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Quantitative Aptitude

TIME AND WORK MCQs

Time & Work, Work And Wages

Total Questions : 1512 | Page 144 of 152 pages
Question 1431. If 6 men can make 10 sofas in 2 days, then 8 men can make 8 sofas in__________?
  1.    1.8 days
  2.    1.5 days
  3.    1.2 days
  4.    1 day
 Discuss Question
Answer: Option C. -> 1.2 days
TIME IS
DIRECTLY PROPORTIONAL TO NUMBER OF SOFAS
INVERSELY PROPORTIONAL TO NUMBER OF PEOPLE NO. OF DAYS
= (6/8)*(8/10)*2
= 1.2 DAYS
Question 1432. If 3 men or 4 women can construct a wall in 43 days, then the number of days that 7 men and 5 women take to construct it is :
  1.    12 days
  2.    14 days
  3.    16 days
  4.    18 days
 Discuss Question
Answer: Option C. -> 16 days
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!
Question 1433. If 6 men take 9 days to complete a work, how many men can complete the work in 3 days?
  1.    2 men
  2.    12 men
  3.    9 men
  4.    18 men
 Discuss Question
Answer: Option D. -> 18 men
FOR THE WORK TO BE COMPLETED IN 9 DAYS,
6 MEN ARE REQUIRED. TIME AND MEN ARE INVERSELY PROPORTIONAL. FOR THE WORK TO BE COMPLETED IN 3 DAYS,
6*9/3 = 18 MEN ARE REQUIRED
Question 1434. If 10 workers can make 10 tables in 10 days, then how many days would it take for 5 workers to make 5 tables?
  1.    1
  2.    5
  3.    10
  4.    25
 Discuss Question
Answer: Option C. -> 10
10 WORKERS MAKE 10 TABLES IN 10 DAYS. 1 WORKER MAKES 1 TABLE IN 10 DAYS. SIMILARLY, 5 WORKERS CAN MAKE 5 TABLES IN 10 DAYS.
Question 1435. Assume that 20 cows and 40 goats can be kept for 10 days for Rs.460. If the cost of keeping 5 goats is the same as the cost of keeping 1 cow, what will be the cost for keeping 50 cows and 30 goats for 12 days?
  1.    Rs.1104
  2.    Rs.1000
  3.    Rs.934
  4.    Rs.1210
 Discuss Question
Answer: Option A. -> Rs.1104
ASSUME THAT COST OF KEEPING A COW FOR 1 DAY = C ,
COST OF KEEPING A GOAT FOR 1 DAY = G
COST OF KEEPING 20 COWS AND 40 GOATS FOR 10 DAYS = 460
COST OF KEEPING 20 COWS AND 40 GOATS FOR 1 DAY = 460/10 = 46
=> 20C + 40G = 46
=> 10C + 20G = 23 —(1)
GIVEN THAT 5G = C
HENCE EQUATION (1) CAN BE WRITTEN AS 10C + 4C = 23 => 14C =23
=> C=23/14
COST OF KEEPING 50 COWS AND 30 GOATS FOR 1 DAY
= 50C + 30G
= 50C + 6C (SUBSTITUTED 5G = C)
= 56 C = 56×23/14
= 92
COST OF KEEPING 50 COWS AND 30 GOATS FOR 12 DAYS = 12×92 = 1104
Question 1436. A is thrice as good a work man as B and takes 10 days less to do a piece of work than B takes. B can do the work in:___________?
  1.    15 days
  2.    14 days
  3.    16 days
  4.    30 days
 Discuss Question
Answer: Option A. -> 15 days
RAIO OF TIMES TAKEN BY A AND B = 1 : 3
IF THE DIFFERENCE OF TIME IS 2 DAYS, B TAKES 3 DAYS. IF THE DIFFERENCE OF TIME IS 10 DAYS.
B TAKES [3/2×10]=15 DAYS
Question 1437. P takes twice as much time as Q or thrice as much time as R to finish a piece of work. They can finish the work in 2 days if work together. How much time will Q take to do the work alone?
  1.    7
  2.    8
  3.    9
  4.    6
 Discuss Question
Answer: Option D. -> 6
LET P TAKES X DAYS TO COMPLETE THE WORK
THEN Q TAKES X/2 DAYS AND R TAKES X/3 DAYS TO FINISH THE WORK
AMOUNT OF WORK P DOES IN 1 DAY = 1/X
AMOUNT OF WORK Q DOES IN 1 DAY = 2/X
AMOUNT OF WORK R DOES IN 1 DAY = 3/X
AMOUNT OF WORK P,Q AND R DO IN 1 DAY = 1/X + 2/X + 3/X = 1/X (1 + 2 + 3) = 6/X
6/X = 2
=> X = 12
=> Q TAKES 12/2 DAYS = 6 DAYS TO COMPLETE THE WORK
Question 1438. A tank can be filled by a pipe in 20 min. and by another pipe in 60 min. Both the pipes are kept open for 10 min. and then the first pipe is shut off. After this, the tank will be completely filled in__________?
  1.    10 min
  2.    20 min
  3.    30 min
  4.    40 min
 Discuss Question
Answer: Option B. -> 20 min
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!
Question 1439. 3 men and 7 women can complete a work in 10 days . But 4 men and 6 women need 8 days to complete the same work . In how many days will 10 women complete the same work?
  1.    50
  2.    30
  3.    40
  4.    13
 Discuss Question
Answer: Option C. -> 40
WORK DONE BY 4 MEN AND 6 WOMEN IN 1 DAY = 1/8
WORK DONE BY 3 MEN AND 7 WOMEN IN 1 DAY = 1/10
LET 1 MAN DOES M WORK IN 1 DAY AND 1 WOMAN DOES W WORK IN 1 DAY. THE ABOVE EQUATIONS CAN BE WRITTEN AS
4M + 6W = 1/8 —(1)
3M + 7W = 1/10 —(2)
SOLVING EQUATION (1) AND (2) , WE GET M=11/400 AND W=1/400
AMOUNT OF WORK 10 WOMEN CAN DO IN A DAY = 10 × (1/400) = 1/40
IE, 10 WOMEN CAN COMPLETE THE WORK IN 40 DAYS
Question 1440. P, Q and R can do a work in 20, 30 and 60 days respectively. How many days does it need to complete the work if P does the work and he is assisted by Q and R on every third day?
  1.    10 days
  2.    14 days
  3.    15 days
  4.    9 days
 Discuss Question
Answer: Option C. -> 15 days
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!

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