**Directions (1-5): In each of these questions, two equations I and II are given. You have to solve both the equations and give answer.**

(a) x>y

(b) x<y

(c) x≥y

(d) x≤y

(e) x=y or no relation can be established between x and y

**Q1.** I. 9y²+17y+8=0

II. x+y=4

**Q2.** I. 3x²+9√3 x+18=0

II. ∜4 y=√(2y²+9y+7)

**Q3.**

**Q4.** I. 729x²-625x²=5096

II.√169 y³-10y³=2187

**Q5.** I. x²-y²=51

II. x+y=17

**Directions (6-10): Given line graph shows the opening & closing stock of a District Oil Distributor Centre and the price of oil for 4 different days. Study the graph carefully and answer the questions.**

**Note:-** 1 cubic meter=1000 litre

**Q6. Find the amount earned on Thursday. (in lakh)**

(a) 14

(b) 17

(c) 18

(d) 15

(e) 16

**Q7. Volume of oil sold on Monday & Tuesday together is what percent more/less than average volume of oil sold on all days together?**

(a) 66⅔%

(b) 40

(c) 33⅔%

(d) 66⅓%

(e) 33⅓%

**Q8. What is total earning for all the mentioned days? (in lakhs)**

(a) 3.9

(b) 0.39

(c) 38.75

(d) 0.039

(e) 39.75

**Q9. If on Friday, the sale decreases by 10% as compared to that on Thursday but the price increased by 20%. Find ratio of earning on Wednesday & Friday together to that on Monday, Tuesday & Thursday together.**

(a) 577:740

(b) 540:579

(c) 740:577

(d) 579:740

(e) None of these

**Q10. On how many days, does the earning exceeds the average earning of the week if sale occurred on Friday is also counted. (Use sale data on Friday from previous question)**

(a) 3 days

(b) 4 days

(c) 2 days

(d) 5 days

(e) 1 days

**Q11. A and B together can do a piece of work in 48 days and B & C together do the same work in 36 days. If first 24 day A work alone next 36 days B work alone and remaining work complete by C in 20 days, then find in how many days A and C complete work together? **

(a)27⅘days

(b)22 ⅘days

(c)25 ⅘days

(d)26 ⅘days

(e)28⅘days

**Q12. A boat travelled with the direction of the current from point A to B, and return against the current and stop at point C. Distance between B and C is 75% of, distance between A and B. given speed of current is 6 km/hr and speed of boat still water is 150% of current speed and boat takes 9.5 hr to complete whole journey of A to C. then find the total distance covered by boat? **

(a) 30.5 km

(b) 52.5 km

(c) 42.5 km

(d) 48.5 km

(e)None of these

**Q13. There is five pink and four white balls in a bag. Three ball choose randomly, what is probability of at least one ball is pink and at most two are white ball ? **

(a) 20/21

(b) 30/31

(c) 41/40

(d) 40/41

(e)None of these

**Q14. A train can travel 100% faster than a car. Both start from point A at the same time and reach point B 150 km away from A at the same time on the way however train lost about 30 minutes while stopping at a station. Find the speed of car ? **

(a) 115 km/hr

(b) 120 km/hr

(c) 125 km/hr

(d) 75 km/hr

(e) 150 km/hr

**Solutions**