Math Mcqs Test Preparation for ECAT & MCAT - Set 4

1)   A works thrice as fast as B. If B can complete a work in 18 days. Then number of days taken by A and B working together to complete this work is

a. 8 days
b. 9 days
c. 5 days
d. 4.5 days
Answer  Explanation 

ANSWER: 4.5 days

Explanation:
No explanation is available for this question!


2)   A can finish a work in 24 days B can finish the same work in 36 days. If they work together and finish it then out of total wages of Rs. 500 A will get

a. Rs. 220
b. Rs. 200
c. Rs. 300
d. Rs. 360
Answer  Explanation 

ANSWER: Rs. 300

Explanation:
No explanation is available for this question!


3)   16 men can finish two fifth of the work in 4 days. The number of additional men required to finish the remaining work in 2 more days will be

a. 24 men
b. 0 men
c. 30 men
d. 39 men
Answer  Explanation 

ANSWER: 0 men

Explanation:
No explanation is available for this question!


4)   Pipe A can fill a tank in 10 hours and pipe B can empty it in 15 hours. In how many hours will the tank be filled if both the pipes are opened?

a. 6
b. 10
c. 20
d. 30
Answer  Explanation 

ANSWER: 30

Explanation:
No explanation is available for this question!


5)   A tank which has a leak in the bottom is filled in 20 hours. Had there been no leak the tank would have been filled in 15 hours. The leak can empty the full tank in

a. 80 hrs
b. 5 hrs
c. 60 hrs
d. 2 hrs
Answer  Explanation 

ANSWER: 60 hrs

Explanation:
No explanation is available for this question!


6)   A tank that can be filled by an inlet pipe A in 12 hours is filled in 18 hours while out let pipe B is opened. The outlet pipe B can empty the full tank in

a. 25 hrs
b. 36 hrs
c. 76 hrs
d. 50 hrs
Answer  Explanation 

ANSWER: 36 hrs

Explanation:
No explanation is available for this question!


7)   Two pipes can fill an empty tank in 10 and 15 hrs respectively. If waste pipe C is opened both A and B together can fill the tank in 5 hours. The waste pipe can empty the full tank in

a. 30 hrs
b. 50 hrs
c. 60 hrs
d. 40 hrs
Answer  Explanation 

ANSWER: 30 hrs

Explanation:
No explanation is available for this question!


8)   Working 8 hours a day a work is done in 10 days. For how many hours a day must the work be done in order to complete it in 8 days.

a. 12 hours
b. 10 hours
c. 9 hours
d. 9
Answer  Explanation 

ANSWER: 10 hours

Explanation:
No explanation is available for this question!


9)   A and B together can fill a ditch in 30 days while A alone can fill it in 50 days. If B does the work for only half a day daily how long will it take to fill the ditch by A and B?

a. 25 days
b. 67/2 days
c. 75/2 days
d. 32 days
Answer  Explanation 

ANSWER: 75/2 days

Explanation:
No explanation is available for this question!


10)   A can type 60 pages in 15 hours. A and B can type 150 pages in 25 hours. How long will it take B alone to type 120 pages?

a. 40 hours
b. 45 hours
c. 55 hours
d. 60 hours
Answer  Explanation 

ANSWER: 60 hours

Explanation:
No explanation is available for this question!


11)   12 women or 16 girls can do a certain job in 20 days. 14 women and 8 girls can do the same job in how many days?

a. 15
b. 7
c. 12
d. 9
Answer  Explanation 

ANSWER: 12

Explanation:
No explanation is available for this question!


12)   A can do a piece of work in 16 days while B can do it in 12 days. With the help of C they can finish it in 6 days. In how many days can C alone do the work?

a. 48 days
b. 10 days
c. 20 days
d. 30 days
Answer  Explanation 

ANSWER: 48 days

Explanation:
No explanation is available for this question!


13)   A can do a work in 40 days and B can do it is 25 days. A worked at it for 8 days. In how many days B can finish the remaining work.

a. 8 days
b. 20 days
c. 16 days
d. 12 days
Answer  Explanation 

ANSWER: 20 days

Explanation:
No explanation is available for this question!


14)   A can finish a work in 20 days B can do the same work in 10 days. After A has worked for 5 days B joins A in how many days the remaining work will be finished.

a. 15 days
b. 8 days
c. 5 days
d. 7 days
Answer  Explanation 

ANSWER: 5 days

Explanation:
No explanation is available for this question!


15)   A can finish a work in 7 days B in 14 days and C in 28 days. B and C start working and are forced to leave the work after 2 days. The number of days taken by A to finish the remaining work is

a. 8.5 days
b. 10 days
c. 5.5 days
d. 15.5 days
Answer  Explanation 

ANSWER: 5.5 days

Explanation:
No explanation is available for this question!


