Dear Students,

Numerical Ability for SBI Clerk Prelims 2018

Today is the Day 12 of the SBI Clerk 60 Days Study Plan and the topic for Today's Numerical Ability Practice Questions is Time and WorkNumerical Ability Section has given heebie-jeebies to the aspirants when they appear for a banking examination. As the level of every other section is only getting complex and convoluted, there is no doubt that this section, too, makes your blood run cold. The questions asked in this section are calculative and very time-consuming. But once dealt with proper strategy, speed, and accuracy, this section can get you the maximum marks in the examination. Following is the Numerical Ability quiz to help you practice with the best of latest pattern questions.

Q1. 12 Men can complete a project in 15 days and 10 women can complete the same project in 24 days. 9 men start working and after 6 days they are replaced by 12 women. In how many days will 12 women complete the remaining work?
(a) 20
(b) 10
(c) 16
(d) 18
(e) 14

Q2. Arjun and Suman together can complete an assignment of data entry in 6 days. Suman’s speed is 60% of Arjun’s speed and the total key are 5,76,000. What is Arjun’s speed in key depressions per hour if they work for 12 hours a day?
(a) 4800
(b) 6400
(c) 5000
(d) 7200
(e) 8400

Q4. There are two taps to fill a tank and a third to empty it. When the third tap is closed, they can fill the tank in 10 min and 12 min, respectively. If all the three taps be opened, the tank is filled in 15 min. If the first two taps are closed, in approximately what time can the third tap empty the when it is full?
(a) 8 min and 34 second
(b) 9 min and 32 second
(c) 7 min
(d) 6 min
(e)12 min

Q5. A is twice as efficient as C. B takes thrice as many days as A. C takes 12 days to finish the work alone. If they work in pairs (i.e., BC, AB, CA) starting with BC on the first day, AB on the second day and AC on the third day and so on, then how many days are required to finish the work?
(a) 31/5 days
(b) 4.5 days
(c) 46/9 days
(d) 8 days
(e) 4 days

Solutions (1-5):

Q6. There are two auto closed pipes X and Y which get closed if there is any disturbance can fill a tank in 10 and 15 hrs. respectively. Both the pipes are opened to fill the tank but when the tank is 1/3 rd full, a leak develops in the tank which results in closing of both pipes. Through the leak one-third water supplied by both the pipes goes out & after it the leak was get closed by some means and both filling pipes again start filling the tank. The total time taken to fill the tank is
(a) 12 hr
(b) 8 hr
(c) 4 hr
(d) 6 hr
(e) 10 hr.

Q7. A certain number of people were supposed to complete a work in 20 days. The work, however, took 28 days, since 8 people were absent throughout. How many people were supposed to be working originally?
(a) 32
(b) 27
(c) 36
(d) 30
(e) 28

Q8. X and Y start from the same point and run around a circular stadium, whose circumference is 2800 m, at the rate of 250 m and 350 m per minute respectively in the opposite direction. They will meet each other in
(a) 14/3 min
(b) 16/3 min
(c) 12/5 min
(d) 18/5 min
(e) 11/3 min

Q9. If 300 men dig a 5.5 m wide, 4 m deep and 405 m long canal in an hour, then how long a canal will 2000 men working for 6 hrs, dig if it is 20 m wide and 16 m deep?
(a) 6452 m
(b) 6682.5 m
(c) 2694.5 m
(d) 4082 m
(e) None of these

Q10. In an army camp there was sufficient food for 250 soldiers for 30 days. After 20 days 125 soldiers left the camp. For how many extra days will the rest of the food last for the remaining soldiers?
(a) 12 days
(b) 10 days
(c) 8 days
(d) 6 days
(e) 14 days

Solutions (6-10):

Q11. 6 men can complete a piece of work in 12 days. 8 women can complete the same piece of work in 18 days whereas 18 children can complete the piece of work in 10 days. 4 men, 12 women and 20 children work together for 2 days. If only men were to complete the remaining work in 1 day how many men would be required totally?
(a) 36
(b) 24
(c) can’t be determined
(d) 35
(e) None of these

Q12. 12 men can finish a project in 12 days. 18 women can finish the same project in 16 days and 24 children can finish it in 18 days. 8 women and 16 children worked for 9 days and then left. In how many days will 10 men complete the remaining project?
(a) 10 ½
(b) 10
(c) 6
(d) 11 ½
(e) 8

Q13. 28 men can complete a piece of work in 15 days and 15 women can complete the same piece of work in 24 days. What is the respective ratio between the amount of work done by 30 men in 1 day and the amount of work done by 18 women in 1 day?
(a) 10 : 7
(b) 3 : 5
(c) 5 : 4
(d) 9 : 5
(e) 5 : 9

Q14. A and B together can complete a work in 5 days. They start together but after 3 days B left the work. If the work is completed after two more days. A alone could do the work in
(a) 5 days
(b) 9 days
(c) 6 days
(d) 10 days
(e) 12 days

Q15. Two persons X and Y can dig a pit in 16 hours together. They worked together 4 hours and then a third person Z whose efficiency is half of their together’s efficiency joins them. Find in how many time the whole work will be completed?
(a) 10 hrs.
(b) 13 hrs.
(c) 12 hrs.
(d) 16 hrs.
(e) 18 hrs.

Solutions (11-15):