RBI OFFICER GRADE ‘B’ PHASE-I EXAM Held on:18.08.2018 (Part-III)

Total Questions: 50

11. A and B started a business with different investments. At the start of 2nd, 3rd and 4th quarter each, A and B invested additional amounts of Rs. 300 and Rs. 200 respectively and in the 4th quarter, amounts invested by them became equal. If annual profit was divided in the ratio of 5: 6 respectively, what was the investment with which A started the business?

Correct Answer: (3) Rs. 300
Solution:

Let A's initial investment be Rs. and that of B be Rs. .
According to the question,



Again
Ratio of the equivalent capitals of A and B for 1 month



6x+2700=5x+3000
6x5x=30002700
⇒  x=Rs. 300 11

12. The sum of the volumes of a right circular cone (N) and a right circular cylinder (L), both of height 18 cm each, is approximately 981 cm³. If N's radius is half of L's radius, what is the approximate value of the area of L's base? (in cm².)

Correct Answer: (1) 25
Solution:Radius of the base of cone
Radius of the base of cylinder
According to the question.

13. (With an investment of Rs. 899) and B started a business. 8 months from the start of the business, B left and C joined with an amount double of that of B. If A's share out of the total annual profit of Rs. 14005 was Rs. 5039.5, what was C's approximate investment? (in Rs.)

Correct Answer: (4) 2400
Solution:

Let the initial investment of B be Rs. .
Ratio of the equivalent capitals of A, B and C for 1 month

Sum of the terms of ratio
A's share

=3750

C's investment = Rs. 2400

14. Out of her monthly salary, Nupur spends 25% on houserent 1 and puts 3rd in her savings account. Out of the remaining salary, the respective ratio between the amount she invests in mutual funds and the amount spent for groceries is 2: 3. If the amount spent for groceries is Rs. 11990, what is Nupur's approximate month-ly salary? (in Rs.)

Correct Answer: (4) 48000
Solution:Nupur's monthly salary = Rs. House rent + deposit in saving


= Rs. 11990

= Rs. 48000

15. Liquid A and liquid B were mixed in an equal proportion in vessel X to form a 200 litre mixture. 50 litre of liquid C was added to the mixture in vessel X. 100 litres of this mixture was taken out and put in vessel Y. If 20 litres of liquid D was added to the mixture in vessel Y, what is the percentage of liquid C in vessel Y? (Rounded off to two digits after decimal)

Correct Answer: (1) 16.67
Solution:

Ratio of liquids A, B and C in vessel X
In vessel Y,

Total quantity = 120 litres

16. Article A was sold at a discount of 15% at a profit of 20%. The marked price of the article A was Rs. 12000. Article B was. sold at a discount of 10% at a profit of 10%. The marked price of article B was Rs. 11000. What is the difference between the profit earned by selling article A and article B?

Correct Answer: (3) Rs. 800
Solution:

Case-I,
C.P. of article-A = Rs.
According to the question,

Case-II,
C.P. of article-B = Rs.
According to the question,

Required difference
= Rs.

17. Study the above graph carefully and answer the given question :

The given graph shows the percentage of people who attended a 4-day cloth festival and the percentage of people who did shopping (out of the number of people who attended the festival on the respective days).

  • Total number of people who attended the festival in 4 days together is 80000.
  • Certain percentage of people out of those who attended the festival did shopping on their respective days (as given in the graph).
     What was the average number of people who attended the festival on Days 1, 3 and 4?
Correct Answer: (3) 20000
Solution:

Number of people who attended the cloth festival :
First day + Third day + Fourth day
of 80000

18. Study the above graph carefully and answer the given question :

The number of people who did shopping on Days 1 and 3 together was what percent of people who attended the festival on Day 3?

Correct Answer: (1) 40
Solution:

Number of people who did shopping :
First day

Third day

Their sum
Number of people who attended the cloth festival on day-3

19. Study the above graph carefully and answer the given question :

What was the respective ratio between the total number of people who did shopping on Days 1 and 2 together and the total number of people who attended the festival on Days 2 and 4 together?

Correct Answer: (1) 8 : 25
Solution:

Number of people who did shopping on day-1 and day-2

Number of people who attended
the cloth festival on day-2 and day-4
of

20. Study the above graph carefully and answer the given question :

What was the total number of people who did shopping on Days 1, 2 and 3 together?

Correct Answer: (5) 17600
Solution:

Number of people who did shopping in cloth festival :

=4800
Required answer