**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

(e) None of the above

**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

(e)None of the above

**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

(e) None of the above

**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

(e) None of the above

**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

(e) None of the above

**Q6. In a bag, there are 3 red balls, 5 green balls and 7 blue balls. One ball is picked up randomly. What is the probability that it is neither red nor blue?**

(a) 11/16

(b) 5/16

(c) 4/11

(d) 3/7

(e) None of the above

**Q7. A bag has 12 balls of which 4 are green balls. Three balls are drawn at random from the bag, one after the other. The probability that all three are not-green balls is**

(a) 4⁄27

(b) 14⁄55

(c) 2⁄3

(d) (1⁄3)3

(e) None of the above

**Q8. In a class of 40 students with roll no. 3 to 42. A student is picked up to tell a joke. Find the probability that the roll number of the selected student is either a multiple of 4 or 7?**

(a) 11⁄42

(b) 2⁄5

(c) 3⁄7

(d) 3⁄8

(e) None of the above

**Q9. The probability that a student will get a laptop is 2/3 and that of getting a tab is 5/9. If the probability of getting at least one application is 4/5. What is the probability that he will get both is**

(a) 31/45

(b) 14/45

(c) 8/45

(d) 11/45

(e) None of the above

**Q10. A box contains 5 brown and 4 white socks. A man takes out two socks. The probability that they are of the same color is**

(a) 1⁄6

(b) 5⁄108

(c) 5⁄18

(d) 4⁄9

(e) None of the above

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