A officer undertakes to complete a job in 250 days. He employs 300 male for 50 days and they complete 1/2 of the work . He then reduces the number of male to 100, who work for 120 days, after which there are 20 days holidays. How many male must be employed for the remaining period to finish the work? a) 25 b) 50 c) 45 d) 35

A officer undertakes to complete a job in 250 days. He employs 300 male for 50 days and they complete 1/2 of the work . He then reduces the number of male to 100, who work for 120 days, after which there are 20 days holidays. How many male must be employed for the remaining period to finish the work? a) 25 b) 50 c) 45 d) 35
by

1 Answer

Answer :

B

300 male in 50 days do = 1/2work

1 male in 1 day does = ½*1/50*1/300 work

100 male in 120 days do = ½ *1/50*1/300 *100*120 =2/5 work

Total work done = ½ + 2/5 =(5+4)/10=9/10

Remaining work = 1-9/10=1/10

Remaining time = (250-50-120-20)=60days

½ work is done in 50 days by 300 male

1/10 work is done in 60 days by

=300*50*1*2/10*60

=50 male


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P and Q can do a piece of job in 24 days; Q and R can do it in 30 days while R and P can finish it in 40 days. If P, Q, Rworks together, in how many days will they finish the job? In how many days will each one of them finish it, working alone? A) 15,25,35,45 B) 20,30,40,120 C) 20,30,40,50 D) 20,25,30,60

Description : P and Q can do a piece of job in 24 days; Q and R can do it in 30 days while R and P can finish it in 40 days. If P, Q, Rworks together, in how many days will they finish the job? In how many days will each ... finish it, working alone? A) 15,25,35,45 B) 20,30,40,120 C) 20,30,40,50 D) 20,25,30,60 

Last Answer : B Time taken by (P + Q) to finish the job = 24days. (P + Q)'s 1 day's job = 1/24 Time taken by (Q +R) to finish the job = 30days. (Q + R)'s 1 day's job = 1/30 Time taken by (R + P) to finish the ... - {(P + Q)'s 1 day's job } = (1/20 -1/24)=1/120 Hence, R alone can finish the job in 120 days.

Pranesh can do a piece of job in 60 days. He works at it for 4 days and then sarvesh alone finishes the remaining work in28 days. In how much time will pranesh and sarvesh working together, finish the work? a) 35 days b) 30 days c) 25 days d) 20 days

Description : Pranesh can do a piece of job in 60 days. He works at it for 4 days and then sarvesh alone finishes the remaining work in28 days. In how much time will pranesh and sarvesh working together, finish the work? a) 35 days b) 30 days c) 25 days d) 20 days

Last Answer : D Work done by pranesh in 4 days = 1/60 *4 =1/15 Remaining work = 1-1/15 =(15 - 1)/15 =14/15 Now 14/15 work done by sarvesh in 28 days Whole work will be done by sarvesh in(28*15 /14) = 2* 15 =30 ... 's work = 1/60 + 1/30 = (1+2) /60 = 3/60 =1/20 Hence both will finish the work in 20 days

8 male can finish a work in 6 days.12 female can complete the same work in 9 days. 6 male and 4 female started working and after 4 days 3 more female joined them. How many days will they now take to complete the remaining work? a) 76/41 days b) 25/62days c) 3/31days d) 4/77days

Description : 8 male can finish a work in 6 days.12 female can complete the same work in 9 days. 6 male and 4 female started working and after 4 days 3 more female joined them. How many days will they now take to complete the remaining work? a) 76/41 days b) 25/62days c) 3/31days d) 4/77days

Last Answer : A 1 male's 1 day work = 1/48 1 female's 1 day work = 1/108 Work done in 4 days = 4 (6/48 +4/108) =4(1/8+1/27) =1/2+4/27 =(27+8)/54 =35/54 Remaining work = (1 - 35/54) = 19/ ... (27+14)/216 =41/216 Now 41/216 work is done by them in 1 day Therefore time taken = 216/41 * 19/54 = 76/41 days

M do a piece of work in 45 days and N can finish it in 40 days. They work together for 5 days and then M leaves. In how many days will N finish the remaining work? a) 30 5/9 b) 29 4/9 c) 31 3/5 d) 29 5/9

Description : M do a piece of work in 45 days and N can finish it in 40 days. They work together for 5 days and then M leaves. In how many days will N finish the remaining work? a) 30 5/9 b) 29 4/9 c) 31 3/5 d) 29 5/9

Last Answer : A Time taken by M to finish the work = 45 days. M's 1 day's work = 1/45 Time taken by N to finish the work = 40 days. N's 1 day's work = 1/40 (M + N)'s 1 day's work = (1/40+1/45) = ... be done by N in (55/72*40) days = 30and 5/9 days. Hence, the remaining work is done by B in 30 and 5/9 days.

