**Q1. The time taken by a boat for covering ‘X – 18’ km upstream is equal to time taken by it for covering ‘X’ km downstream. If upstream speed is 6 km/hr less than downstream speed and speed of boat in still water in 15 kmph. Find X.**

(a) 45 km

(b) 54 km

(c) 40 km

(d) 48 km

(e) 60 km

**Q2. Mohan has two sons named Ram and Karan. The ratio of age of Mohan and Ram is 5 : 2 and that of Ram and Karan is 8 : 5. Also, Ram is 6 years elder than Karan. Find the ratio of their ages after 10 years.**

(a) 23 : 10 : 4

(b) 25 : 16 : 9

(c) 25 : 13 : 10

(d) 50 : 26 : 19

(e) 25 : 16 : 10

**Q3. An alloy ‘A’ made of Copper and Zinc contain 40% copper and another alloy ‘B’ having same elements contain 30% zinc. A new alloy is made by mixing both alloys which contain 60% copper. Find the ratio of quantity of alloy A and alloy B in the new alloy?**

(a) 1 : 2

(b) 3 : 4

(c) 2 : 1

(d) 4 : 3

(e) 5 : 3

**Q4. A bag contain 6 red balls, 3 green balls and 4 blue balls. Find the probability of selecting 3 balls such that 2 balls are of same colour ?**

(a) 221/286

(b) 191/286

(c) 175/286

(d) 189/286

(e) 211/286

**Q5. In 2017, A village consist of males and females in the ratio of 5 : 4. If the difference between number of males and number of females in the year 2017 is 990 and population increases by 10% every year. Find number of males in 2018 if the ratio between males and females remains same every year ?**

(a) 5000

(b) 5500

(c) 5445

(d) 4950

(e) 4875

**Q6. 21 men can do a piece of work in 15 days and 35 women can do a piece of work in 11 days. With the same efficiency 18 men and 20 women can do another piece of work in ‘(Y – 4)’ days and ‘Y’ days respectively. Find the value of Y?**

(a) 40

(b) 44

(c) 35

(d) 38

(e) 39

**Q7. What are the ways in which a committee of 7 people can be formed from a group of 5 girls and 6 boys such that the committee will always have more number of boys than girls?**

(a) 210

(b) 200

(c) 270

(d) 215

(e) 220

**Q8. Train A crosses a platform of 98 m length in 24 sec. Another Train B of same length as Train A crosses a pole in 12 sec. If speed of train A is 20% more than speed of train B. Find length of train A.**

(a) 80 m

(b) 65 m

(c) 70 m

(d) 75 m

(e) 90 m

**Q9. Raj invested Rs. 15000 in scheme ‘A’ at rate of 18% p.a. simple interest for 3 years and Riya invested Rs. 18000 in scheme ‘B’ which offers 15% p.a. compound interest in 2 years. Find the difference between the interest earned from these two schemes?**

(a) Rs. 2295

(b) Rs. 2400

(c) Rs. 2500

(d) Rs. 2345

(e) Rs. 2100

**Q10. Ram, Mohan and Jai started a business by investing money in the ratio 37 : 31 : 23 for a year. If the difference between Ram and Jai’s share of profit at the end of 1 year was Rs. 3380. Find the total profit earned by three of them at the end of an year?**

(a) Rs. 21000

(b) Rs. 16900

(c) Rs. 18500

(d) Rs. 20400

(e) Rs. 21970

**Solutions**

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