Direction (Q. 1-5) : In each of these questions, two equations (I) and (II) are given. You have to solve both equations and give answer :
1) If x < y
2) If x > y
3) If x = y or no relationship can be established between x and y.
4) If x >= y
5) If x <= y
I. x^2 = 1/4
II. 2y^2 - 7y + 3 = 0
I. 3x^2 + 11x - 4 = 0
II. y^2 - 5y + 6 = 0
I. x^2 + 12x + 35 = 0
II. y^2 + 15y + 56 = 0
I. x^2 – x – 6 = 0
II. y^2 + 3y – 4 = 0
I. x^2 - 7x + 12 = 0
II. y^2 - 11y + 30 = 0
Directions (Q. 6-7) : Study the information given below and answer the questions carefully :
Ramesh, Dinesh and Ganesh completed a job in 12 days. They worked together for 4 days in which they completed 44% of the total work. But due to unavoidable circumstances Ramesh quits the job at this point. Work done by Dinesh in 3 days is equal to the work done by Ganesh in 4 days.
6. Find the time taken by the fastest worker to complete the job.
1) 21.875 days
2) 23.475 days
3) 18.245 days
4) 17.465 days
5) None of these
7. Find by what per cent the slowest worker is less efficient than the second fastest worker?
1) 13.54%
2) 12.5%
3) 37.5%
5) None of these
8. 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
9. With the help of the digits 1, 2, 3 and 4 find the sum of all 4 – digits numbers provided that the digits are not repeated.
1) 66,660
3) 40375
4) 100013
5) 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
2) 10 cm
3) 11 cm
4) 12 cm
5) None of these
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