**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**

**1. I. 7x + 6y + 4z = 122**

**II. 4x + 5y + 3z = 88**

**III. 9x + 2y + z = 78**

x< y = z

x < y < z

x < y > z

x = y > z

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

**2. I. 7x + 6y =110**

**II. 4x + 3y = 59**

**III. x + z = 15**

x< y = z

x < y < z

x < y > z

x = y > z

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

**3. I. x = ([(36)^(1/2)×(1296)^(1/4) ] )^(1/2)**

**II. 2y + 3z = 33**

**III. 6y + 5z = 71**

x< y = z

x < y < z

x < y > z

x = y > z

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

**4. I. 8x + 7y= 135**

**II. 5x + 6y = 99**

**III. 9y + 8z = 121**

x< y = z

x < y < z

x < y > z

x = y > z

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

**5. I. (x + y)^3= 1331**

**II. x - y + z = 0**

**III. xy = 28**

x< y = z

x < y < z

x < y > z

x = y > z

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

**6.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?**

15 metres

26 metres

34.5 metres

Cannot be determined

None of these

**7.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?**

Rs. 3,400/-

Rs. 1.700/-

Rs. 3440/-

Cannot be determined

None of these

**8.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?**

Rs. 1,56,242

Rs. 2,48,521

Rs. 1,11,624

Rs. 2,06,118

None of these

**9. 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?**

4 : 5

5 : 4

3 : 7

14 : 15

None of these

**10. 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**

9 cm

10 cm

11 cm

12 cm

None of these

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