Quantitative Aptitude Questions for SBI PO Mains 2017

Directions (1-2): A is thrice as good a workman as B and therefore is able to finish a job in 60 days less than B. If A and B complete 2/3 rd of the job and then A is replaced by C, the remaining job is done by B and C in 10 days.
If A and B complete 3/4th of the job and then B is replaced by D the remaining job is done by A and D in 5 days.

Q1. How long will it take for A, B, C and D to complete the job working together?
(a) 12 days
(b) 20 days
(c) 15 days
(d) 14 days
(e) None of these

Q2. The job is completed in the following manner: A and B work on day 1, B and C work on day 2, C and D work on day 3, D and A work on day 4 and so on. How long will it take for the job to be completed in this manner?
(a) 25 days
(b) 24 days
(c) 22 days
(d) 30 days
(e) None of these

Q3. PBA and PDC are two secants. AD is the diameter of the circle with centre at O. ∠A 40°, ∠P = 20°
(a) Quantity I > Quantity II 
(b) Quantity I < Quantity II 
(c) Quantity I ≥ Quantity II 
(d) Quantity I ≤ Quantity II
(e) Quantity I = Quantity II or No relation
Directions (4-8): The table given below shows the no. of units produced of six different items by a company, the mark-up % on each unit and the discount offered on the marked-up price of each unit. The cost price of all the items is same and fixed at Rs 100. The line graph shows the estimated percentage of items sold by the company on the normal discounted price. The bar graph shows the percentage of cost price at which the company sold the remaining no. of items.( means the company sold the remaining no. of items at a price lower than the cost price) 

Q4. Find profit % of A and B together in year 2015 if it is known that B sold only 90% of goods of what he actually estimated to sell in year 2015. 
(a) 0.33%
(b) 0.44%
(c) 0.55%
(d) 0.60%
(e) None of these
Q5. In year 2016 E has increased his discount % by 10 basis point and which lead to increase in its estimated sales by 20 basis point. Apart from that everything else remains same then what is the difference in profit in year 2015 to 2016.
(a) 504
(b) 508
(c) 512
(d) 516
(e) 520
Q6. In year 2016 C decreased the discount % by 10 basis point due to which its sales reduced to 80% of total production of year 2015. By how much % profit will increase or decrease in 2016 compare to year 2015. (Approximately)
(a) Increased by 200%
(b) Decreased by 210%
(c) Increased by 203%
(d) Increased by 207%
(e) Decreased by 207%
Q7. What is the difference between the absolute profit of A, B and C together and D, E and F together in year 2015
(a) 750
(b) 800
(c) 900
(d) 1000
(e) None of these
Q8. What is the profit % of all the companies together in year 2015. (Approximately)
(a) 4.9%
(b) 4.6%
(c) 5.1%
(d) 4.7%
(e) 5.4%
Directions (9-10): These questions are based on the information given below: 

In manufacturing a certain item, 40% of the expenditure is on account of raw materials, 20% on account of labour charges, 20% on account to fixed charges and the rest on miscellaneous. The item is sold at a profit of 25%. The price of the raw materials went up by 15% and the labour charges went up by 20% and the cost on the miscellaneous heads went up by 50% while the fixed costs remained unchanged. 

Q9. If the selling price remained unchanged, then what is the profit percentage?
(a) 2%
(b) 4%
(c) 25/6%
(d) 10%
(e) None of these
Directions (11-12): Vikas intended to travel a certain distance at a certain uniform speed. But after one hour, he increased his speed by 25%. As a result, in the remaining part of the time that he originally planned for the journey, he could now cover as much distance as he initially thought he would be able to cover. 

Q11. What is the total time taken for the journey for normal speed?
(a)  hrs. 
(b) 5 hrs
(c) 6 hrs
(d) Can’t be determined 
(e) None of these
Q12. After Vikas increased his speed, if he decided to terminate his journey after covering the remaining distance he initially intended to cover and not cover the extra distance as given in the data, what is the total time taken for the journey?
(a) 4 hr 12 min. 
(b) 5 hr 24 min.
(c) 3 hr 36 min. 
(d) 4 hr 36 min.
(e) None of these
Q13. Quantity 1: Original duration of flight. In a flight of 3000 km an aircraft was slowed down by bad weather. Its average speed for the trip was reduced by 100 km/hr. and the time increased by one hour.
Quantity 2: Usual time of a man who, when walks at 3/4th of his usual pace, reaches his office 20 minutes late. 
(a) Quantity I > Quantity II 
(b) Quantity I < Quantity II 
(c) Quantity I ≥ Quantity II 
(d) Quantity I ≤ Quantity II 
(e) Quantity I = Quantity II or No relation

Directions (14-15): Mohit bought some chairs & tables from a shopkeeper. The marked price of a chair and a table were in the ratio 5 : 7. The shopkeeper gives discounts of 20% and 25% on the chair &the table respectively. The ratio of chairs and tables bought by Mohit is 9 : 8.

Q14. If Mohit sells each chair and table bought by him at discounts of 25% and 20% respectively after marking up the prices of both by 50% and gives one 1 chair free for every 4 tables bought by a customer, then what is the net profit /loss % made by Mohit after selling all of the items which he bought from the shopkeeper?
(a) 7%
(b) 5%
(c) 8%
(d) 6%
(e) None of these
Q15. If Mohit buys 170 chairs and tables in all, then what is the approximately average price at which he must sell all of them to be in a situation of no profit –no loss?
(a) Rs 45.88
(b) Rs 52.67
(c) Rs 48
(d) Rs 42.8
(e) None of these

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