**Q1. A vessel contains ‘x’ liter mixture of water and sanitizer in the ratio 5:6. If 22 liters of mixture is removed and 10 liter of sanitizer is added, then ratio of water to sanitizer becomes 1:3. Find the value x.**

(a) 310/9

(b) 308/9

(c) 311/9

(d) 317/9

(e) 319/9

**Q3. H, J and L started a business investing Rs.8000, Rs.10000 & Rs.12000 respectively. They decided that 20% of their net profit will go to donation, 30% of remaining profit will be divided equally and rest profit will be divided according to their investment. If profit at the end of the year was Rs.8400, then find the profit share of J.**

(a) Rs.2912

(b) Rs.2240

(c) Rs.2160

(d) Rs.2080

(e) Rs.1800

**Q4. Boat A cover 210 km downstream in 5 hours. Ratio of speed of boat A in still water to speed of stream is 5:2 respectively. If speed of boat B in still water is 25% more than speed of boat A in still water, then find the time taken by Boat B to cover 297 km downstream.**

(a) 6 hours

(b) 4 hours

(c) 6.5 hours

(d) 5.5 hours

(e) 8 hours

**Q5. 270-meter-long train crosses a pole in 18 sec. If ratio of length of train to a platform is 18:7, then find the time taken by train to cross the platform (in sec.). **

(a) 22 sec

(b) 28 sec

(c) 20 sec

(d) 18 sec

(e) 25 sec

**Q6. 40 liters of mixture of juice and water contains 20 liters more juice than water in it. If 24 liters of mixture taken out from the mixture and 16 liters of water mixed into it, then find respective ratio of Juice and water in the resultant mixture.**

(a) 5:3

(b) 1:2

(c) 2: 1

(d) 3:5

(e) None of these

**Q7. The ratio of the present age of D and E is 3:4 respectively. If 5 years hence, ratio of the ages of D to E will become 4:5, then find the present age of E.**

(a) 22 years

(b) 24 years

(c) 18 years

(d) 15 years

(e) 20 years

**Q8. The difference between the circumference of circle P and circle Q is 132 cm. If radius of circle Q is 4 times of radius of circle P, then find the area of circle Q.**

(a) 2404 cm²

(b) 2464 cm²

(c) 2214 cm²

(d) 2004 cm²

(e) 2124 cm²

**Q9. K and G entered into a partnership by investing Rs.8400 and Rs.9000 respectively. If K invested his sum only for 8 months and the total annual profit earned by them together is Rs.10950, then find the profit share of G.**

(a) Rs.6250

(b) Rs.6450

(c) Rs.6850

(d) Rs.6750

(e) Rs.6550

**Q10. Ratio of speed of boat in still water to speed of stream is 6:1 respectively. If the upstream speed of boat 20 km/h, then find the time taken by boat to cover 126 km in downstream.**

(a) 4.2 hours

(b) 4.5 hours

(c) 5.5 hours

(d) 5 hours

(e) 6 hours

**Q11. A started a business with investing of Rs.2500 and after some months B joined him with investing Rs.3000. If at the end of the year total profit is Rs.1980 and A received Rs.1100, then find for how many months did B joined the business.**

(a) 8 months

(b) 6 months

(c) 2 months

(d) 4 months

(e) 10 months

**Q12. The average of present ages of A, B & C is 31 years and average of present ages of A and C is 32 years. Eight years ago, age of C was 5/7th of age of B. Find the present age of A.**

(a) 48 years

(b) 44 years

(c) 56 years

(d) 60 years

(e) 41 years

**Q13. An article was marked 60% above the cost price and then sold after giving two successive discounts of 25% and 10% respectively. If shopkeeper earned profit of Rs.120, then find the cost price of article.**

(a) Rs.1000

(b) Rs.1200

(c) Rs.1600

(d) Rs.1500

(e) Rs.1800

**Q14. The circumference of a circle is 132 cm and radius of the circle is equal to length of a rectangle. If perimeter of the rectangle is 76 cm, then find the area of the rectangle.**

(a) 357 cm²

(b) 340 cm²

(c) 398 cm²

(d) 305 cm²

(e) 372 cm²

**Q15. The speed of boat in still water is 12 km/hr while its speed in downstream is 16 km/h. Find the time taken by boat to cover 112 km in upstream.**

(a) 12 hours

(b) 14 hours

(c) 16 hours

(d) 18 hours

(e) 10 hours

**Solutions**