**DIRECTIONS (1-3): In a mobile game quiz, 10 questions are asked with three options conducted only once in a day at a fix time. If you choose a wrong answer, you are eliminated. To win the game, you must answer all question correctly.**

**Q3. What is the probability of his winning with 1 mobile, if he knew 5 questions, and have doubt in 2 options of other 3 questions, and remaining 2 questions are totally unknown to him? **

(a) 1/8

(b) 1/72

(c) 1/36

(d) 1/27

(e) 1/45

**DIRECTIONS (4-5): A shopkeeper gives a 20% discount on MRP on each ball and if someone bought 45 balls at discounted price, he will also get 15 balls free. Even after selling balls 60 balls on the price of 45, shopkeeper earns 20%.**

**Q4. Find ratio of MRP of 1 ball to CP[for shopkeeper] of 1 ball. **

(a) 2 : 1

(b) 5 : 1

(c) 10 : 1

(d) 3 : 1

(e) 4 : 1

**Q5. Rahul paid price for 60 balls and Vikas paid the price for 90 balls. Average price per ball paid by Rahul is how much % more than that of Vikas.**

(a) 66⅔%

(b) 53⅔%

(c) 25⅔%

(d) 18⅔%

(e) 6⅔%

**Directions (6 – 7): A ship of police can cover 16.8 km upstream in 48 minutes when travelling at its usual speed. The ratio of speed of ship in still water to speed of stream is 8 : 1.**

**Q6. A pirate (with his boat) saw the police ship 1250 m away which running in downstream, towards him, and after 6 seconds she realized that it’s a police ship. She started running at the speed of 42 km/hr away from the police ship. After 10 seconds more police realized boat was running away, so they started chasing her with 125% more speed than their usual speed. Find total time from starting in which police will catch the her?**

**Assume that they both ran in a straight line. **

(a) 376.5 sec

(b) 392.5 sec

(c) 388.5 sec

(d) 396.5 sec

(e) 400.5 sec

**Directions (8- 9): P, Q & R entered into a business by making investment in the ratio of 6 : 8 : 9 respectively. If after a year P & Q added Rs. 1200 and Rs. 400 respectively, while R withdrew Rs. 800 from his initial investment. After second year P, Q & R added Rs. 1600, Rs. 2000 & Rs. 2500 respectively.**

**Q8. If Q & R invested respective equal amount what they invested for third year in business at the rate of 20% and 10% in simple interest and they get total interest of Rs. 6300 after two years, then find the amount invested by Q & R in third year? **

(a) Rs. 12000 & Rs. 12600

(b) Rs. 14400 & Rs. 14700

(c) Rs. 10400 & Rs. 10700

(d) Rs. 12200 & Rs. 12500

(e) Rs. 18200 & Rs. 17900

**Q9. If P & Q invested 75% and 50% of respective equal amount as what they invested for second year in business at the rate of 15% and 20% on simple interest for three and two years respectively. At end P got Rs. 665 more as interest than what Q got. Find total initial investment of P, Q & R together?**

(a) Rs. 18800

(b) Rs. 19600

(c) Rs. 18400

(d) Rs. 24400

(e) Rs. 22800

**Q10. How many integral solutions of equation x + y + z = 15 can be formed in which x > 1, y > 2, z > 3? **

(a)35

(b)14

(c)21

(d)28

(e)42

**Solutions**