**Q1. A boy walking at a speed of 10 km/h reaches his school 12 min late. Next time at a speed of 15 km/h reaches his school 7 min late. Find the distance of his school from his house? **

(a)2.5km

(b)5km

(c)3km

(d)6km

**Q2. A boat travels 30 km upstream in 5 hours and 100 km downstream in 10 hours. Find the speed of the boat in still water and the speed of the stream in km/hr.**

(a) 8, 3

(b) 8, 2

(c) 7 ,2

(d) 6,3

**Q3. The speed of a boat in still water is 15 km/h and the rate of stream is 5 km/h. The distance travelled downstream in 24 minutes is **

(a) 4 km

(b) 8 km

(c) 6 km

(d) 16 km

**Q4. Mohan covers a distance of 150 m in a certain time. If he increases his speed to 4 times his original speed, the time taken reduces by 30 seconds. Find the original time taken.**

(a) 35 seconds

(b) 40 seconds

(c) 38 seconds

(d) 45 seconds

**Q5. A boy walks from his home to school at 9 kmph, reaches the school 12 minutes early. If he walks from his home to school at 6 kmph, he reaches the school 6 minutes late. Find the time taken by him to go to school if he walks at 12 kmph.**

(a) 40 minutes

(b) 20 minutes

(c) 45 minutes

(d) 27 minutes

**Q6. The annual payment that will discharge a debt of Rs. 47250 due 3 years, hence at the rate of 5% simple interest is: **

(a) Rs. 8000

(b) Rs. 10000

(c) Rs. 15000

(d) None of these

**Q7. The annual installment that will discharge a debt of Rs. 4200 due in 5 years at 10% simple interest is: **

(a) Rs. 700

(b) Rs. 750

(c) Rs. 800

(d) None of these

**Q8. A sum of money at simple interest becomes four times in 24 years. The rate per cent of interest per annum is: **

(a) 13 (3/4)%

(b) 12 (1/2)%

(c) 11 (3/4)%

(d) None of these

**Q9. If a sum of Rs. 9 is lent to be paid back in 10 equal monthly instalments of Rs. 1 each, then the rate of interest is: **

(a) 266 (2/3)%

(b) 265 (3/4)%

(c) 266%

(d) None of these

**Q10. Mr Gupta deposits Rs. 3000 in a bank at 10% per annum and Rs. 5000 in another bank at 8% per annum. The rate of interest for the whole sum is: **

(a) 8 1/2%

(b) 8 3/4%

(c) 8%

(d) None of these

**Q11. What will be the difference between simple and compound interest on a sum of Rs. 4500 put for 2 years at 5% per annum? **

(a) Rs. 12.25

(b) Rs. 11.50

(c) Rs. 12

(d) Rs. 11.25

**Q12. Three pots have the same volume. The ratio of milk and water in first, second and third pots are 3 : 2, 7 : 3 and 11 : 4, respectively. If the liquid of three pots are mixed, then the ratio of milk and water in the mixture is: **

(a) 61 : 29

(b) 61 : 30

(c) 5 : 4

(d) 29 : 61

**Q13. If p : q = r : s :: t : u = 2 : 3, then (mp + nr + ot) : (mq + ns + ou) is equal to: **

(a) 1 : 3

(b) 1 : 2

(c) 2 : 3

(d) 3 : 2

**Q14. If a : b = 2 : 3 and b : c = 4 : 5, find a^2:b^2:bc: **

(a) 4:9:45

(b) 16:36:45

(c) 16:36:20

(d) 4:36:20

**Q15. In a class, there are z students. Out of them, x are boys. What part of the class is composed of girls? **

(a) x/z

(b) z/x

(c) 1-x/z

(d) x/z-1

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