Rishwi can finish a work in 6 days working 4 hours a day. Dhiviksha can complete the same work in 4 days working 5 hrs a day. If both rishwi and dhiviksha work together, working 4 hrs a day, in how many days can they finished the work? a) 30/11 b) 11/120 c) 11/30 d) 30/13

Description : Rishwi can finish a work in 6 days working 4 hours a day. Dhiviksha can complete the same work in 4 days working 5 hrs a day. If both rishwi and dhiviksha work together, working 4 hrs a day, in how many days can they finished the work? a) 30/11 b) 11/120 c) 11/30 d) 30/13

Last Answer : A Rishwi can complete the work in (6*4) = 24 hrs Dhiviksha can complete the work in (4*5) = 20 hrs Rishwi's 1 hr work = 1/24 Dhiviksh's 1 hr work = 1/20(Rishwi and dhivikasha)'s 1 hr work = (1/24 ... fininsh the work in (120/11)hrs Number of days of 4 hrs each = 120/11*1/4 =120/44 =30/11 days

After finishing the work by Aswin for 9 days, Ajay finds that only 1/4 of the work has been done. He employs Ajay who is 80% as efficient as Aswin. How many days more would Ajay take to complete the work? a) 32 b) 28 c) 34 d) 26

Description : After finishing the work by Aswin for 9 days, Ajay finds that only 1/4 of the work has been done. He employs Ajay who is 80% as efficient as Aswin. How many days more would Ajay take to complete the work? a) 32 b) 28 c) 34 d) 26

Last Answer : C Aswin has completed 1/4 of the work in 9 days Then he can complete the total work in 1/4 ---- 9 1 ---- ? = 36 days But given Ajay is only 80% as efficient as Aswin Ajay = 1/36*80/100=1/45 Ajay can ... work can be completed in 1 ------ 45 3/4 ------ ? =3/4*45 =33.75=34 days (approx.)

90 persons can complete a job in 32 days. 12 days after they started working, 60 more persons joined them. How many days will they now take to complete the remaining work? a) 10 days b) 12 days c) 14 days d) 16 days

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Last Answer : B (90 * 32) persons can complete the work in 1 day. 1 person 1 day's work = 1/(90 *32) i.e., 1/2880 90 person's 12 day's work = 1/32 * 12 = 3/8 Remaining work =(1- 3/8) = 5/8 150 persons 1 ... 5/96 work is done by them in 1 day . Therefore 5/8 work is done by them, = (96/5*5/8) =12 days.

P and Q undertake to do a piece of job for Rs.1200. P alone can do it in 12 days while Q alone can do it in 16 days. With the help of R , they finish it in 6 days. Find the share of P,Q & R. a) 400,600,200 b) 200,400,600 c) 450,400,250 d) 600,450,150

Description :  P and Q undertake to do a piece of job for Rs.1200. P alone can do it in 12 days while Q alone can do it in 16 days. With the help of R , they finish it in 6 days. Find the share of P,Q & R. a) 400,600,200 b) 200,400,600 c) 450,400,250 d) 600,450,150

Last Answer : D R;s 1 day work = 1/6 – (1/12 + 1/16) =1/6 – 1/12 – 1/16 = (8-4-3)/48 = 1/48 P:Q:R = ratio of 1 day work = 1/12:1/16 : 1/48 =4:3:1 P’s share = Rs(1200*4/8) =Rs.600 Q’s share = Rs(1200 * 3/8) =Rs.450 R’s share = Rs(1200 * 1/8) =Rs.150

P,Q, & R can complete a piece of job together in 20 days. All the 3 started working at it together and after 8 days P left. Then Q & R together completed a job in 20 more days. P alone could complete the work in. a) 60 b) 50 c) 40 d) 30

Description : P,Q, & R can complete a piece of job together in 20 days. All the 3 started working at it together and after 8 days P left. Then Q & R together completed a job in 20 more days. P alone could complete the work in. a) 60 b) 50 c) 40 d) 30

Last Answer : B Work done by P,Q & R in 8 days = 1/20 * 8 =2/5 Remaining work = (1 - 2/5) = 3/5 Now 3/5 work is done by Q & R in 20 days Whole work will be done by Q & R in(20*5/3) =100/3 days (P+Q+R ... (Q+R)'s 1 day work =1/20 - 3/100 =5-3/100 =2/100 =1/50 P alone could complete the work in 50 days..

X does half as much work as Yand Z does half as much work as X and Y together. If Z alone can finish the work in 120 days, then together ,all will finish the work in ? a) 14 1/2 b) 40 c) 24 1/2 d)17 1/3

Description : X does half as much work as Yand Z does half as much work as X and Y together. If Z alone can finish the work in 120 days, then together ,all will finish the work in ? a) 14 1/2 b) 40 c) 24 1/2 d)17 1/3

Last Answer : B Z alone can finish the work in 120 days. As given Z does half as much work as X and Y together => (X + Y) can do it in 60 days (X+ Y)s 1 days wok = 1/60. X's 1 days work : Y's 1 days Work = 1 ... (1/90) + (1/120) =(2+4+3)/360 =9/360 = 1/40 All the three together will finish it in 40 days

6 boys and 5girls can do a job in 8 days. When 7 boys and 10 girls work on the same job, the work gets completed in 5 days. How many days will a boy take to do the job, if he works alone on it? a) A.25 b) B.50 c) C.75 d) D.100

Description : 6 boys and 5girls can do a job in 8 days. When 7 boys and 10 girls work on the same job, the work gets completed in 5 days. How many days will a boy take to do the job, if he works alone on it? a) A.25 b) B.50 c) C.75 d) D.100

Last Answer : D Let the amount of work done by a boy in a day be B′ and the amount of work done by a girl in a day be G′. Therefore, 6 boys and 5 girls will do 6B+5G amount of work in a day. If 6 boys and 5 ... 1/100 i.e. a boy does 1/100th of the work in a day. Hence he will take 100 days to do the work.

