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Aptitude - Time & Work Online Quiz
Following quiz provides Multiple Choice Questions (MCQs) related to Simple Interest. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.
Q 1 - To finish a work, a sets aside half additional time than B. In the event that together they take 18 days to finish the work, what amount of time might B take to isn't that right?
Answer : A
Explanation
Suppose B takes x days. Then , A takes 150x/100 days , i.e. 3x/2 days ∴1/x+ 2/3x= 1/18 ⇒5/3x= 1/18 ⇒3x = 90 ⇒x= 30 Hence B takes 30 days.
Q 2 - A and B together can finish a bit of work in 12 days, B and C can do it in 20 days and C and A do it 15 days. A, B and C together can finish it in
Answer : C
Explanation
(A+B) 1days works =1/12, (B+C) 1days work =1/20, (C+A) 1 days work=1/15. 2(A+B+C) 1days work = (1/12+1/20+1/15) = (5+3+4)/60=12/60=1/5. ⇒ (A+B+C) 1 days works=1/10. ∴A, B and C together can do it in 10 days
Q 3 - A can do a bit of work in 20 days which B can do in 12 days. B worked at it for 9 days. A can complete the remaining work in:
Answer : B
Explanation
B's 9 days work = (1/12*9)= 3/4 ; remaining work = (1-3/4 )= 1/4 1/20 work is finished by A in 1 day. 1/4 works is finished by A in (20*1/4) days. =5 days
Q 4 - A can do a bit of work in 10 days and B can do it in 20 days. They begin the work together . Be that as it may, following 5 days, A leaves off. B will do the remaining work in
Answer : A
Explanation
(A+B)'s 5 days work = 5(1/10+ 1/20) = 3/4 ; remaining work = (1- 3/4) = 1/4 1/20 work is done by B in 1 day. 1/4 work is done B in (20* 1/4) = 5 days
Q 5 - The rates of working of A and B are in the proportion 3:4. The no. of days taken by them to complete the work is in the proportion
Answer : C
Explanation
Ratio of time taken = 1/3 : 1/4 = 4:3
Q 6 - A men, a ladies and a kid can together finish a bit of work in 3 days. In the event that a men alone can do it in 6 days and a kid alone in 18 days, to what extent will a ladies take to finish the work?
Answer : A
Explanation
(1 man+ 1 women +1 boy ) 1 day work = 1/3 Suppose the women alone can do it in x days. Then 1/6 +1/x+1/18= 1/3 ⇒4/18 +1/x = 1/3 ⇒1/x = (1/3- 2/9) = 1/9 So, 1 woman can do the work in 9 days
Q 7 - 4 men and 6 ladies complete an occupation in 8 days while 3 men and 7 ladies complete it in 10 days. 10 ladies cooperating will complete it in
Answer : D
Explanation
Let 1 men 1 day work be x and 1 women 1 day work be y. then 4x+6 y= 1/8 ... (1) 3x+7y = 1/10 ...(11) Multiplying (1) by 3, (11) by 4 and subtracting, we get 10 y = (4/10- 3/8) = (16-15)/40 = 1/40 ⇒y = 1/400 1 women's 1 day work = 1/400 10 women 1 day work = (1/400*10) = 1/40 Hence 10 women can finish the work in 40 days
Q 8 - 2 men and 3 ladies can complete a bit of work in 10 days, while 4 men can do it in 10 days. In how long will 3 men and 3 ladies complete it?
Answer : C
Explanation
Let 1 men 1 day work be x and 1 women 1 day work be y. then 2x+3y = 1/10 ... (1) 4x= 1/10 ⇒ x= 1/40 Putting x= 1/40 in (1), we get 2*1/40 + 3y = 1/10 ⇒3 y = (1/10- 1/20) = 1/20 ⇒y = 1/60 (3 men + 3 women)'s 1 day work = (3* 1/40 + 3*1/60) = (3/40 +1/20) = 1/8 SO, they will finish the work in 8 days.
Q 9 - A does 4/5th of a work in 20 days. He then assembles in B and they complete the remaining work in 3 days. To what extent B alone would take to do the entire work?
Answer : C
Explanation
4/5 work is done by A in 20 days. Whole work is done by A in (20*5/4) days =25 days. 1/5th work is done by (A+B) in 3 days. Whole work is done by (A+B) in (3*5) days=15 days. B 1 days work= (1/15-1/25) =2/75. B alone can finish the work in 75/2 days.
Q 10 - 10 ladies can finish a work in 7 days and 10 youngsters take 14 days to finish the work. How long will 5 ladies and 10 kids take to finish the work?
Answer : C
Explanation
10 woman 1 day work =1/7⇒1 woman 1 day work =1/70. 10 children 1 day work =1/14⇒1 child 1 day work=1/140. (5 woman +10children) 1 days work= (5*1/70+10*1/140) = (1/14+1/14) =2/14=1/7. ∴5 woman and 10 children will finish the work in 7 days.