16)   A can do a piece of work in 28 days. If B is 40% more efficient than A B can do the same piece of work in

a. 20 days
b. 25 days
c. 27.5 days
d. 30 days
Answer  Explanation 

ANSWER: 20 days

Explanation:
No explanation is available for this question!


17)   A is twice as good a workman as B and takes 6 less days to complete a piece of work as B does. To finish the work alone B will take

a. 12
b. 10
c. 13
d. 6
Answer  Explanation 

ANSWER: 12

Explanation:
No explanation is available for this question!


18)   A can complete a piece of work in 16 days and B can complete it in 20 days. They start working together. Two days before the completion of the work A leaves. Work is completed in

a. 10 days
b. 8 days
c. 6.4 days
d. 11 days
Answer  Explanation 

ANSWER: 10 days

Explanation:
No explanation is available for this question!


19)   A can do a piece of work in 10 days and B in 15 days. If they work for a day alternately A beginning the work will be completed in

a. 6 days
b. 12 days
c. 8 days
d. 15 days
Answer  Explanation 

ANSWER: 12 days

Explanation:
No explanation is available for this question!


20)   A and B can complete a task in 44 days when working together. After having worked together for 33 days B is called away. A completes the remaining task in the next 25 days. A can complete the job working alone in

a. 140 days
b. 90 days
c. 100 days
d. 84 days
Answer  Explanation 

ANSWER: 100 days

Explanation:
No explanation is available for this question!


21)   Three pipes A B and C can fill a tank in 20 hours. After working at it together for 5 hours C is closed and A and B fill it in 30 hrs. C alone can fill it in

a. 35 hrs
b. 40 hrs
c. 30 hrs
d. 28 hrs
Answer  Explanation 

ANSWER: 40 hrs

Explanation:
No explanation is available for this question!


22)   A tank has a leak which would empty it in 10 hrs. A tap is turned on and it admits 9 liters per minute into the tank and tank is now emptied in 25 hrs. How many liters tank holds?

a. 9000
b. 13400
c. 14500
d. 10000
Answer  Explanation 

ANSWER: 9000

Explanation:
No explanation is available for this question!


23)   Two pipes A and B can fill a tank in 14 and 21 hrs respectively. If both pipes are opened together then after how many hours A should be closed so that tank is full in 7 hours.

a. 28/5 hrs
b. 6.5 hrs
c. 5 hrs
d. 4 hrs
Answer  Explanation 

ANSWER: 28/5 hrs

Explanation:
No explanation is available for this question!


24)   20 men can do a certain work in 60 days but after every five days five additional men join them. In how many days will work be done now?

a. 30.5 days
b. 31 days
c. 33.5 days
d. 34.5 days
Answer  Explanation 

ANSWER: 34.5 days

Explanation:
No explanation is available for this question!


25)   20 men or 30 boys can do a certain job in 20 days. How long will it take 6 men and 15 boys to do the same job?

a. 25 days
b. 10 days
c. 8 days
d. 6 days
Answer  Explanation 

ANSWER: 25 days

Explanation:
No explanation is available for this question!


26)   M and N working separately can complete a job in 6 and 12 hours respectively. If they work for an hour alternately M starting at 10:00 AM when will the job be done?

a. 2:00 PM
b. 8:00 PM
c. 7:00 PM
d. 6:00 PM
Answer  Explanation 

ANSWER: 6:00 PM

Explanation:
No explanation is available for this question!


27)   30 men can do a certain work in 15 days. They started working on the project but 5 of them leave after every five days. In how many days will the work be completed now?

a. 20 days
b. 22 days
c. 25 days
d. 18 days
Answer  Explanation 

ANSWER: 20 days

Explanation:
No explanation is available for this question!


28)   Jawads weekly salary is $70 less then Pashas which is $50 more than Marias. If Maria earns $280 per week how much does Jawad earn per week?

a. $160
b. $260
c. $280
d. $300
e. $400
Answer  Explanation 

ANSWER: $260

Explanation:
No explanation is available for this question!


29)   During a certain week a post office sold $280 worth of 14 cents stamps. How many of these stamps did they sell?

a. 20
b. 200
c. 2000
d. 20000
e. none
Answer  Explanation 

ANSWER: 2000

Explanation:
No explanation is available for this question!


30)   The average of 5 numbers is 13. If the average of 4 of these numbers is 10 what is the fifth number?

a. 10
b. 25
c. 35
d. 40
e. 105
Answer  Explanation 

ANSWER: 25

Explanation:
No explanation is available for this question!