48 boys complete a work in 36 days. After they have worked for 24 days, 24 more boys join them. How many days will they take to complete the remaining work? a) 8 days b) 6 days c) 4 days d) 3 days

Description : 48 boys complete a work in 36 days. After they have worked for 24 days, 24 more boys join them. How many days will they take to complete the remaining work? a) 8 days b) 6 days c) 4 days d) 3 days

Last Answer : A 1 boy’s 1 day’s work = 1/(36*48) =1/1728 48 boy’s 24 day’s work=48*24/1728=2/3 Remaining work = 1-2/3=1/3 72 boy’s 1 day’s work =72/1728=1/24 1/24 work is done by them in 1 day. So, 1/3 work is done by them in 24/3= 8 days

8 men and 8 boys can finish a piece of work in 10 days. 9 women and 7 boys can finish the same work in 10 days. Also 7 men and 6 women can finish the same work in 10 days. In how many days 1man, woman and one boy can finish the work, at their double efficiency? a) 25 days b) 20 days c) 15 days d) 10 days

Description : 8 men and 8 boys can finish a piece of work in 10 days. 9 women and 7 boys can finish the same work in 10 days. Also 7 men and 6 women can finish the same work in 10 days. In how many days 1man, ... boy can finish the work, at their double efficiency? a) 25 days b) 20 days c) 15 days d) 10 days

Last Answer : A Efficiency of 8 men and 8 boys = 10% Efficiency of 9 women and 7boys = 10% Efficiency of 7 men and 6 women = 10% So, Efficiency of 15 men, 15women and 15boys = 30% So, efficiency of 1 man ... efficiency Efficiency of 1 man, 1 woman and 1 boy = 4% Required number of days = 100/4=25 days

Karthik is 2 times as good workman as Raghu and together they complete a piece of work in 42 days. The number of days taken by Karthik alone to finish the work is. a) 55 days b) 60 days c) 63 days d) 67 days

Description : Karthik is 2 times as good workman as Raghu and together they complete a piece of work in 42 days. The number of days taken by Karthik alone to finish the work is. a) 55 days b) 60 days c) 63 days d) 67 days

Last Answer : C Karthik’s 1 day work : Raghu’s 1 day work = 2:1 (Karthik + Raghu)’s 1 day work = 1/42 Divide 1/42 in the ratio 2:1 Therefore karthick’s 1 day work = 1/42 * 2/3 =1/63 Hence karthik alone can finish the work in 63 days.

A task is done by 46 persons not all of them have the same capacity to task. Every day exactly 2 persons, do the task with no pair of persons working together twice. Even after all possible pairs have worked once, all the persons together works for two more days to finish the task. Find the number of days in which all the persons together will finish the whole task? a) 44 b) 45 c) 46 d) 47

Description : A task is done by 46 persons not all of them have the same capacity to task. Every day exactly 2 persons, do the task with no pair of persons working together twice. Even after all possible pairs have worked ... in which all the persons together will finish the whole task? a) 44 b) 45 c) 46 d) 47

Last Answer : D 46 persons task in pairs, with no same pair of persons working together. Each person will be working with other 45 which means each persons will work for 45 days in pair. Let the time taken by each ... +1/T46)= 1/47 If all the persons work together they will finish the whole task in 47 days.

60 girls can do a work in 48 days. 48 boys can finish the same work in 45 days. What is the ratio between the capacity of a boys and girls? a) 2:1 b) 3:6 c) 2:4 d) 4:3

Description : 60 girls can do a work in 48 days. 48 boys can finish the same work in 45 days. What is the ratio between the capacity of a boys and girls? a) 2:1 b) 3:6 c) 2:4 d) 4:3

Last Answer : D  Total number of girls =60 Total number of boys =48 (60*48) girls can complete the work in 1 day 2880 girls can complete the work in 1 day 1 girls 1 day work =1/2880 (48*45) boys can complete the work ... day 1 boys 1 day work =1/2160 So required ratio =1/2160 : 1/2880 =2880 : 2160 =4:3

P and Q finished a work in 36 days; Q and R can do it in 60 days; P and R can do it in 45 days. In what time can P alone do it. a) 30 days b) 60 days c) 90 days d) 120 days

Description : P and Q finished a work in 36 days; Q and R can do it in 60 days; P and R can do it in 45 days. In what time can P alone do it. a) 30 days b) 60 days c) 90 days d) 120 days

Last Answer : B (P+Q)'s 1 day work = 1/36 ---1 (Q+R)'s 1 day work = 1/60 ----2 (P+R)'s 1 day work = 1/45 ----3 Adding 1 & 2 & 3 we get 2(P+Q+R)'s 1 day work = 1/36 + 1/60+ 1/45 =(5+3+4)/180 = 12/ ... +R)'s 1 day work - (Q+R)'s 1 days work = 1/30 - 1/60 = 2-1/60 = 1/60 P alone can do the work in 60 days.

Pump A can fill the empty bunker in 6 hours, but due to a leak in the bottom it is filled in 7.5 hours, if the bunker is full and then Pump A is closed then in how many hours the leak can empty it? a) 30 hours. b) 45 hours. c) 50 hours. d) 35 hours.

Description : Pump A can fill the empty bunker in 6 hours, but due to a leak in the bottom it is filled in 7.5 hours, if the bunker is full and then Pump A is closed then in how many hours the leak can empty it? a) 30 hours. b) 45 hours. c) 50 hours. d) 35 hours.

Last Answer : A Efficiency of A = 16.666% Effective of leak = 13.333%when there is leakage So, efficiency of leakage =( Efficiency of A- Effective of leak) =16.666%-13.333%= 3.333% It means due to leakage a full bunker will be empty in 30 hours.

