**1.A man travelled a certain distance by train at the rate of 25 kmph. and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, the distance was**

**2.The HCF of two numbers is 23 and the other two factors of their LCM are 13 and 14. The larger of two numbers is :**

**3.Out of 450 students of a school 325 play football, 175 play cricket and 50 neither play football nor cricket. How many students play both football and cricket?**

**4.A cistern 6 m long and 4 m wide. Contains water up to a depth of 1 m 25 cm. The total area of the wet surface is**

**5.Two trains of equal length take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?**

**6.A starts from a place P to go to a place Q. At the same time B starts from Q to P. If after meeting each other A and B took 4 and 9 hours more respectively to reach their destinations, the ratio of their speeds is**

**7.A man can row at 5 kmph. In still water. If the velocity of current is 1 kmph. and it takes him 1 hour to row to a place and come back, how far is the place?**

**8.A trader marked his goods at 20% above the cost price. He sold half the stock at the marked price, one quarter at a discount of 20% on the marked price and the rest at a discount of 40% on the marked price. His total gain is**

**9. The HCF of two numbers is 15 and their LCM is 300. If one of the number is 60,the other is :**

**10.In a family of 8 adults and some minors, the average consumption of rice per head per month is 10.8 kg; while the average consumption for adults is 15 kg per head and for and for minors it is 6 kg per head. The number of minors in the family is :**

**Answer and Solution:**

1.(3)

Let the distance be x km.

Total time = 5 hours 48 minutes = 29/5 hours

so x/25 + x/4 = 29/5

=> x = 20 km

2.(4) Let the numbers be 23x and 23y where x and y are co-prime

So LCM = 23xy

As given,

23xy = 23*13*14

so x = 13, y = 14

so The largest number = 23y= 23*14 = 322

3.(2)

4.(4)Required total area = Area of four walls + area of base

= 2*1.25(6+4)+6*4

= 49m^2

5.(3)

When a train crosses a telegraph post,If covers its own length.

so Speed of first train = 120/10 = 12 m/s

Speed of second train = 120/15 = 8 m/s

Relative speed 12+8 = 20 m/s

Required time = 2*120/20 = 12 seconds

6.(1)

7.(3)Let the distance be x km.

Speed upstream = 5-1 = 4 kmph

Speed downstrean = 5+1 = 6 kmph

so x/6 + x/4 = 1

x = 2.4 km

8.(1)

9.(2)

10.(3)

Let number of minors be x.

According to the question,

(8*15+x*6)/(8+x) = 10.8

=> x = 7