1) Ramesh can complete a work in 12 days, working 7 hours a day. Suresh can complete the same work in 8 days, working 9 hours a day. If Ramesh and Suresh work together working 7 hours a day, in how many days can they complete the work?  Published on 07 Apr 16
a. 7 * 3 / 23
b. 5 * 7 / 13
c. 6 * 5 / 13
d. 6 * 6 / 11
e. None of these
Answer
Explanation

ANSWER: 5 * 7 / 13
Explanation: Ramesh can finish the work in 12 * 7 = 84 hours Amount of work he can complete in 1 hour = 1/84 Suresh can finish the same work in 8 * 9 = 72 hours Amount of work he can complete in 1 hour = 1/72 hours Work done by both of them in 1 hour = = 1/84 + 1/72 = 13/504 Ramesh and Suresh together can complete the work in 504/13 hours. i.e. 504/13 * 1/7 = 72/13 days i.e. 5 * 7 / 13 days


2) An employer pays Rs. 30 for each day a worker works, and forfeits Rs. 5 for each day he is idle. At the end of 60 days, a worker gets Rs. 500. For how many days did the worker remain idle?  Published on 06 Apr 16
a. 35
b. 48
c. 52
d. 58
Answer
Explanation

ANSWER: 52
Explanation: Suppose the worker remained idle for m days. Then, he worked for (60  m) days. 30 (60  m) – 5m = 500 1800 – 25m = 500 25m = 1300 m = 52 So, the worker remained idle for 52 days.


3) A man can do a piece of work in 4 days, but with the help of his daughter, he can do it in 3 days. In what time can his daughter do it alone?  Published on 06 Apr 16
a. 6 ½ days
b. 7 days
c. 9 ½ days
d. 12 days
Answer
Explanation

ANSWER: 12 days
Explanation: Daughter’s 1 day’s work = (1/3 – 1/4) = 1/12 Daughter alone can do the work in 12/1 = 12 days


4) P and Q together can complete a piece of work in 4 days. If P alone can complete the same work in 20 days, in how many days can Q alone complete that work?  Published on 28 Mar 16
a. 8
b. 7
c. 4
d. 5
Answer
Explanation

ANSWER: 5
Explanation: (P + Q)'s 1 day's work = 1/4, P's 1 day's work = 1/20 Q's 1 day's work = (1/4 – 1/20) = (4/20) = (1/5) Hence, Q alone can complete the work in 5 days.


5) If 10 bulls can plough 20 identical fields in 3 days working 10 hours a day, then in how many days can 30 bulls plough 32 same identical fields working 8 hours a day?  Published on 06 Jul 15
a. 2
b. 4
c. 8
d. 10
Answer
Explanation

ANSWER: 2
Explanation: M1*D1*W2 = M2*D2*W1 10*3*10*32 = 30*d*8*20 d = 2 days


6) A can build a wall in the same time in which B and C together can do it. If A and B together could do it in 25 days and C alone in 35 days, in what time could B alone do it?  Published on 15 Jun 15
a. 175 days
b. 100 days
c. 90 days
d. None of these
Answer
Explanation

ANSWER: 175 days
Explanation: No explanation is available for this question!


7) A pack of people can complete a certain amount of work in 12 days. Two times the same number of persons will complete half of the work in?  Published on 15 Jun 15
a. 12 days
b. 3 days
c. 4 days
d. 6 days
Answer
Explanation

ANSWER: 3 days
Explanation: More no of people: Less days (Inverse Relationship)
More work: More days (Direct Relationship)
Ratio is given:
Persons: 1 :: 2 Work 1 :: 1/2 Time 12 :: x
Solution of this can be explained by solving this ratio by the sort of relationships they possess with time.
1*1/2*12 = 2*1*x
=> x = 3 days


8) 12 men and 18 boys working 7.5 minutes an hour complete a particular piece of work in 60 hours. If a boy’s work is half as efficient as a man’s work, how many boys will be needed to help 21 men to achieve twice the work in 50 hours working 9 minutes in an hour.  Published on 15 Jun 15
a. 42
b. 46
c. 48
d. 38
Answer
Explanation

ANSWER: 42
Explanation: 1 man is equivalent to 2 boys in work capacity. 12 men + 18 boys = 12 x 2 + 18 = 42 boys.
Let the required number of boys be x. So Total number of people doing work = 21 men x 2 (according to work capacity) + x boys.
Taking respective ratios as required:
Given:
=> Hours 50:60 => Minutes per hour 9: 15/2 => Work 1:2 => People: 42: 42 + x => 50 x 9 x 1 x (42+x) = 60 x 15/2 x 2 x 42 => 42 +x = 84
x = 42


9) A car consumes 210 liters of petrol weekly. For how many days will 1470 liters of petrol be sufficient?  Published on 12 Jun 15
a. 48
b. 49
c. 50
d. 52
Answer
Explanation

ANSWER: 49
Explanation: No explanation is available for this question!


10) 5/8th of a job is completed in 10 days. If a person works at the same pace, how many days will he take to complete the job?  Published on 19 Oct 15
a. 4
b. 5
c. 6
d. 7
Answer
Explanation

ANSWER: 6
Explanation: Solution: It is given that 5/8th of the work is completed in 10 days.
=> Remaining work = 3/8th of total
Applying unitary method:
Total work will be completed in 10 * 8 / 5 days
=> It takes 16 days to complete total work
=> Hence, remaining work days = 16  10 = 6 days