Adam and Smith are working on a project. Adam takes 18 hrs to type 108 pages on a computer, while Smith takes 15 hrs to type 120 pages. How much time will they take, working together on two different computers to type a project of 360 pages? a) 23 hrs 24 min b) 45 hrs 42 min c) 25 hrs 42 min d) 42 hrs 45 min

Description : Adam and Smith are working on a project. Adam takes 18 hrs to type 108 pages on a computer, while Smith takes 15 hrs to type 120 pages. How much time will they take, working together on two different computers to type a ... ? a) 23 hrs 24 min b) 45 hrs 42 min c) 25 hrs 42 min d) 42 hrs 45 min

Last Answer : C Number of pages typed by Adam=108 Number of pages typed by Adam in 1 hour = 108/18=6 Number of pages typed by Smith =120 Number of pages typed by Smith in 1 hour = 120/15 =8 Number of pages typed by both in ... (6 + 8) = 14 Time taken by both to type 360 pages, = (360 * 1/14) =25 hrs 42 min

6 male , 8 female and 12 children can complete a work in 14 days .a female does twice the work of a male does and a child does half the work a male does . how many female alone can complete this work in 14 days? a) 15 b) 10 c) 12 d) 14

Description :  6 male , 8 female and 12 children can complete a work in 14 days .a female does twice the work of a male does and a child does half the work a male does . how many female alone can complete this work in 14 days? a) 15 b) 10 c) 12 d) 14

Last Answer :  D Let 1 female ‘s 1 day work= x Then 1 male’s 1 day work =x/2 And 1 child’s 1 day work =x/4 So 6x/2 + 8x +12x/4 =1/14 3x+8x+3x = 1/14 14x = 1/14 X=196 1 female alone can complete the work in 196 days So, to complete the work in 14 days number of female required = 14.

Sai and Ram working together completed a job in 10 days. If sai worked twice as efficiently as he actually did and ram worked 2/3 as efficiently as he actually did, the work would have been completed in 6 days. Sai alone could complete the work in. a) 40/3 days b) 42/4 days c) 44/6 days d) 43/3 days

Description : Sai and Ram working together completed a job in 10 days. If sai worked twice as efficiently as he actually did and ram worked 2/3 as efficiently as he actually did, the work would have been completed in 6 days. Sai alone could complete the work in. a) 40/3 days b) 42/4 days c) 44/6 days d) 43/3 days

Last Answer : A Let sai's 1 day work = x Ram's 1 day work = y Then x+y = 1/10 ===>1 and 2x +2y /3 = 1/6 (6x+2y )/3 = 1/6 6x + 2y =1/2 ====>2 Multiply 1 by 6 =>6x+6y = 6/10 2 = ... /10 - 1/40 = 4-1/10 =3/40 Sai's 1 day work = 3/40 So sai alone could complete the work in 40/3 days.

A cistern can be filled in 25 minutes. There is a leakage which can empty it in 50 minutes. In how many minutes cistern can be filled? a) 20 mints b) 25mints c) 45 mints d) 50 mints

Description : A cistern can be filled in 25 minutes. There is a leakage which can empty it in 50 minutes. In how many minutes cistern can be filled? a) 20 mints b) 25mints c) 45 mints d) 50 mints

Last Answer : D Efficiency of filling faucet= 100/25 = 4% ⇒ Efficiency of leakage faucet = 100/50= 2% ⇒ Net filling efficiency = (4-2)% =2% So, t cistern can be filled in = 100/2 = 50 minutes

X and Y can do a job in 24 days, Y & Z can do the same job in 36 days. X,Y,Z together can finish it in 18 days. X and Z together will do it in. a) 24 b) 36 c) 12 d) 26

Description : X and Y can do a job in 24 days, Y & Z can do the same job in 36 days. X,Y,Z together can finish it in 18 days. X and Z together will do it in. a) 24 b) 36 c) 12 d) 26

Last Answer : A (X+Y+Z) s 1 day work =1/18 (X+Y)'s 1 day work = 1/24 (Y+Z)'s 1 day work = 1/36 (X+Z)'s 1 day work = 2[X+Y+Z]'s 1 day work - [(X+Y)'s 1 day work + (Y+Z)'s 1 day work]= 2 [1/18]- (1/24 + ... /24 + 1/36) = 1/9 -1/24 - 1/36 =(8-3-2)/72 =3/72 = 1/24 So X & Z together will do the work in 24 days

A bakery P can sold 500 breads in 4 hours, bakery Q can sold the same number of bread in 5 hrs while bakery R can sold them in 6 hrs. All the bakeries are opened at 8 a.m while bakery P is closed at 9 p.m and the remaining 2 bakeries complete their target. Approximately at what time will the work be finished? a) 10 b) 8 c) 12 d) 6

Description : A bakery P can sold 500 breads in 4 hours, bakery Q can sold the same number of bread in 5 hrs while bakery R can sold them in 6 hrs. All the bakeries are opened at 8 a.m while bakery P is closed ... complete their target. Approximately at what time will the work be finished? a) 10 b) 8 c) 12 d) 6

Last Answer : A (P+Q+R)'s 1 hour work = (1/4 +1/5+ 1/6) =(15+12+10)/60 =37/60 Remaining work = 1- 37/60 = 23/60 (Q+R)'s 1 hour work = (1/5 +1/6) =11/30 Now 11/30 work is done by Q and R ... R in(30/11*23/60) =23/22 hrs = 1hr So the work will be finished approximately 1 hr after 9.am i.e., around 10 a.m

Arfath is thrice as good workman as deekshith and together they finish a piece of work in 27 days. In how many days will arfath alone finish the work? a) 9 days b) 10 days c) 11 days d)12 days

