Directions (3 – 4): A ship of police can cover 16.8 km upstream in 48 minutes when travelling at its usual speed. The ratio of speed of ship in still water to speed of stream is 8: 1.
Q3. A pirate (with his boat) saw the police ship 1250 m away which running in downstream, towards him, and after 6 seconds she realized that it’s a police ship. She started running at the speed of 42 km/hr away from the police ship. After 10 seconds more police realized boat was running away, so they started chasing her with 125% more speed than their usual speed. Find total time from starting in which police will catch the her?
Assume that they both ran in a straight line.
(a) 376.5 sec
(b) 392.5 sec
(c) 388.5 sec
(d) 396.5 sec
(e) 400.5 sec
Directions (5- 6): P, Q & R entered into a business by making investment in the ratio of 6 : 8 : 9 respectively. If after a year P & Q added Rs. 1200 and Rs. 400 respectively, while R withdrew Rs. 800 from his initial investment. After second year P, Q & R added Rs. 1600, Rs. 2000 & Rs. 2500 respectively.
Q5. If Q & R invested respective equal amount what they invested for third year in business at the rate of 20% and 10% in simple interest and they get total interest of Rs. 6300 after two years, then find the amount invested by Q & R in third year?
(a) Rs. 12000 & Rs. 12600
(b) Rs. 14400 & Rs. 14700
(c) Rs. 10400 & Rs. 10700
(d) Rs. 12200 & Rs. 12500
(e) Rs. 18200 & Rs. 17900
Q6. If P & Q invested 75% and 50% of respective equal amount as what they invested for second year in business at the rate of 15% and 20% on simple interest for three and two years respectively. At end P got Rs. 665 more as interest than what Q got. Find total initial investment of P, Q & R together?
(a) Rs. 18800
(b) Rs. 19600
(c) Rs. 18400
(d) Rs. 24400
(e) Rs. 22800
Directions (7 – 10): Table given below shows the number of police stations in six different cities, total number of police in these police stations and ratio of total male police to total female police in each city. Some of the data is missing, calculate that missing data according to condition given in question and answer the given questions.
Note: Average number of police in each police stations is same for each city.
Q7. 5/18th of number of total female police of city P is 200 and average number of police in a police station is 60. Find number of police station in city P is what percent more or less than the number of police stations in city R. Given that average number of police in each police station of city R is 80?
Q8. 13/25th of total number of female police in city U are married and remaining female police are unmarried and difference between married and unmarried female police is 64. Find ratio between average number of police in each police station of city U to average number of police in each police station in city R.
(NOTE: Average number of police in each police station in city R is same as mentioned in previous question)
(a) 4 : 5
(b) 23 : 48
(c) 25 : 48
(d) 5 : 8
(e) 25 : 27
Q9. If in city T daily wage of one male police is Rs. 500 and that of female police is Rs. 300. If total expenditure on total per day wage of police in city T is Rs. 525000. Find the ratio of number of female police to total number of police of city T.
(a) 35 :84
(b) 35 :119
(c) 84 :35
(d) 119 :84
(e) 84 :121
Q10. In city Q, if average number of female police in each police station is 20 and in city S average number of police in each police station is 110. Find average number of male police in city Q and S together. (Given that in city S ratio between number of male police to female police is 7 : 4)?