Quantitative Aptitude

1. A cistern has 3 pipes A, B and C. A and B can fill it in 3 hours and 4 hours respectively while C can empty the completely filled cistern in 1 hour. If the pipes are opened in order at 3, 4 and 5 p.m. respectively, at what time will the cistern be empty?

(1) 6 : 15 p.m.

(2) 7 : 12 p.m

(3) 8 : 12 p.m.

(4) 8 : 35 p.m.

(5) None of these  

2. A steamer goes downstream from one port to another in 4 hours. it covers the same distance upstream in 5 hours. if the speed of stream is 2 km/hr., the distance between the two ports ?

(1) 50 km

(2) 60 km

(3) 70 km

(4) 80 km

(5) None of these 

3. In an alloy, zinc and copper are in the ratio 1 : 2. In the second alloy, the same elements are in the ratio 2 : 3. In what ratio should the two alloys be mixed so that the resultant alloy contains zinc and copper in the ratio 5 : 8?

(1) 3 : 10

(2) 3 : 7

(3) 10 : 3

(4) 7 : 3

(5) None of these

4. Mr. Nilesh Agrawal opened a workshop investing Rs. 40,000. He invested additional amount of Rs. 10,000 every year. After two years his brother Suresh joined him with an amount of Rs. 8,5000. Thereafter Suresh did not invest any additional amount. On completion of four years from the opening of workshop they earned an amount of Rs. 1,95,000. What will be Nilesh’s share in the earning? 

(1) Rs. 85000

(2) Rs.1,10,000

(3) Rs. 1,35,000

(4) Rs. 95,000

(5) None of these 

5. A tradesman, who was selling one kind of tea at Rs. 96 per kg with a loss of 20% and another kind at Rs. 140 per kg with a gain of 25%, mixes the two together in equal ratio. He sells the mixed tea at Rs. 174 per kg.What is his gain percentage? 

(1) 50%

(2) 45%

(3) 30%

(4) 25%

(5)  None of these

Directions (Q.6-10): Study the following graph carefully to answer the questions given below:

The table graph shows the monetary policy statement issued by the RBI in different quarters.

Quarters ® Rate ¯	Q1	Q2	Q3	Q4
Repo Rate	6.75%	8.5%	8.25%	8%
Reverse Repo	5.75%	7.5%	7.25%	7%
CRR	4%	4.25%	4.5%	4%
SLR	23%	22.5%	23.5%	22%
MSF	8%	8.5%	8.75%	9%
Bank Rate	8%	8.5%	8.75%	9%

6. The difference between the average of the rates of the fourth quarter and that of the first quarter ?

1) 0.67

2) 0.82

3) 0.58

4) 0.43

5) 0.51

7. The ratio of the sum of the Repo Rates in all the given quarters to that of the Reverse Repo Rates in all the given quarters ?

1) 63 : 55

2) 61 : 59

3) 79 : 42

4) 71 : 57

5) None of these

8. The sum of the Repo Rates in all quarters is what % of the sum of SLRs in all quarters?

1) 30.2%

2) 32.3%

3) 28.3%

4) 34.6%

5) 35.6%

9. The average of all the rates in the third quarter is what per cent (approx) of the average of all the rates of the first quarter?

1) 95%

2) 83%

3) 110%

4) 75%

5) 125%

10. What is the sum of the average of MSF and that of Bank Rates?

1) 15.251

2) 17.125

3) 18.15

4) 20.632

5) None of these

Answers:

1.2 

2.4

3.1

4.2

5.1

6.(3); Req. Difference=59/6-55.5/6=0.58 (approx)

7.(1); Ratio= 31.5 : 27.5 

= 63 : 55

8.(4); 31.5/91×100=34.6 (approx)

9.(3); Req%=61/55.5×100=110% (approx)

10.(2)