Description :  Arfath is thrice as good workman as deekshith and together they finish a piece of work in 27 days. In how many days will arfath alone finish the work? a) 9 days b) 10 days c) 11 days d)12 days

Last Answer : A Arfath’s 1 days work = 3 Deekshith 1 day’s work = 1 Arfath 1 day’s work : Deekshith 1 days work = 3:1 (Arfath + deekshith )’s 1 day’s work = 1/27 Divide 1/27 in the ratio 3:1 Arfath’s 1 days work = 1/27 *3/1 = 3/27 =1/9 Hence Arfath’s alone can finish the work in 9 days

4 male and 6 female do a piece of work in 20 days while 6 male and 4 female can do the same work in16 days. In how many days can 4 male and 2 female do the work? a) 3 62/142 b) 2 18/124 c) 4 81/165 d) 1 67/133

Description : 4 male and 6 female do a piece of work in 20 days while 6 male and 4 female can do the same work in16 days. In how many days can 4 male and 2 female do the work? a) 3 62/142 b) 2 18/124 c) 4 81/165 d) 1 67/133

Last Answer : D Let 1 male's 1 day's work = x 1 female's 1 day's work = y Then 4x + 6y = 1/20 ---------->A 80x + 120y = 1 -----------1 6x + 4y = 1/16 ----------B 96x + 64y = ... (1/400) =132/200+1/200 = 133/200 So 4 male and 2 female together can finish the work in 200/133 = 1 67 /133 days

Hanisha can do a work in 25 days, while sudha can do the same work in 50 days. They started the work jointly.Few days sughana also joined them and thus all of them completed the whole work in 12 days. All of them were paid total Rs.900. What is the Share of sughana? a) 252 b) 346 c) 454 d).359

Description : Hanisha can do a work in 25 days, while sudha can do the same work in 50 days. They started the work jointly.Few days sughana also joined them and thus all of them completed the whole work in 12 days. All of them were paid total Rs.900. What is the Share of sughana? a) 252 b) 346 c) 454 d).359

Last Answer : A Efficiency of Hanisha = 1/100*25 =25/100=1/4=>4% Efficiency of sudha = 2% Thus, in 12 days working together they will complete only 72% of the work. [(4+2)*12] =72 Hence, the remaining work will ... which is =(100-72)=28% Thus, sughana will get 28% of Rs. 900, =28/100*900 which is Rs.252

P and Q together can complete a job in 30 days. Q and R together can complete the same job in 40 days. P and R together can complete the same job in 40 days. What is the respective ratio of the number of days taken by P when completing the same job alone to the number of days taken by R when completing the same job alone? a) A.2:5 b) B.1:2 c) C.3:4 d) D.2:3

Description : P and Q together can complete a job in 30 days. Q and R together can complete the same job in 40 days. P and R together can complete the same job in 40 days. What is the respective ratio of the number of days taken by P ... R when completing the same job alone? a) A.2:5 b) B.1:2 c) C.3:4 d) D.2:3

Last Answer : B Efficiency of P and Q= 1/30 per day ___________1 ⇒ Efficiency of Q and R = 1/40 per day_________2 ⇒ Efficiency of R and P = 1/40 per day _________3 Taking equation 2 and 3 together ⇒ Q + R = ... 120 days he they work alone. ⇒ Ratio of number of days in which P and R can complete the job 1:2.

A and B together can complete a work in 24 days. A alone can complete it in 40 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work? a) 24 days b) 15 days c) 21 days d) 19 days

Description : A and B together can complete a work in 24 days. A alone can complete it in 40 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work? a) 24 days b) 15 days c) 21 days d) 19 days

Last Answer : A B’s 1 day’s work = (1/24 -1/40) =(5-3)/120 =2/120=>1/60 Now, (A + B)’s 1 day’s work = (1/40 +1/60) =(3+2)/120 =5/120 So, A and B together will complete the work in 120/5 = 24 days.

In finish machining of an island on a casting with CNC milling machine, an end mill with 10 mm diameter is employed. The corner points of the island are represented by (0, 0), (0, 30), (50, 30) and (50, 0). By applying cutter radius right compensation, the trajectory of the cutter will be a.(-5, 0), (-5, 35), (55, 35), (55,-5), (-5,-5) b.(0,-5), (55,-5), (55, 35), (-5, 35), (-5,-5) c.(5, 5), (5, 25), (45, 25), (45, 5), (5, 5) d.(5, 5), (45, 5), (45, 25), (5, 25), (5, 5)

Description : In finish machining of an island on a casting with CNC milling machine, an end mill with 10 mm diameter is employed. The corner points of the island are represented by (0, 0), (0, 30), (50, 30) and (50, 0). By applying cutter radius right ... , 5), (5, 5) d.(5, 5), (45, 5), (45, 25), (5, 25), (5, 5)

Last Answer : a.(-5, 0), (-5, 35), (55, 35), (55,-5), (-5,-5)

Rakchita can do a piece of work in 28 days, while Shreya can do the same work in 42 days.They started the work together but 6 days before the completion of the work, Rakchita left the work. The total number of days to complete the work is a) 3 b) 4 c) 5 d) 6

Description : Rakchita can do a piece of work in 28 days, while Shreya can do the same work in 42 days.They started the work together but 6 days before the completion of the work, Rakchita left the work. The total number of days to complete the work is a) 3 b) 4 c) 5 d) 6 

Last Answer : D 6 days before the completion of the work Rakchita left the work means in last 6 days only Shreya has worked alone So, in last 6 days worked done by Shreya = 6*1/42=6/42=1/7 So, the rest = 1-1/7 =6/7 So 6/7work was done by Rakchita and Shreya worked together=6/7*70/10 =420/70=6 days

