# Quantitative Aptitude for IBPS PO Mains 2016

From this day we are starting the 25 days Study Plan for IBPS PO Mains 2016. This study plan is to efficiently utilise time and hard work to channelise it towards smart work. From now quizzes on Bankersadda will be according to the given study plan and this will help you prepare important topics in limited time.
Today is DAY 6 of the study plan and in Quantitative Aptitude today’s chapter is TIME AND WORK.

Q1. A can complete a piece of work in 4 days. B takes double the time taken by A, C takes double that of B, and D takes double that of C to complete the same task. They are paired in groups of two each. One pair takes two-thirds the time needed by the second pair to complete the work. Which is the first pair?
(a) A and B
(b) A and C
(c) B and C
(d) A and D
(e) C and D

Directions (2-6): Read the passage below solve the questions based on it.
There are infinite pipes attached to a very big tank. Pipes are numbered like P1,P2,P3………… and so on. Its also known that efficiency of every subsequent pipe is half the efficiency of earlier pipe, i.e., efficiency of P2 pipe is half the efficiency of P1 pipe and so on. However, in case of P1 pipe, this rule is not true since there is no earlier pipe. When all the pipes are working together, the tank gets filled in 2 hours.

Q2. How much time will P4 take of fill the tank working alone?
(a) 8 h
(b) 16 h
(c) 32 h
(d) 4 h
(e) Cannot be determined

Q3. What is difference in the time taken by P5 and P6?
(a) 32 h
(b) 64 h
(c) 128 h
(d) 16 h
(e) Cannot be determined

Q4. How many pipes can fill the tank within 100 hours working alone?
(a) 4
(b) 5
(c) 6
(d) 7
(e) Infinite

Q5. Due to some technical problem, only four pipes P1,P2,Pand P4 are in working condition. These pipes are now paired up to obtain two pairs of pipes. Now it is found that one pair of pipe is taking 2/3rd of the time taken by the other pair to fill the tank independently. Which of the following is one of the two pairs?
(a) P1,P2
(b) P1,P3
(c) P1,P4
(d) P2,P4
(e) Cannot be determined

Q6. How much time will P2 take to fill the tank working alone?
(a) 4
(b) 8
(c) 16
(d) 32
(e) 12

Q7. Ram finishes a work in 7 days. Rahim finishes the same job in 8 days and Robert in 6 days. They take turns to finish the work. Ram worked on the first day, Rahim on the second day and Robert on the third and then again Ram and so on. Who was working on the last day when work got finished?
(a) Ram
(b) Rahim
(c) Robert
(d) Rahim and Robert
(e) Cannot be determined

Q8. Construction of a road was entrusted to a civil engineer. He has to finish the work in 124 days for which he employed 120 workers. Two-third of the work was completed in 64 days. How many workers can be reduced now without affecting the completion of the work on time?
(a) 56
(b) 64
(c) 80
(d) 24
(e) None of these

Q9. Two workers earned Rs. 225 first worked for 10 days and the second for 9 days. How much did each of them get daily if the first worker got Rs. 15 more for working 5 days than the second worker got for working 3 days?
(a) Rs. 11.70; Rs. 12.00
(b) Rs. 10.80; Rs. 13.00
(c) Rs. 11.25; Rs. 12.50
(d) Rs. 12.60; Rs. 11.00
(e) None of these
Q10. Two pipes A and B can fill a tank in 20 and 30 h respectively. Both the pipes are opened to fill the tank but when the tank is 1/3 full, a leak develops in the tank. Due to this leakage one-third of the water supplied by pipes A and B goes waste. What is the total time to fill the tank if the leak if not closed?
(a) 12 h
(b) 16 h
(c) 18 h
(d) 20 h
(e) None of these

Q11. In how many days will 10 men finish the job? To answer the question which of the following information(s) is/are sufficient (assume equal efficiency of work)?
A. 20 men can finish the same job in 20 days.
B. 40 men can finish the job in 1/4 time of what 10 men take.
C. 50 men can finish double the job in 16 days.
(a) Only (A) alone is sufficient
(b) Only (C) alone is sufficient
(c) Any one of (A), (B), (C) alone is sufficient
(d) (A) and (B) together or (C) alone is sufficient
(e) (A) or (C) alone is sufficient

Q12. In how many days will 22 men finish the work?
A. 6 women and 8 men can finish a work in 10 days.
B. 6 women work as much as 3 men in the same time.
C. Each women takes twice more time taken by a man to finish the work.
(a) A alone is sufficient
(b) A and B together are only sufficient
(c) A and either B or C together are sufficient
(d) All A, B and C together are necessary
(e) All even together are not sufficient

Q13. Amit can do a job in 9 days. To find the number of days in which Gagan can do the same job, which of the following information(s) is/are necessary / sufficient?
P. Gagan is 50% more efficient than Amit.
Q. Amit and Gagan together can do the job in 3(3/5) days.
R. Amit is 33(1/3)% less efficient than Gagan.
(a) Only P alone is sufficient
(b) Only q alone is sufficient
(c) Only either P or Q is sufficient
(d) Any one of the three statements is sufficient
(e) All the three statements are necessary

Directions (14-15): Read the passage below and solve the questions based on it.
Tank at a water supply station is filled with water by several pumps. At first, three pumps of the same capacity are turned on; 2.5 h later, two more pumps (both the same) of a different capacity are set into operation. After 1 h, the additional pumps were set into operation; the tank was almost filled to its capacity (15 m^3 were still lacking); in another hour the tank was full. One of the two additional pumps could have filled the tank in 40 h.

Q14. What is the volume of the tank?
(a) 60 m^3
(b) 80 m^3
(c) 75 m^3
(d) 90 m^3
(e) None of these

Q15. How much water does one of the first three pumps emit in an hour?
(a) 5 m^3
(b) 4 m^3
(c) 3 m^3
(d) 2 m^3
(e) None of these