Q1. Two horse can complete a race of 5.4 km in 9 min and 6 min respectively. On a particular day, the faster horse gives a lead of 600 meters to the slower horse for race of 5.4km and both horses reach the destination at same time, then calculate the speed of slower horse on that day if faster horse ran with his usual speed?
(a) 54 km/hr
(b) 48 km/hr
(c) 36 km/hr
(d) can’t be determined
(e) 72 km/hr
Q2. Two filling pipes A and B can fill an empty tank in 16 hours and 24 hours respectively. Pipe A start filling alone and after 4 hours pipe B was also opened. When 50% of tank was filled, a leak was developed which could make empty the completely filled tank in 32 hours. It took 6 hours to find and close the leak. In how much time the tank was filled from start?
(a) 11 hr.
(b) 15 hr.
(c) 13 hr.
(d) 12.4 hr.
(e) 16 hr.
Q3. Two trains P and Q start running from Kanpur to Bhopal and Bhopal to Kanpur respectively. Both trains start at 8:00 A.M. If the distance between Bhopal and Kanpur is 720 km and if speeds of train P and Q is 80 km/hr and 90 km/hr respectively, then at what distance from Kanpur both trains meet?
(a) 340 km
(b) 6540/17 km
(c) 6480/17 km
(d) 5760/17 km
(e) None of these
Q4. In how many ways the letters of the word ‘CICUMSTANCES’ can be arranged such that all vowels came at odd places and T always comes at end of each letter?
(a) 115200
(b) 215200
(c) 120150
(d) 121500
(e) 114200
Q5. A mixture of 240 liters contains milk and water in the ratio of 5 : 3. A milkman mixes some more water in it and claim to sell it at cost price. If cost price of pure milk is Rs. 20/liter and water is freely available and milkman made a total profit of 80% on cost price of pure milk then find amount of water he mixed in the milk.
(a) 40 liters
(b) 30 liters
(c) 20 liters
(d) 35 liters
(e) 45 liters
Directions (6-10): The table given below shows the number of days taken by six workers to complete five different tasks in a field individually. Study the table carefully to answer the questions based on it.
Q6. If Ashfaq started digging alone and was coordinated by Mayank and Jatin respectively on alternate days from next day, find the number of days taken by them to complete the work?
(a) 32/3 days
(b) 47/4 days
(c) 28/3 days
(d) 39/4 days
(e) 14 days
Q7. Lokesh, Faisal and Jatin started watering in the field. But after 2 days Lokesh left and Jatin also left 2 days before completion of work. Find total number of days Faisal worked?
(a) 7 days
(b) 9 days
(c) 8 days
(d) 10 days
(e) 15 days
Q8. What is the difference in the number of days taken by Rakesh and Mayank together for seeding and than that of by Faisal and Jatin together for watering?
(a) 15/4 days
(b) 167/35 days
(c) 120/31 days
(d) 132/35 days
(e) None of these
Q9. What is the ratio of the average number of working days of Rakesh and that of Faisal if they have completed all the activities individually?
(a) 17 : 16
(b) 16 : 17
(c) 17 : 17
(d) 19 : 20
(e) 13: 15
Q10. Mayank, Faisal and Rakesh together started ploughing while at the same time Jatin, Lokesh and Ashfaq started watering. What is the time difference in the completion of the two works?
(a) 232/67days
(b) 24/7days
(c) 10/7days
(d) 98/67days
(e) None of these
Directions (11-15): What approximate value should come in the place of the question mark (?) in the following questions? (You are not expected to calculate the exact value.)
Q11. 17.9% of 324.98 – 23.9% of 199.89 = ?
(a) 10
(b) 5
(c) 15
(d) 13
(e) 21
Q12. 5068 ÷ 37 × 4 = ?
(a) 660
(b) 448
(c) 520
(d) 548
(e) 521
Q13. (6.98)^2 × (4.95)^2=?
(a) 1243
(b) 1225
(c) 1235
(d) 1345
(e) 1320
Q14. √5929.08÷∛1330.87= ?
(a) 10
(b) 7
(c) 9
(d) 12
(e) 11
Q15. 39.91×44.9÷4.95= ?
(a) 376
(b) 391
(c) 374
(d) 353
(e) 360