M & N do a certain work in 40 days and 24 days respectively. M started the work alone and then after 8 days N joined him till the completion of the work. How long did the work last? a) 16days b) 18days c) 20 days d) 22 days

Description : M & N do a certain work in 40 days and 24 days respectively. M started the work alone and then after 8 days N joined him till the completion of the work. How long did the work last? a) 16days b) 18days c) 20 days d) 22 days

Last Answer : C Work done by M in 8 days = 1/40*8 =1/5 Remaining work = 1-1/5 = 4/5 (M+N)’s 1 day work = 1/40 + 1/24 =(3+5)/120 =8/120 =1/15 Now 1/15 work is done by M & N in 1 day. So 4/5 work will be done by X and Y is, =15 / 1 * 4/5 =12 days Hence total time taken = 12+8 = 20 days

Arul can do a certain work in 9 days while Ravi can do the same work in 7 days. Both of them complete the work together and get Rs.288. what is the share of Arul? a) Rs.124 b) RS.126 c) Rs.128 d) Rs.130

Description : Arul can do a certain work in 9 days while Ravi can do the same work in 7 days. Both of them complete the work together and get Rs.288. what is the share of Arul? a) Rs.124 b) RS.126 c) Rs.128 d) Rs.130

Last Answer : B Arul’s 1 day work = 1/9 Ravi’s 1 day work = 1/7 Arul’s salary : Ravi’s salary = Arul’s 1 day work : Ravi’s 1 day work = 1/9 : 1/7 = 7 :9 Arul’s share = Rs.(7/16 *288) =Rs.126

Among 4 persons A, B, C and D. A takes twice as much time as B to complete a piece of work. B takes twice as much time as C and C takes twice as much time as D to complete the same work. One group of three of the four men can complete the work in 11 days while another group of three can do so in 7 days. Which is the group that takes 11 days? a) A.B.C b) A,B,D c) B,C,D d) None of the above

Description : Among 4 persons A, B, C and D. A takes twice as much time as B to complete a piece of work. B takes twice as much time as C and C takes twice as much time as D to complete the same work. One group of three of the ... is the group that takes 11 days? a) A.B.C b) A,B,D c) B,C,D d) None of the above

Last Answer : B From the given information B is twice as efficient as A. C is twice as efficient as B. D is twice efficient as C. If work done by A in a day is 'n' units, the work done in a day by B, ... of times taken to complete the work by the former and later groups is 11:7 A, B and D take 11 days.

Praneetha and Pooja together can do a piece of work in 24 days ,which pooja and priya can do in 32 days. After praneetha has been working at it for 10 days and pooja for 14 days, Priya finishes it in 26 days. In how many days Priya alone will do the work? a) 12 days b) 24 days. c) 48 days d) 50 days

Description : Praneetha and Pooja together can do a piece of work in 24 days ,which pooja and priya can do in 32 days. After praneetha has been working at it for 10 days and pooja for 14 days, Priya finishes it in 26 days. In how many days Priya alone will do the work? a) 12 days b) 24 days. c) 48 days d) 50 days

Last Answer : C Praneetha's 10 day's work + Pooja 14 day's work + Priya's 26 days work = 1 (Praneetha's +pooja's) 10 day's work + (pooja + priya)'s 4 day's work +priya's 22 days work = 1 =>10/24 + 4/32 + priya' ... 13/24 =11/24 Priya's 1 day's work = 11/24 * 1/22 =1/48 Priya can finish the work in 48 days.

X,Y and Z can do a certain job in 72,108 and 144 days respectively. They started the job but X left 16 days before the completion of the job while Y left 24 days before the completion. The number of days for which Z worked is. a) 12 days b) 24 days c) 36 days d) 48 days

Description : X,Y and Z can do a certain job in 72,108 and 144 days respectively. They started the job but X left 16 days before the completion of the job while Y left 24 days before the completion. The number of days for which Z worked is. a) 12 days b) 24 days c) 36 days d) 48 days

Last Answer : D Suppose the work was finished in a' days Then X's (a - 16) day's work + Y's (a - 24) days + Z's a days work = 1 (a-16)/72 + (a-24)/108 + a/144 =1 lcm of 72,108,144 is 432 (6(a-16) + 4( ... = 432 6a - 96 +4a - 96 =3a = 432 13a - 192 = 432 13a = 624 => a =48 Therefore Z worked in 48 days.

Nandhu, naren and abishek can do a piece of work in 10,15, and 30 days respectively. In how many days can Nandhu do the work if he is assisted by naren and abishek on alternate days? a) 6.6 days b) 7.5 days c) 8.4 days d) 9.1 days

Description : Nandhu, naren and abishek can do a piece of work in 10,15, and 30 days respectively. In how many days can Nandhu do the work if he is assisted by naren and abishek on alternate days? a) 6.6 days b) 7.5 days c) 8.4 days d) 9.1 days 

Last Answer : B Nandhu's 1 day work = 1/10 Naren's 1 day work = 1/15 Abishek's 1 day work =1/30 Nandhu's 2 day's work =(1/10*2) =1/5 (nandhu + naren+abishek)'s 1 day work = 1/10+1/15+1/30 =3+2+1/30 =6/30 ... +1/5 = 2/5 Now 2/5 work is done in 3 days Whole work will be done in 3 *5/2 = 15/2 = 7.5 days

If 24 women and 32 girls can do a piece of work in 5 days; 26 women and 48 girls can do it in 4 days then the ratio of the daily work done by a women to that of a girl is. a) 2:1 b) 1:3 c) 3:1 d) 1:2

