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Worksheets

CRT_Preparations

Total questions: 42

Worksheet time: 1hrs 24mins

Name
Class
Date
1.

A can do a piece of work in 30 days and B can do the same in 20 days. How many days it will take if they do the work together?

(a)  

2.

To finish a work, a sets aside half additional time than B. In the event that together they take 18 days to finish the work, what amount of time might B take to isn't that right?

(a)  

3.

A can do a bit of work in 20 days which B can do in 12 days. B worked at it for 9 days. A can complete the remaining work in:

(a)  

4.

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

(a)  

5.

X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

(a)  

6.

A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :

(a)  

7.

A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?

(a)  

8.

P is thrice as good a workman as Q and together they finish a piece of work in 24 days. The number of days taken by P alone to finish the work is:

(a)  

9.

6 women can complete a piece of work in 10 days, whereas 10 children alone take 15 days to complete the same piece of work. How many days will 6 women and 10 children together take to complete the piece of work?

(a)  

10.

A does half as much work as B in three –fourth of the time if together they take 18 days to complete a work. How much time shall B take to do it?

(a)  

11.

A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in :

(a)  

12.

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is

a)

1/4

b)

1/10

c)

7/15

d)

8/15

13.

A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:

a)

46/5

b)

47/5

c)

48/5

d)

10

14.

A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in

a)

20 days

b)

45/2 days

c)

25 days

d)

30 days

15.

A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

a)

Rs.375

b)

Rs.400

c)

Rs.600

d)

Rs.800

16.

IF AN AIRCRAFT TRAVEL AT 600MPH THEN WHAT IS THE DISTANCE TRAVELLED IN 15SECONDS?

a)

0.5MILES

b)

2.5MILES

c)

25MILES

d)

250MILES

17.

WHAT IS THE AVERAGE SPEED WHEN TRAIN X TRAVELS AT 50MPH FROM CITY A TO CITY B, AND AT 60MPH FROM CITY B TO CITY C? THE DISTANCE BETWEEN CITY A TO B IS THE SAME AS THE DISTANCE BETWEEN CITY B TO CITY C?

a)

25MPH

b)

27.3MPH

c)

29.5MPH

d)

55MPH

18.

At 3PM a train leaves a station at 90mph, and at 4pm another train leaves in the same direction from the same station at 120mph. At what time will the second train overtake the first train?

a)

6pm

b)

7pm

c)

8pm

d)

9pm

19.

Two trains travel in opposite direction from the same station at 3pm. North bound train travels at the rate of 40mph and the South bound train travels at the rate of 80mph. At what time will the two trains be 600miles apart?

a)

5pm

b)

6pm

c)

7pm

d)

8pm

20.

If machine X takes 3 hours to make 20 toys, and machine Y takes 5 hours to make 40 toys. Then how long will both machines working together take to complete 880 toys?

a)

40hours

b)

50hours

c)

60hours

d)

80hours

21.

If 5 monkeys can eat 5 bananas in 10 minutes, How many bananas can 20 monkeys eat in 20 minutes?

a)

5 bananas

b)

10 bananas

c)

20 bananas

d)

40 bananas

22.

20 machines take 4 days to complete a job, how many days would 10 machines take to complete the same job?

a)

2 days

b)

4 days

c)

8 days

d)

10 days

23.

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

a)

12

b)

60

c)

15

d)

30

24.

A Mathmatics test contains five different questions labeled A, B, C, D, and E. You are supposed to choose 2 to answer. How many different ways are there to do this?

a)

5

b)

10

c)

15

25.

A voicemail system password is 1 letter followed by a 3-digit number less than 600. How many different voicemail passwords are possible if all digits are allowed?

a)

214 921 200

b)

359 400

c)

15 600

26.

A family of 3 plans to sit in the same row at a movie theater. How many ways can the family be seated in 3 seats?

a)

3

b)

6

c)

1

27.

Veronica is stringing 3 different types of beads on a bracelet. How many ways can she string the next three beads if they must include one bead of each type?

a)

1

b)

3

c)

6

28.

Benedic wants to order a sandwich with two of the following ingredients: mushroom, eggplant, tomato, and avocado. How many different sandwiches can Benedic choose?

a)

8

b)

6

c)

4

29.

A group of 8 swimmers are swimming in a race. Prizes are given for first, second, and third place. How many different outcomes can there be?

a)

336

b)

56

c)

24

30.

Four students need to be selected from a class

of 15 to help clean up the campus. How many different ways can the 4 students be chosen?

a)

32 760

b)

60

c)

1 365

31.

Four students need to be selected from a class of 15 to help clean up the campus. How many different ways can the 4 students be chosen, if the only two girls refuse to help?

a)

715

b)

1 365

c)

120

32.

Calculate the number of three-digit numbers that can be formed using the digits 1, 3, 5, 7 and 9 without repetition.

a)

60

b)

120

c)

240

d)

945

33.

Team A which consists of 6 players wishes to have badminton matches with team B which consists of 7 players. Calculate the number of different single matches that can be held.

a)

6

b)

7

c)

13

d)

42

34.

How many arrangements of the following words can be made if all the vowels must be kept together for the word:

Equation

a)

2870

b)

8270

c)

2881

d)

None of the above

35.

Julie's home is two blocks north and three blocks west of her school. How many routes can Julie take from home to school if she always travels either south or east?

a)

5

b)

8

c)

10

d)

12

36.

Determine the number of permutations of all the letters in following word: STATISTICIAN

a)

3326400

b)

2362300

c)

3362400

d)

None of the above

37.

How many ways can the letters of word CANADA be arranged, if the first letter must be N and the last letter must be C?

a)

4

b)

6

c)

8

d)

10

e)

12

38.

How many arrangements of the following words can be made if all the vowels must be kept together?

WORD: Daughter

a)

720

b)

4320

c)

240

d)

2880

e)

None of the above

39.

When you press the “shuffle” button on an iPod, it plays a list of the songs (each will be played once). If the iPod has 6 songs on it, how many playlists of the songs are possible?

(a)  

40.

If 10Pr = 90 , find the value of r.

(a)  

41.

If nP2 = 42, find the value of n.

(a)  

42.

Determine the number of permutations that can be made using all of the letters in the word:

REGINA

a)

700

b)

720

c)

740

d)

710