**Q1. In a bag, there are 20 balls of three different color i.e. red, green and black. Ratio of number of red balls to that of green balls is 2: 3. If the probability of choosing a black ball from the bag is 0.25 then, find the probability of choosing a red and a green ball from the bag if the ball chosen is not replaced. **

(a) 5/19

(b) 26/95

(c) 24/95

(d) 27/95

(e) None of these

**Q4. A shopkeeper allows two successive discounts of 15% and 10% on marked price of an article and customer also managed to get additional 10% discount on discounted price and in this way, he gets an additional discount of Rs.459. Find the price at which customer bought the article? **

(a) Rs. 4193

(b) Rs. 4281

(c) Rs. 4277

(d) Rs. 4131

(e) Rs. 4099

**Q5. Amount invested by C is Rs 4000 more than that of A and after 9 months, A and C both withdrew their whole amount and B joined the business with Rs. 24,000. If at the end of year, ratio of profit share of A to that of C is 2:3 then, find profit share by B out of total profit of Rs 14000? **

(a) Rs. 3600

(b) Rs. 4000

(c) Rs. 4400

(d) Rs. 3200

(e) Rs. 4000

**Q6. Train A travelling at the speed of 135 kmph overtook train B, which travelling in the same direction in 12 sec. The length of train A is two times of train B. If train B travels at twice of its speed, then train A would have taken 24 sec, then find the length of train B.**

(a) 200 meter

(b) 150 meter

(c) 75 meter

(d) 100 meter

(e) 135 meter

**Q9. 2k years ago, the ratio of age of A and B is 6 :11. The ratio of their ages was 3:7, 5k years ago. If 3k years later, the sum of their ages will be 98 years, then find the difference between their present ages.**

(a) 40 years

(b) 25 years

(c) 80 years

(d) 70 years

(e) 20 years

**Q10. Two friends Sanjay and Praveen bought two cars. Sanjay bought from store P where he get 25% discount and Praveen bought from store Q where he get two successive discount of d% and 10%. The market price of both cars on both stores is same. Sanjay bought the car at Rs 2,40,000. If Praveen paid Rs 4800 more than Sanjay, find the discount ‘d’?**

(a) 18%

(b) 20%

(c) 25%

(d) 15%

(e) 12.5%

**Solutions**