RBI OFFICER GRADE ‘B’ PHASE-I EXAM Held on : 22.11.2015 (Part-I)

Total Questions: 50

1. Ram has two articles A and B. The total cost of both articles is Rs. 8000. Ram sells article A at the profit of 20% and article B at a loss of 12%. There is neither profit nor loss in the whole transaction. At what price should the article B be sold to gain 25%?

Correct Answer: (1) Rs. 6250
Solution:

2. A, B and C start a business in partnership with respective initial investments of Rs. 4200, Rs. 3600 and Rs. 2400. After 4 months from the start of the business, A invests an additional amount of Rs. 1000 in the business. After 6 months from the start of the business B and C invest additional amounts in the respective ratio of 1 : 2. After 10 months they get a total profit of Rs. 2820. If the share of A in profit be Rs. 1200, what was the additional investment made by B?

Correct Answer: (2) Rs. 400
Solution:

Let additional investments of B and C respectively after 6 months Rs. and Rs. Ratio of the equivalent capitals of A, B and C for 1 month

3. In a village 60% votes were cast in an election. A and B were the contestants. A won by 600 votes. If B had got 40% more votes, there would have been a tie between them. Find the number of recognised voters in the village.

Correct Answer: (3) 3500
Solution:

4. In a vessel there is a certain quantity of mixture of milk and water in the ratio 5 : 1 respectively. 24 litres of mixture is taken out and same quantity of milk is added to the vessel. The ratio of milk and water now becomes 13 : 2 respectively. Again 15 litres of mixture is taken out. What is the quantity of milk in the resulting mixture? (in litres)

Correct Answer: (4) 91 litres
Solution:

5. A certain amount is invested in scheme A for 6 years which offers simple interest at the rate of x% per annum. The same amount is invested in scheme B for 2 years which offers compound interest compounded annually at the rate of 10% per annum. Interest earned from scheme A is twice to that earned from scheme B. If the rate of interest of scheme A had been (x+2)% per annum, the difference between the interests after corresponding periods would have been Rs. 3960. What is the amount invested in each scheme?

Correct Answer: (3) Rs. 33000
Solution:

6. Poorvi's age 8 years ago is equal to the sum of present ages of her son and her daughter. 5 years hence, the ratio between her daughter's age and her son's age will be 7 : 6 respectively. Poorvi's husband is 7 years elder than her. His husband's present age is thrice the present age of his son. What is their daughter's present age?

Correct Answer: (1) 23 years
Solution:

After 5 years from today,
Daughter's age years
Son's age years

7. Study the following table carefully and answer the questions given below it.

Runs scored by 6 batsmen and their strike rate in a tournament (Strike rate)

BatsmenMatches played in the tournamentAverage runs scored in the tournamentNumber of balls faced in the tournamentStrike rate in the tournament
A8--125
B2081--
C-38400114
D---72
E28551280-
F---66

The total number of balls faced by batsman A in the tournament is 74 less than that of total runs scored. What are the average runs scored by batsman A in the tournament?

Correct Answer: (1) 46.25
Solution:

Total runs scored by
batsman A (let)
Strike rate

8. In the tournament, batsman D faced 25% more balls than that of batsman E. How many runs were scored by batsman D?

Correct Answer: (3) 1152
Solution:

Number of balls faced by batsman D

9. If the batsman F played 25 matches in the tournament and he faced a total of 1250 balls, what were his average runs in the tournament?

Correct Answer: (2) 33
Solution:

Total runs scored by
batsman F (let)

10. If the strike rate of batsman B be 162, what was the total number of balls faced by him in the tournament?

Correct Answer: (4) 1000
Solution:

Total runs scored by batsman B

If the number of balls faced
by batsman B be , then