Quantitative Aptitude Quiz for SBI PO/CLERK Mains: 10th July 2018

Directions (1-3): Working efficiency of A is 20% more than that of B. B can alone complete a work ‘X’ in 36 days.
B and C together started to complete the work ‘X’ and after 10 days they both left the work and then remaining work is done by A alone in 15 days. 
A and C together started to complete another work ‘Y’ and after working for 12 days they both left the work. Remaining work is done by B alone in 16 days. D first completed work ‘X’ and then completed work ‘Y’ in total 38 days.
It is given that efficiency of all, in completing work ‘X’ and work ‘Y’ is same.

Q1. A, B and C working together completed 1/3rd of work ‘X’, and then A and C are replaced by D. Now remaining of work ‘X’ is completed by B and D together. For how many days B worked?                                                         
(a) 12 days
(b) 10 days
(c) 15 days
(d) 4 days
(e) 7 days

Q2. A, C and D working simultaneously completed work ‘X’ in ‘n’ days and A, B, C and D working simultaneously completed work ‘Y’ in ‘m’ days. Find the value of (m+n).                        (a) 15 days
(b) 10 days
(c) 12 days
(d) 8 days
(e) None of these

Q3. A person E starts the work ‘X’ and leave after 12 days, then B and C together complete the remaining work in 8 days. What is the ratio of number of days taken by A and E together to complete the work ‘X’ to the number of days taken by D, B and C together to complete the both work ‘X’ and ‘Y’ .                                                                                          
(a) 3 : 5
(b) 5 : 3
(c) 8 : 7
(d) 1 : 2
(e) 4: 5

Q4. 4/5th of the voters in Bellary promised to vote for Sonia and the rest promised to vote for Sushma. Of these voters, 10% of the voters who had promised to vote for Sonia, did not vote on the election day, while 20% of the voters who had promised to vote for Sushma did not vote on the election day. What is the total no. of votes polled if Sonia got 216 votes? 
(a) 200
(b) 300
(c) 264
(d) 100
(e) None of these

Q5. At IIM Bangalore, 60% of the students are boys and the rest are girls. Further 15% of the boys and 7.5% of the girls are getting a fee waiver. If the number of those getting a fee waiver is 900, find the total number of students getting 50% concession if it is given that 50% of those not getting a fee waiver are eligible to get half fee concession? 
(a) 3600
(b) 2800
(c) 3200
(d) 3300
(e) None of these

Q6. A manufacturer estimates that on inspection 12% of the articles he produces will be rejected. He accepts an order to supply 22,000 articles at Rs. 7.50 each. He estimates the profit on his outlay including the manufacturing of rejected articles, to be 20%. Find the cost of manufacturing each article. 
(a) Rs. 6
(b) Rs. 5.50
(c) Rs. 5
(d) Rs. 4.50
(e) None of these

Q7. A dealer marks articles at a price which is 30% above than its cost price. 6% of the consignment of goods was lost in a fire in his premises, 24% of total was soiled and had to be sold at half the cost price. If the remainder was sold at the marked price, what percentage profit or loss did the dealer make on that consignment? 
(a) 2%
(b) 2.5%
(c) 3%
(d) 6.2%
(e) None of these
       
Directions (8-9): Ramesh and Suresh decided to meet at a common point at the same time in the river. Ramesh had to travel 42 km upstream in the river and Suresh had to travel 35 5/7% less distance downstream than that of Ramesh to meet at a common point. They both sets off in their respective boats at the same time and speed of Ramesh’s boat is 20 km/hr more than the speed of Suresh boat. It is given that Suresh covers 280 km upstream in 35 hours.

Q8. Find the speed of stream of river?                                   
(a) 6 km/hr
(b) 8 km/hr
(c) 5 km/hr
(d) 10 km/hr
(e) 4 km/hr

Q9. After meeting, if they decided to return to their original places but Ramesh travelled for 19 km and Suresh travelled for 16 km, then what is the sum of time taken by both in covering these distances?                 
(a) 150 min
(b) 120 min
(c) 180 min
(d) 90 min
(e) 60 min

Q10. Ajay, Vijay and Sanjay are employed to do a piece of work for Rs. 529. Ajay and Vijay together are supposed to do 19/23 of the work and Vijay and Sanjay together are supposed to do 8/23 of the work. How much should Ajay be paid for his share of his work? 
(a) Rs. 245
(b) Rs. 295
(c) Rs. 300
(d) Rs. 345
(e) Rs. 296

Q11. X takes 4 days to complete one-third of a job, Y takes 3 days to complete one-sixth of the same work and Z takes 5 days to complete half the job. If all of them work together for 3 days and X and Z quit, how long will it take for Y to complete the remaining work done.
(a) 6 days
(b) 8.1 days
(c) 5.1 days
(d) 7 days
(e) None of these

Q12. A job has to be completed by A, B and C in 10 days in such a way that all starts the work together but C left after 3 days. When C left the job 37/100 of the job is completed. Also, the work done by A in 5 days is equal to the work done by B in 4 days. How many days would be required by the fastest worker to complete the entire work alone? 
(a) 20 days
(b) 25 days
(c) 30 days
(d) 40 days
(e) 54 days

Q13. A motorboat went downstream for 28 km and immediately returned. It took the boat twice as long to make the return trip than the downstream trip. If the speed of the river flow were twice as high, the trip downstream and back would take 672 minutes. Find the speed of the boat in still water and the speed of the river flow. 
(a) 9 km/hr, 3 km/hr
(b) 9 km/hr, 6 km/hr
(c) 8 km/hr, 2 km/hr
(d) 12 km/hr, 3 km/hr
(e) None of these

Q14. Two trains pass each other on parallel lines. Each train is 100 metres long. When they are going in the same direction, the faster one takes 60 seconds to pass the other completely. If they are going in opposite directions they pass each other completely in 10 seconds. Find the speed of the slower train in km/hr. 
(a) 30 km/hr
(b) 42 km/hr
(c) 48 km/hr
(d) 60 km/hr
(e) 54 km/hr