Quantitative Aptitude Questions for SBI PO Mains 2017

Q1. A watch dealer usually sells watches for Rs.2350 per watch. Once he gave two successive discounts of 15% and 25% while selling a watch to a customer. But he charged an additional 8% on the net sale price from the customer. By what percent is the new selling price less than the original selling price?

(a) 28.45%

(b) 29.25%

(c) 30.45%

(d) 31.15%

(e) none of these

Q2. P and Q started a business by investing Rs. 45,000 and Rs.54,000 respectively. After four months R joined the business with a capital of Rs. 30,000. After two more months Q left the business with his capital. At the end of the year P got a share of Rs. 13,500 in the profit. What is the total profit earned?

(a) Rs 26800

(b) Rs 27600

(c) Rs 28600

(d) Rs 29200

(e) none of these

Q3. The speed of a boat in still water is 24kmph and the speed of the stream is 4kmph. The time taken by the boat to travel from A to B downstream is 36 minutes less than the time taken by the same boat to travel from B to C upstream. If the distance between A and B is 4 km more than the distance between B and C, what is the distance between A and B?  

(a) 112 km

(b) 140 km 

(c) 56 km

(d) 84 km 

(e) 28 km 

Directions (4-5): Study the given information carefully and answer the questions that follow:

A basket contains 4 red, 5 blue and 3 green marbles. 

Q4. If three marbles are picked at random, what is the probability that either all are green or all are red?

Q5. If two marbles are drawn at random, what is the probability that both are red ?

Q6. A man who swim 48m/minute in still water, swims 200m against the current and 200m with the current. The difference between the time taken by him against the stream and with the stream is 10 minutes. 

Quantity 1: speed of current. 

Quantity 2: Speed of a man who completes 3 rounds of a circular path of radius 49 m in 14 minutes. 

(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 (7-8):Two trains start together from a Station A in the same direction. The second train can cover 1.25 times the distance of first train in the same time. Half an hour later, a third train starts from same station and in the same direction. It overtakes the second train exactly 90 minutes after it overtakes the first train.

Q7. What is the speed of third train, if the speed of the first train is 40 Km/hr?

(a) 20 Km/hr

(b) 50 Km/hr

(c) 60 Km/hr

(d) 80 Km/hr

(e) none of these

Q8. What is the distance covered by third train till the time it overtakes the second train? 

(a) 160 kms.

(b) 150 kms.

(c) 140 kms.

(d) 130 kms.

(e) None of these

Q9. A trader sells soaps in economy packs of four soaps per pack, each pack being charged at the listed price of three soaps. For every set of five such packs bought by a customer, the trader gives him one extra soap as a free gift. If a customer buys 12 economy packs, what is the effective percentage of discount that he gets? 

Q10. The manufacturer of an article makes a profit of 5%, the wholesale dealer makes a profit of 10%, and the retailer makes a profit of 15%. Find the manufacturing price of the article if the retailer sold it for Rs. 5313. 

(a) Rs. 4000

(b) Rs. 4500

(c) Rs. 5000

(d) Rs. 4950              

(e) None of these

Directions (Q. 11 – 15) :This data is regarding total number of employees working in Administration (admin), Operations (Ops.) and other departments of corporate divisions of Companies A and B.

The total number of employees working in both the companies together is 4800. The respective ratio of number of employees in Companies A and B is 5 : 7. Each employee works in only one of the 3 Departments 

i.e. “ops” , “Admin” and “others”.

In company A, 70% of the total employees are males. 60% of the total male employees work in ‘Ops’ out of the remaining male employees, 1/8 th work in ‘Admin’. Out of the total female employees, 24% work in ‘Admin’ and 5/8th of the remaining female employees work in ‘Ops’.

In company B, 80% of the total employees are males. 65% of the total male employees work in ‘Ops’. Number of male employees who work in other departments in Company B is 20% more than the male employees who work in ‘Other Departments’ in company A. Number of female employees who work in Ops in Company B are less than the number of male employees who work for ‘Ops’ in the same company by 75%. Out of the remaining female employees, 1/4 work in ‘Admin’.

Q11. What per cent of the total number of male employees in company A work in ‘other’ departments?

(a) 45

(b) 25

(c) 30

(d) 35

(e) 40

Q12. What per cent the total number of female employees in company B work in administration department?

(a) 18.5

(b) 8.75

(c) 14

(d) 16

(e) 19

Q13. What is the total number of female employees who work on Ops in Company A and B together?

(a) 681

(b) 781

(c) 689

(d) 649

(e) 788

Q14. What is the difference between the average number of males working in ‘Admin’ in both the companies together and average number of females working ‘Other Departments’ in both the companies together?

(a) 26

(b) 36

(c) 16

(d) 24

(e) 14

Q15. In company B, what is the respective ratio between the total number of employees (both male and female) who work in ‘Admin’ and the total number of employees (both male and female) who work in ‘Other Department’ in the same company?

(a) 2 : 3

(b) 1 : 3

(c) 1 : 4

(d) 3 : 5

(e) 1 : 5