**Q1. The students in three classes are in the ratio 2 : 3 : 5. If 20 students are increased in each class, the ratio changes to 4 : 5 : 7. Originally the total number of students was:**

(a) 50

(b) 90

(c) 100

(d) 150

**Q2. There is 81 litres pure milk in a container. One-third of milk is replaced by water in the container. Again one-third of mixture is extracted and equal amount of water id added. What is the ratio of milk to water in the new mixture?**

(a) 1 : 2

(b) 1 : 1

(c) 2 : 1

(d) 4 : 5

**Q3. In 80 litres mixture of milk and water the ratio of amount of milk to that of amount of water is 7 : 3. In order to make this ratio 2 : 1, how many litres of water should be added?**

(a) 5

(b) 6

(c) 8

(d) 4

**Q4. A is 30% more efficient than B and can alone do a piece of work in 23 days. In how many days A and B working together, can finish the job is**

(a) 11 days

(b) 13 days

(c) 20 days

(d) 21 days

**Q5. A can do a certain job in 12 days. B is 60% more efficient than A. To do the same job B alone would take:**

(a) 71/2 days

(b) 8 days

(c) 10 days

(d) 7 days

**Q6. ‘x’ number of men can finish a piece of work in 30 days. If there were 6 men more, the work could be finished in 10 days less. The original number of men is**

(a) 6

(b) 10

(c) 12

(d) 15

**Q7. If the work done by (x – 1) men in (x + 1) days and the work done by (x + 2) men in (x – 1) days are in the ratio 9 : 10, then the value of x is equal to:**

(a) 5

(b) 6

(c) 7

(d) 8

**Q8. A train 100 metres long meets a man going in opposite direction at 5 km/hr and passes him in 71/5 seconds. What is the speed of the train (in km/hr)?**

(a) 45 km/hr

(b) 60 km/hr

(c) 55 km/hr

(d) 50 km/hr

**Q9. Two trains start from a certain place on two parallel tracks in the same direction. The speed of the trains are 45 km/hr and 40 km/hr respectively. The distance between the two trains after 45 minutes will be**

(a) 2 km 500 m

(b) 2 km 750 m

(c) 3 km 750 m

(d) 3 km 250 m

**Q10. P and Q are 27 km away. Two trains with speed of 24 km/hr and 18 km/hr respectively start simultaneously from P and Q and travel in the same direction. They meet at a point R beyond Q. Distance QR is**

(a) 126 km

(b) 81 km

(c) 48 km

(d) 36 km

**Q11. Sarita and Julie start walking from the same place in the opposite directions. If Julie walks at a speed of 21/2 km/hr and Sarita at a speed of 2 km/hr, in how much time will they be 18 km apart?**

**(**a) 4.0 hrs

(b) 4.5 hrs

(c) 5.0 hrs

(d) 4.8 hrs

**Q12. A number x is divisible by 7 when this number is divided by 8, 12 and 16, if leaves a remainder 3 in each ease. The least value of x is:**

(a) 149

(b) 150

(c) 147

(d) 148

**Q14. In an exam the sum of the scores of A and B is 120, that of B and C is 130 and that of C and A is 140. Then the score of C is:**

(a) 70

(b) 75

(c) 60

(d) 65

**Q15. The number which can be written in the form of n (n + 1) (n + 2), where n is a natural number, is**

(a) 7

(b) 5

(c) 3

(d) 6