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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 - A does 20% less work than B. In the event that A can finish a bit of work in 15/2 hours, then B can do it in
Answer : C
Explanation
Suppose in a given time B completes the whole work. Then, in that time A does 80/100 work i.e. 4/5 work Ratio of work done by A and B = inverse ratio of time taken by A and B. Suppose B do the work in x hrs .Then, 4/5:1=2/15:1/x⇒4:5=2x: 15 ⇒ (5*2x) = (4*15) ⇒10x =60⇒x=6. Time taken by B to finish the work=6hrs.
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 and B can do a bit of work in 45 days and 40 days . they started the work together however A leaves after a few days and B completed the remaining work in 23 days . After how long did A leaves?
Answer : C
Explanation
Work done by B in 23 days = (23*1/40) = 23/40 ; remaining work = (1- 23/40)= 17/40 (A+B)'s 1 day work = ( 1/45+ 1/40) = (8+9)/360 = 17/360 17/360 work is done by (A+B) in 1 day. 17/40 work is done by them in (360/17*17/40) = 9 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 - 6 men and 8 young men can do a bit of work in 10 days while 26 men and 48 young men complete it in 2 days. 15 men and 20 young men will complete it in
Answer : A
Explanation
Let 1 men's 1 day 's work be x and 1 boys 1 day work be y. then 6x+ 8y = 1/10 ... (1) 26x+ 48y= 1/2 ... (11) Multiplying (1) by 6 and subtracting (11) from it, we get 10x = (6/10- 1/2) = 1/10 ⇒ x= 1/100 Putting x = 1/100 in (1), we get 6/100 +8 y = 1/10 ∴ 8y = (1/10 ? 6/100) = 4/100 ⇒y = 4/ 8*100= 1/200 (15 men + 20 boys)'s 1day work = (15/100+ 20/200) = 50/200 = 1/4 ∴ 15 men + 20 boys will finish the work in 4 days.
Q 8 - 10 men can complete a bit of work in 10 days, though it takes 12 ladies to complete it in 10 days. On the off chance that 15 men and 6 ladies attempt to finish the work, how long will they take to finish it?
Answer : C
Explanation
10 men = 12 women ⇒1 women = 6/5 women (15 men + 6 women)= (15* 6/5+ 6) = 24 women 12 women can do a piece of work in 10 days. ∴ 24 women will do it in (10*12)/24 = 5 days
Q 9 - A can do 1/4th some portion of the work in 10 days, B can do 40% of the work in 40 days and C can do 1/3 rd of the work in 13 days. Who will finish the work first?
Answer : C
Explanation
1/4th of the work is done by A in 10 days. Whole work will be done by A in (10*4/1) = 40 days 40/100 of the work is done by B in 40 days. Whole work will be done by B in (40*5/2) = 100 days 1/3 of the work is done by C in 13 days. Whole work will be done by C in (13*3/1) = 39 days Hence, C will complete the work first.
Q 10 - A man, a ladies and a kid can finish a vocation in 3 days, 4 days and 12 days individually. What number of young men must help 1 man and 1 lady to finish the occupation in 1/fourth of the day?
Answer : D
Explanation
1 man 1 days work =1/3,1 woman 1 days work=1/4,1 boy 1 day work=1/12. 1 man 1/4 day work= (1/3*1/4) =1/12, 1 woman 1/4 day work work= (1/4*1/4) =1/6. 1 boy 1/4 day work = (1/12*1/4) =1/48. Let (1 man +1 woman + x boys) work=1⇒1/12+1/16+x/48=1⇒7+x=48⇒x=41.