Description : If 24 women and 32 girls can do a piece of work in 5 days; 26 women and 48 girls can do it in 4 days then the ratio of the daily work done by a women to that of a girl is. a) 2:1 b) 1:3 c) 3:1 d) 1:2

Last Answer : A Let 1 women's 1 day work = x 1 girl's 1 day work = y Then 24x+32y = 1/5 =>6x+8y = 1/20 ------->1 26x + 48y = 1 / 4 => 13x + 24y = 1/8 -------->2 Multiply 1 by 3 18x + 24y = 3/20 13x + ... 200 = (10 - 6)/ 200 = 4/200 8y = 1/50 Y=1/400 Required ratio = x:y = 1/200: 1/400 =400:200 =2:1

Madhesh does half work as much as vinith in three eighth of the time. If together they take a day to complete the work, how much time shall vinith take to do it? a) 21 b) 22 c) 23 d) 24

Description : Madhesh does half work as much as vinith in three eighth of the time. If together they take a day to complete the work, how much time shall vinith take to do it? a) 21 b) 22 c) 23 d) 24

Last Answer : A Suppose vinith takes x days to do the work Madhesh takes (2*3/8 x) = 6/8x i.e., 3/4x days to do it (madhesh + vinith’s) 1 day work = 1/9 Therefore 1/x +4/3x = 1/9 (3+4) / 3x = 1/9 7/3x = 1/9 3x = 9*7 X = 63/ 3 =21 Vinith takes 21 days to do the work.

2 male, 6 female, and 8 girls can do a work in 192 hrs, 4 male and 16 girls can do it in 160 hrs, 4 male and 6 female can do it in 240 hrs.10 male and 24 girls can do it in. a) A.87 3/ 11 hrs b) B.78 4 /11 hrs c) C.88 6 /12 hrs d) 80 4 /5 hrs

Description : 2 male, 6 female, and 8 girls can do a work in 192 hrs, 4 male and 16 girls can do it in 160 hrs, 4 male and 6 female can do it in 240 hrs.10 male and 24 girls can do it in. a) A.87 3/ 11 hrs b) B.78 4 /11 hrs c) C.88 6 /12 hrs d) 80 4 /5 hrs

Last Answer : A Let 1 males 1 hr work = x 1 female 1 hour work = y 1 girl 1 hour work = z Then 2x + 6y + 8z = 1/192 ------>1 4x + 16z = 1/160 --------->2 4x + 6y = 1/240 ------------->3 Adding 2 and ... 1/192 + 1/160 =(5+6) / 960 = 11/960 10 male and 24 girls can do work in 960/11 hrs i.e., 87 3 /11 hrs

A motor bike tyre has two punctures. The 1st puncture alone would have made the tyre flat in 27 minutes and the 2nd alone would have done it in 18 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat? a) 20 4/3 minutes b) 15 4/7 minutes c) 10 4/5 minutes d) 25 4/3 minutes

Description : A motor bike tyre has two punctures. The 1st puncture alone would have made the tyre flat in 27 minutes and the 2nd alone would have done it in 18 minutes. If air leaks out at a constant rate, how long does it take ... flat? a) 20 4/3 minutes b) 15 4/7 minutes c) 10 4/5 minutes d) 25 4/3 minutes

Last Answer : C 1st puncture made the tyre flat in 27 mins 2nd puncture made the tyre flat in 18 mins 1 minute’s work of both the punctures = (1/27 + 1/18) =(2+3)/54 =5/54 So, both the punctures will make the tyre flat in 54/5 mins =>10 4/5 minutes

Assume postal rates for 'light letters' are: $0.25 up to 10 grams; $0.35 up to 50 grams; $0.45 up to 75 grams; $0.55 up to 100 grams. Which test inputs (in grams) would be selected using boundary value analysis? A. 0, 9,19, 49, 50, 74, 75, 99,100 B. 10, 50, 75,100, 250, 1000 C. 0, 1,10,11, 50, 51, 75, 76,100,101 D. 25, 26, 35, 36, 45, 46, 55, 56

Description : Assume postal rates for 'light letters' are: $0.25 up to 10 grams; $0.35 up to 50 grams; $0.45 up to 75 grams; $0.55 up to 100 grams. Which test inputs (in grams) would be selected using boundary value analysis? A. 0, 9,19, ... C. 0, 1,10,11, 50, 51, 75, 76,100,101 D. 25, 26, 35, 36, 45, 46, 55, 56

Last Answer : C. 0, 1,10,11, 50, 51, 75, 76,100,101

Vinay can do a work in 28 days. Vikram is 75% more efficient than vinay. The number of days taken by vikram to do the same piece of work. a) 12 days b) 14 days c) 16 days d) 18 days

Description : Vinay can do a work in 28 days. Vikram is 75% more efficient than vinay. The number of days taken by vikram to do the same piece of work.  a) 12 days b) 14 days c) 16 days d) 18 days

Last Answer : C Given a certain work done by vinay = 28 days Efficient percentage of vikram = 75% Ratio of time taken by vinay and vikram = 175 : 100 = 7:4 Suppose vikram takes ‘x’ days to do the work. 7:4 :: 28 : x 7x = 4*28 X= 4*28/7 X= 4*4 = 16 days So vikram takes 16 days to do the work.

