Directions: In the following questions two equations I and II are given. You have to solve both the equations and give answer :
1) if p > q
2) if p < q
3) if p <= q
4) if p >= q
5) if p = q or the relationship can't be determined
I. 10p^2 + 39p - 88 = 0
II. 21q^2 + 41q - 40 = 0
I. 14p^2 - 43p + 20 = 0
II. 33q^2 + 72q + 12 = 0
I. 56p^2 + 97p + 42 = 0
II. 99q^2 - 64q + 5 = 0
I. 16p^2 - 40p + 25 = 0
II. 25q^2 - 40q + 16 = 0
I. 15p^2 + 38p + 24 = 0
II. 20q^2 + 49q + 30 = 0
6. A mixture of milk and water contains 7% water. What quantity of pure milk should be added to 12 litres of mixture to reduce water to 4%?
1) 5 litres
2) 6 litres
3) 7 litres
4) 8 litres
5) None of these
7. Present ages of P and Q are in the ratio 4 : 5 respectively. Six years hence the ratio becomes 7 : 8. What is the sum of the present ages of P and Q?
1) 18 years
2) 30 years
3) 36 years
4) Can't be determined
5) None of these
8. A started a business investing Rs 10,000. B joined him after six months with an amount of Rs 8,000 and C joined them with Rs 12,000 after another six months. The amount of profit earned should be distributed in what ratio among A, B and C respectively, four years after A started the business?
1) 9 : 7 : 10
2) 10 : 9 : 7
3) 10 : 7 : 9
4) Can't be determined
5) None of these
9. A man bought some fruits at the rate of 4 for Rs 5 and sold them at the rate of 7 for Rs 8. What is the profit/loss per cent?
1) 8 4/7% profit
2) 8 4/7% loss
3) 9 3/8% profit
4) 9 3/8% loss
5) None of these
10. A, B and C can do a piece of work in 20, 30 and 100 days respectively. If A worked alone on the first day, B worked alone on the second day, C worked alone on the third day, A worked alone on the fourth day, and so on, then in how many days the work got completed?
1) 29 days
2) 28 days
3) 31 1/2 days
4) Can't be determined
5) None of these
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