(b) 10 days
(c) 8 days
(d) 6 days
(e) 4 days

Directions (12-13): Pipe A is 33 ⅓% more efficient than pipe B. Pipe C can empty the tank at rate 40 litre/hour.

Q12. Mohit opened pipe A and pipe B for 13/7 hours and the tank was filled upto10 liters less than 75% of its capacity. After that he also opened the pipe C and tank was filled in 1 hour. Find the time in which pipe C alone could empty the tank.
(a) 8 hours
(b) 9 hours
(c) 9.5 hours
(d) 8.5 hours
(e) Can’t be determined

Q13. When these pipes were connected to a different tank. Initially, pipe A and B were opened, till the tank was filled 10 liters more water than 75% capacity of tank. After that all the pipes were opened, and the remaining tank was filled in 1 hour. Find the capacity of tank. Given that pipe A will take 4 hours to fill the tank.
(a) 600 litres
(b) 160 litres
(c) 360 litres
(d) 180 litres
(e) can’t be determined

Q14. Interest earned by Ramesh on Rs 10000 for 2 years at R% p.a. simple interest is how much more/less than interest earned by him on Rs 8000 for 2 years at (R+10)% p.a. compounding annually. If Rs 2000 is invested at 2R% p.a. simple interest for a year, then it would fetch an interest of Rs 400.
(a) Rs 1220
(b) Rs 1000
(c) Rs 1520
(d) Rs 930
(e) Rs 1140

Q15. Aman invested Rs.18000 at 21% p.a. compounding annually for 1 year and Rs.15000 at 16% p.a. compounding semi-annually for 1 year. Bhanu invested Rs.P at 12% p.a. for 1 year. If interest received by both Bhanu and Aman is same, then find P.
(a) Rs.55,800
(b) Rs.52,300
(c) Rs.54,500
(d) Rs.51,700
(e) Rs.53,600

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