RBI OFFICER GRADE ‘B’ PHASE-I EXAM Held on : 17.06.2017(Part-III)

 

Total Questions: 50

11. A can complete a project in 20 days and B can complete the same project in 30 days. If A and B start working on the project together and A quits 10 days before the project is completed, in how many days will the project be completed?

Correct Answer: (1) 18 days
Solution:Time taken in completing the project days (let)
According to the question,

12. A runs 25% faster than B and is able to allow B a lead of 7 metres to end a race in dead heat. What is the length of the race?

Correct Answer: (5) 35 metres
Solution:Ratio of the speeds of A
 and B
Clearly, A takes a lead of 1 metre in a race of 5 metre.
Length of race metre metre.

13. A train travelling at 100 kmph overtakes a motorbike travelling at 64 kmph in 40 seconds. What is the length of the train in meters?

Correct Answer: (3) 400 metres
Solution:Train and motorbike are running in the same direction.
Relative speed

14. Study the following graph and table to answer the given the questions.

From the questions (14-18)

This table depicts the number of hours taken by each outlet alone to empty the full tank 'T'

OutletsNumber of hours
W-
X34
Y-
Z30

The time taken to fill the empty tank completely when inlet A and outlet X were opened together was 6 hours 40 minutes less than that taken by inlet B and outlet W together. How much time will outlet W alone take to completely empty the full tank? (in hours)

Correct Answer: (2) 28
Solution:

Part of tank filled in 1 hour by inlet A and outlet X
If the time taken by outlet W in emptying the tank hours, then

15. Study the following graph and table to answer the given the questions.

When the tank was completely full, outlets X and Y were opened together for 8 hours 30 minutes. Both were then closed and inlet A was opened which filled the tank completely in 3 hours 30 minutes. In how much time (in hours) will outlet Y alone empty the full tank?

Correct Answer: (2) 13.6 hours
Solution:


16. Study the following graph and table to answer the given the questions.

When the tank was completely full, outlets X and Z were opened together for 'H' hours. Had outlet Z been open alone, it would have taken H + 10' hours to empty the same quantity of water from the tank. What is the value of 'H'?

Correct Answer: (3) 11⅓
Solution:According to the question,

17. Study the following graph and table to answer the given the questions.

Inlet E was open for 2 hours and then closed. If the remaining tank was filled by inlets B and C together, what was the total time (in hours) taken to fill the tank completely?

Correct Answer: (4) 4⁶⁄₇
Solution:Part filled by pipe E in 2 hours

Remaining part

Part of the tank filled in 1 hour
by B and C

Time taken in filling 5/6 part
hours
Total time


18. Study the following graph and table to answer the given the questions.

When the tank was completely empty, inlets A, D and E were opened for one hour each and then closed. If after that outlet Z was opened, how much time (in hours) will it take to empty the tank completely?

Correct Answer: (5) 25
Solution:Part of tank filled in 1 hour by A, D and E.

Time taken by outlet Z in emptying 5/ part

19. A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same dis-tance running downstream. What is the ratio between the speed of the boat in still water and speed of the water current respectively?

Correct Answer: (3) 8 : 3
Solution:Required distance

20. A, B and C jointly thought of engaging themselves in a busi-ness venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. What is the share of B in the profit?

Correct Answer: (2 ) Rs. 2660
Solution:Ratio of the equivalent capitals of A, B and C for 1 month