Directions (1-5): In the following questions two equations I and II are given. You have to solve both the equations and give answer:
(a) if p > q
(b) if p < q
(c) if p <= q
(d) if p >= q
(e) if p = q or the relationship can’t be determined
Q1.
I. 10p2 + 39p – 88 = 0
Q2.
I. 14p2 – 43p + 20 = 0
II. 33q2 + 72q + 12 = 0
Q3.
I. 56p2 + 97p + 42 = 0
II. 99q2 – 64q + 5 = 0
Q4.
I. 16p2 – 40p + 25 = 0
II. 25q2 – 40q + 16 = 0
Q5.
I. 15p2 + 38p + 24 = 0
II. 20q2 + 49q + 30 = 0
Q6. 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%?
(a) 5 litres
(b) 6 litres
(c) 7 litres
(d) 8 litres
(e) None of these
Q7. 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?
(a) 18 years
(b) 30 years
(c) 36 years
(d) Can’t be determined
(e) None of these
Q8. 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?
(a) 9 : 7 : 10
(b) 10 : 9 : 7
(c) 10 : 7 : 9
(d) Can’t be determined
(e) None of these
Q9. 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?
(a) 8 (4/7)% profit
(b) 8 (4/7)% loss
(c) 9 (3/8)% profit
(d) 9 (3/8)% loss
(e) None of these
Q10. 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?
(a) 29 days
(b) 28 days
(c) 31 (1/2) days
(d) Can’t be determined
(e) None of these
Directions (11-15): What approximate value should come in the place of question mark (?) in the following questions?
Q11. 28. 948 + 37.008 + 46.998 – 195.99 – 784.01 = ?
(a) 71
(b) 79
(c) 85
(d) 55
(e) None of these
Q12. (31.98)2 – (35.02)2 + (19.03)2 = ?2 + √(255)
(a) ± 13
(b) ± 18
(c) ± 9
(d) ± 15
(e) ± 12
Q13. (779 + 553) ÷ 33. 3 + 528 = ?/9
(a) 5012
(b) 5112
(c) 5462
(d) 5222
(e) 5812
Q14. 71 – 1596 ÷ 57 ÷ 4 = ?
(a) 62
(b) 54
(c) 68
(d) 64
(e) 66
Q15. (3496 – 1002) ÷ 43 × 12 = 456 + ?
(a) 220
(b) 260
(c) 240
(d) 250