**1) To do a certain piece of work B would take three times as long as A and C together and C twice as long as A and B together. The three men by their united exertions can complete the work in 10 days. How long would each take by himself?**

a)20, 30, 30

b)24, 40, 30

c)24, 30, 25

d)30, 40, 20

**2)Mohan and Sohan working separately can dig a trench in 10 days and 12 days respectively. If they are working for 1 day alternately, Mohan beginning, in how many days will the trench be dug?**

a)10 days

b)10 2/6 days

c)10 5/6 days

d)none of these.

**3) A certain number of men can do a work in 60 days. If there were 8 men more it could be finished in 10 days less. How many men are there?**

a)42

b)40

c)30

d)45

**4) 8 men and 12 boys can finish a piece of work in 10 days while 6 men and 8 boys can finish it in 14 days. Find the time taken by one man alone and that by one boy alone to finish the work?**

a)280days , 140days

b)250days, 280days

c)300days, 200days

d)200days, 140days

**5)If 9 men or 12 women or 18 boys can do a piece of work in 20 days working 9 hours a day, then working 10 hours a day in how many days will 3 men, 2 women and 3 boys together do twice**

** the work?**

a)10boys

b)15boys

c)12boys

d)14boys

**6)Number of students in Arts and Science faculties in an institute are in the ratio of 5 : 8 respectively. If 150 more students join**

** Art faculty while 80 more students join Science faculty, the respective ratio becomes 3 : 4. Originally what was the total**

** number of students in both faculties together ?**

a) 1200

b) 1400

c) 1150

d) 1170

**7)If 6 engines consume 15 metric tones of coal when each is running 9 hours a day, how much coal will be required for 8 engines,**

** each running 12 hours a day, if being given that 3 engines of former type consume as much as 4 engines of latter type?**

a) 20

b) 18

c) 27

d) 36

**8)A tank is filled in 5 hours by three pipes A,B and C. The pipe C is twice as fast as Band B is twice as fast as A. How much time**

** will pipe A alone take to fill the tank?**

a) 35hr

b) 30hr

c) 28hr

d) 26hr

**9)Prithvi spent RS89,745 on his college fees. RS51,291 on Personality Development Classes and the remaining 27% of the total**

** amount he had as cash with him. What was the total amount?**

a) rs1,85,400

b) rs1,89,600

c) rs1,91,800

d) rs1,93,200

**10) In a class of 65 students and 4 teachers, each student got sweets that are 20% of the total number of students and each teacher**

** got sweets that are 40% of the total number of students. How many sweets were there?**

a) 845

b) 897

c) 949

d) 104