M & N can do a work together in 12 days. M is 2 ½ time as efficient as N. the same work can be done by M alone in. a) 84/5 b) 6/84 c) 82/5 d) 6/82

Description : M & N can do a work together in 12 days. M is 2 ½ time as efficient as N. the same work can be done by M alone in. a) 84/5 b) 6/84 c) 82/5 d) 6/82

Last Answer : A M’s 1 day work = 2 ½ = 5/2 N’s 1 day work = 1 Ratio of M and N = 5/2 : 1= 5:2 Let M’s and N’s 1 day work be 5x and 2x respectively. Then 5x+2x = 1/12 7x=1/12 X= 1/(12*7) X=1/84 M’s 1 day work = 1/84 * 5 = 5/84 Hence M alone can finish the work in 84/5 days.

A sum of amount of money is adequate to pay peter’s salary for 42 days and Harish’s salary for 56 days. The same money is adequate to pay the salary of both for. a) 12 days b) 24 days c) 36 days d) 48 days

Description : A sum of amount of money is adequate to pay peter’s salary for 42 days and Harish’s salary for 56 days. The same money is adequate to pay the salary of both for. a) 12 days b) 24 days c) 36 days d) 48 days

Last Answer : B Let the total money be Rs.x Peter’s 1 day salary = Rs. x/42 Harish 1 day salary = Rs. x/56 (peter+harish)’s 1 day salary = Rs(x/42+x/56) =(4x+3x)/168 =7x/168 =x/24 Money is adequate to pay the salary of both for 24 days.

P, Q and R together earn Rs.420 per day, while P and R together earn Rs.296 and Q and R together earn Rs.164. The daily earning of R is : a) Rs.50 b) Rs.80 c) Rs.40 d) Rs.60

Description : P, Q and R together earn Rs.420 per day, while P and R together earn Rs.296 and Q and R together earn Rs.164. The daily earning of R is : a) Rs.50 b) Rs.80 c) Rs.40 d) Rs.60

Last Answer : D (P+Q+R)’s earning = Rs. 420 (P+R)’s earning=Rs 296 (Q+R)’s earning=Rs 164 Q’s daily earning = Rs. (420 ⎯296) = Rs.124 P’s daily earning = Rs. (420 ⎯164) = Rs.236 Now (P+Q)’s earning=Rs 360 R’s daily earning = Rs. [420 ⎯360] = Rs.60

An industry employed 1200 men and 800 women and the average salary was Rs 51 per day. If a woman got Rs 10 less than a man , then what are their daily salary?(mens and women respectively) A) men Rs 25 and women Rs 35 B) men Rs 45 and women Rs 55 C) men Rs 35 and women Rs 25 D) men Rs 55 and women Rs 45

Description : An industry employed 1200 men and 800 women and the average salary was Rs 51 per day. If a woman got Rs 10 less than a man , then what are their daily salary?(mens and women respectively) A) men Rs 25 and women Rs ... Rs 45 and women Rs 55 C) men Rs 35 and women Rs 25 D) men Rs 55 and women Rs 45

Last Answer : D) Let the daily salary of man be Rs’x’ Then the daily salary of a women = Rs (x-100 Now 1200x + 800(x-10) = 51 *(1200+800) 1200x+800x -8000 = 51*2000 2000x = 102000+8000 =110000 X=55 Therefore mens daily salary Rs 55 and womens daily salary Rs 45

A manufacture undertakes to supply 2000 pieces of a particular component at Rs.25 per piece. According to his estimates, even if 5% fail to pass the quality tests, then he will make a profit of 25%. However as it turned out, 50% of the components were rejected. What is the loss to the manufacture? [TCS recruitment exam question] A. Rs 12,000 B. Rs 13,000 C. Rs 14,000 D. Rs 15,000 E. None f these

Description : A manufacture undertakes to supply 2000 pieces of a particular component at Rs.25 per piece. According to his estimates, even if 5% fail to pass the quality tests, then he will make a profit of 25%. However as it turned out, ... A. Rs 12,000 B. Rs 13,000 C. Rs 14,000 D. Rs 15,000 E. None f these

Last Answer : Answer - B. Rs 13,000 Explanation: 5% of 2000=100 so 2000-100=1900 so,if he sells 1900 he will get 25% profit cost per piece rs 25 so 25x 1900 don't solve here if 125% . ... /125=38000=CP if 50% rejected,only 1000 pieces sold so 1000 25=25000=SP loss=cp-sp= 38000-25000=13000

At what height must top rails be fitted above working platform? a. Between 90 cm (35 inches) and 110 cm (43 inches) b. Between 100 cm (39 inches) and 120 cm (47 inches) c. Between 95 cm (38 inches) and 115 cm ( 45 inches) d. Between 105 cm (41 inches)and 125 cm (49 inches)

Description : At what height must top rails be fitted above working platform? a. Between 90 cm (35 inches) and 110 cm (43 inches) b. Between 100 cm (39 inches) and 120 cm (47 inches) c. Between 95 cm (38 inches) and 115 cm ( 45 inches) d. Between 105 cm (41 inches)and 125 cm (49 inches)

Last Answer : c. Between 95 cm (38 inches) and 115 cm ( 45 inches)

Out of 100 kcal/second of incident radiant energy on the surface of a thermally transparent body, 300 kcal/second is reflected back. If the transmissivity of the body is 0.25, the emissivity of the surface will be (A) 0.35 (B) 0.45 (C) 0.55 (D) 0.85

Description : Out of 100 kcal/second of incident radiant energy on the surface of a thermally transparent body, 300 kcal/second is reflected back. If the transmissivity of the body is 0.25, the emissivity of the surface will be (A) 0.35 (B) 0.45 (C) 0.55 (D) 0.85

Last Answer : (B) 0.45