Quantitative Aptitude
TIME AND WORK MCQs
Time & Work, Work And Wages
Total Questions : 1512
| Page 149 of 152 pages
Answer: Option A. -> 13
A COMPLETES 2*(1/8) = 1/4TH OF THE WORK 2/3RD OF THE REMAINING WORK
= (3/4) * (2/3) = 1/2 B COMPLETES 1/2 OF THE WORK IN
(1/2)÷(1/14) = 7 DAYS C COMPLETES 1/4TH OF THE WORK IN
(1/4)÷(1/16) = 4 DAYS THEY TAKE 13 DAYS TO COMPLETE THE WORK
A COMPLETES 2*(1/8) = 1/4TH OF THE WORK 2/3RD OF THE REMAINING WORK
= (3/4) * (2/3) = 1/2 B COMPLETES 1/2 OF THE WORK IN
(1/2)÷(1/14) = 7 DAYS C COMPLETES 1/4TH OF THE WORK IN
(1/4)÷(1/16) = 4 DAYS THEY TAKE 13 DAYS TO COMPLETE THE WORK
Answer: Option B. -> 15/2 days
RATIO OF TIME, TAKEN BY A AND B = 160 : 100 = 8 : 5
IF A TAKES 8 DAYS, B TAKES 5 DAYS.
IF A TAKES 12 DAYS, B TAKES = [5/8×12]=15/2 DAYS
RATIO OF TIME, TAKEN BY A AND B = 160 : 100 = 8 : 5
IF A TAKES 8 DAYS, B TAKES 5 DAYS.
IF A TAKES 12 DAYS, B TAKES = [5/8×12]=15/2 DAYS
Answer: Option B. -> 120/7 days
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!
Answer: Option C. -> 7
PART OF WORK COMPLETED BY A IN A DAY = 1/21 PART OF WORK COMPLETED BY B IN A DAY = 1/24 PART OF WORK COMPLETED BY THEM TOGETHER IN A DAY = (1/21)+(1/24)
= 5/56 PART OF WORK COMPLETED BY B IN 9 DAYS
= 9/24 = 3/8 IF A LEFT AFTER X DAYS,
(5X/56)+(3/8) = 1
X = 7
PART OF WORK COMPLETED BY A IN A DAY = 1/21 PART OF WORK COMPLETED BY B IN A DAY = 1/24 PART OF WORK COMPLETED BY THEM TOGETHER IN A DAY = (1/21)+(1/24)
= 5/56 PART OF WORK COMPLETED BY B IN 9 DAYS
= 9/24 = 3/8 IF A LEFT AFTER X DAYS,
(5X/56)+(3/8) = 1
X = 7
Answer: Option C. -> 125
M1*D1*W2 = M2*D2*W1
WHERE, M – NUMBER OF PEOPLE WORKING
D – TIME OF WORK
W – NUMBER OF TASKS OR WORK
6*4*W2 = 10*6*50
W2 = 125 TASKS
M1*D1*W2 = M2*D2*W1
WHERE, M – NUMBER OF PEOPLE WORKING
D – TIME OF WORK
W – NUMBER OF TASKS OR WORK
6*4*W2 = 10*6*50
W2 = 125 TASKS
Answer: Option A. -> 4 days
LET WORK DONE BY 1 MAN IN 1 DAY = M AND WORK DONE BY 1 WOMAN IN 1 DAY = B
WORK DONE BY 6 MEN AND 8 WOMEN IN 1 DAY = 1/10
=> 6M + 8B = 1/10
=> 60M + 80B = 1 — (1)
WORK DONE BY 26 MEN AND 48 WOMEN IN 1 DAY = 1/2
=> 26M + 48B = ½
=> 52M + 96B = 1— (2)
SOLVING EQUATION 1 AND EQUATION 2. WE GET M = 1/100 AND B = 1/200
WORK DONE BY 15 MEN AND 20 WOMEN IN 1 DAY
= 15/100 + 20/200 =1/4
=> TIME TAKEN BY 15 MEN AND 20 WOMEN IN DOING THE WORK = 4 DAYS
LET WORK DONE BY 1 MAN IN 1 DAY = M AND WORK DONE BY 1 WOMAN IN 1 DAY = B
WORK DONE BY 6 MEN AND 8 WOMEN IN 1 DAY = 1/10
=> 6M + 8B = 1/10
=> 60M + 80B = 1 — (1)
WORK DONE BY 26 MEN AND 48 WOMEN IN 1 DAY = 1/2
=> 26M + 48B = ½
=> 52M + 96B = 1— (2)
SOLVING EQUATION 1 AND EQUATION 2. WE GET M = 1/100 AND B = 1/200
WORK DONE BY 15 MEN AND 20 WOMEN IN 1 DAY
= 15/100 + 20/200 =1/4
=> TIME TAKEN BY 15 MEN AND 20 WOMEN IN DOING THE WORK = 4 DAYS
Answer: Option D. -> 4
WORK DONE BY Q IN 1 DAY = 1/12
WORK DONE BY P IN 1 DAY = 2 × (1/12) = 1/6
WORK DONE BY P AND Q IN 1 DAY = 1/12 + 1/6 = ¼
=> P AND Q CAN FINISH THE WORK IN 4 DAYS
WORK DONE BY Q IN 1 DAY = 1/12
WORK DONE BY P IN 1 DAY = 2 × (1/12) = 1/6
WORK DONE BY P AND Q IN 1 DAY = 1/12 + 1/6 = ¼
=> P AND Q CAN FINISH THE WORK IN 4 DAYS
Answer: Option D. -> 13
WORK DONE BY P IN 1 DAY = 1/23
LET WORK DONE BY Q IN 1 DAY = Q
Q × (130/100) = 1/23
=> Q = 100/(23×130) = 10/(23×13)
WORK DONE BY P AND Q IN 1 DAY = 1/23 + 10/(23×13) = 23/(23×13)= 1/13
=> P AND Q TOGETHER CAN DO THE WORK IN 13 DAYS
WORK DONE BY P IN 1 DAY = 1/23
LET WORK DONE BY Q IN 1 DAY = Q
Q × (130/100) = 1/23
=> Q = 100/(23×130) = 10/(23×13)
WORK DONE BY P AND Q IN 1 DAY = 1/23 + 10/(23×13) = 23/(23×13)= 1/13
=> P AND Q TOGETHER CAN DO THE WORK IN 13 DAYS
Answer: Option A. -> 5 min
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!
Answer: Option A. -> 10 min
WORK DONE BY WASTE PIPE IN 1 MINUTE
=1/20−(1/12+1/15)=−1/10
WASTE PIPE WILL EMPTY THE FULL CISTERN IN 10 MINUTES.
WORK DONE BY WASTE PIPE IN 1 MINUTE
=1/20−(1/12+1/15)=−1/10
WASTE PIPE WILL EMPTY THE FULL CISTERN IN 10 MINUTES.
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