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Directions (1-5): In the following questions three equations numbered I, II and III are given. You have to solve all the equations either together or separately, or two together and one separately, or by any other method and give answer If

Q1. I. 7x + 6y + 4z = 122 II. 4x + 5y + 3z = 88 III. 9x + 2y + z = 78

1. x< y = z 2. x < y < z 3. x < y > z 4. x = y > z

5. x = y = z or if none of the above relationship is established

Q2. I. 7x + 6y =110 II. 4x + 3y = 59 III. x + z = 15

1. x< y = z 2. x < y < z 3. x < y > z 4. x = y > z

5. x = y = z or if none of the above relationship is established

Q3. I. x = ([(36)^(1/2)×(1296)^(1/4) ] )^(1/2) II. 2y + 3z = 33 III. 6y + 5z = 71

1. x< y = z 2. x < y < z 3. x < y > z 4. x = y > z

5. x = y = z or if none of the above relationship is established

Q4. I. 8x + 7y= 135 II. 5x + 6y = 99 III. 9y + 8z = 121

1. x< y = z 2. x < y < z 3. x < y > z 4. x = y > z

5. x = y = z or if none of the above relationship is established

Q5. I. (x + y)^3= 1331 II. x – y + z = 0 III. xy = 28

1. x< y = z 2. x < y < z 3. x < y > z 4. x = y > z

5. x = y = z or if none of the above relationship is established

Q6.The area of a rectangular field is 460 square metres. If the length is 15 per cent more than the breadth, what is breadth of the rectangular field?

1.15 metres 2. 26 metres 3. 34.5 metres 4. Cannot be determined 5. None of these

Q7.What will be the cost of gardening 1 metre broad boundary around a rectangular plot having perimeter of 340 metres at the rate of Rs. 10 per square metre?

1.Rs. 3,400/- 2. Rs. 1.700/- 3. Rs. 3440/- 4. Cannot be determined 5. None of these

Q8.What would be the cost of building a 7 metres wide garden around a circular field with diameter equal to 280 metres if the cost per sq. metre for building the garden is Rs. 21?

1. Rs. 1,56,242 2. Rs. 2,48,521 3. Rs. 1,11,624 4. Rs. 2,06,118 5. None of these

Q9. Tap A fills a tank with water in 10 hrs. Tap B fills the same tank with milk in 12.5 hrs. A man who wanted to fill the tank with the mixture starts tap A first in a tank, which already contains 8% milk of its own capacity. After two hours he also starts tap B till the tank gets filled completely. In what proportion should he mix this solution with the other one containing water and milk in the ratio 2 : 3, so that the new solution will contain half milk and half water?

1. 4 : 5 2. 5 : 4 3. 3 : 7 4. 14 : 15 5. None of these

Q10. The sides of a triangle are in the ratio of 1/2 : 1/3 : 1/4. If the perimeter is 52cm, then the length of the smallest side is

1. 9 cm 2. 10 cm 3. 11 cm 4. 12 cm 5. None of these

Q11. When a person reduces his speed from 42 km/hr to 36 km/hr he takes 20 min more than his usual time taken. Find the usual time taken by him?

1. 2 hr 2.1.5 hr 3.2.25 hr 4.Can’t be determined 5.None of the above

Q12. A boat takes 90 minutes less to travel 36 km downstream than to travel the same distance upstream. If the speed of the boat in still water is 10km/hr, the speed of stream is:

1. 4 km/hr 2. 3 km/hr 3. 2 km/hr 4. Can’t be determined 5. None of the above

Q13. Two trains start at the same time from A and B and proceed towards each other at 80 km/hr and 95 km/hr respectively, when the trains meet, it is found that one has travelled 180 km more than the other. Find the distance between A and B.

1. 210 km 2. 2100 km 3. 2000 km 4. 2010 km 5. None of the above

Q14. A car covers a distance between two cities at a speed of 60 km/hr and on the return his speed is 40 km/hr. He goes again from the 1st to 2nd city at twice the original speed and returns at half the original return speed. Find his average speed for the entire journey.

1. 55 km/hr 2. 48 km/hr 3. 50 km/hr 4. 40 km/hr 5. None of the above

Q15. A train leaves Manipur at 6:am and reaches Dispur at 10 am. Another train leaves Dispur at 8:am and reaches Manipur at 11:30 am. At what time do the two trains cross each other?

1. 7:56 am 2. 8:56 am 3. 8:56 pm 4. Can’t be determined 5. None of the above

Q16. A man decides to travel 80 km in 8 hr. partly by foot and partly on a bicycle. If his speed on foot is 8 km/hr and on bicycle 16 km/hr, what distance would he travel on foot?

1. 20 km 2. 48 km 3. 30 km 4. 60 km 5. None of the above

Q17. A train travels at the rate of 50 km/hr without stoppages and it travels at 40 km/hr with stoppages. How many minutes does the train stop on an average per hour? (a) (b) (c) (d) (e)

1. 6 min 2. 12 min 3. 18 min 4. 14 min 5. None of the above

Q18. Amit walks at a uniform speed of 4 km/hr and 4 hr after his start, Brijesh cycles after him at the uniform rate of 20 km/hr. How far from the starting point will Brijesh catch Amit?

1. 15 km 2. 18 km 3. 13 km 4. 20 km 5. None of the above

Q19. If Sohali walks from his home to office at 16 km/hr he is late by 5 min. If he walks at 20 km/hr, he reaches 10 min before the office time. Find the distance of his office from his house.

1. 22 km 2. 20 km 3. 18 km 4. 16 km 5. None of the above

Q20. A takes 4 hr more than the time taken by B to walk D km. If A doubles his speed, he can make it in 2 hr less than that of B. How much time does B require for walking D km.

1. 8 hr 2. 4 hr 3. 6 hr 4. 9 hr 5. None of the above