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SSC CGL Exam Quantitative Aptitude Study Material

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Time And Work Problem

20 men can do a piece of work in 18 days, They worked together for 3 days, then 5 men joined them. In how many more days is the work completed?

a) 15
b) 12
c) 14
d) 13

✔Answer

✔Solution

Correct Answer Is : 12

Solution Is : Work done by 20 men in 3 days = 3/18 =1/6 part remaining work 1 - 1/6 = 5/6 part M? D?/ W? = M? D? / W? = 20 x18 / 1 = 25 x D? / 5/6 = 6 x 25 x D? = 5 x 20 x 18 = D? = 5 x 20 x 18 / 6 x 25 = 12 days

12 monkeys can eat 12 bananas in 12 minutes. In how many minutes can 4 monkeys eat 4 bananas?

a) 10
b) 12
c) 4
d) 8

✔Answer

✔Solution

Correct Answer Is : 12

Solution Is :

A can do 7/8 of work in 28 days, B can do 5/6 of the same work in 20 days. The number of days they will take to complete if they do it together is

a) 15 3/7 days
b) 17 3/5 days
c) 14 5/7 days
d) 13 5/7 days

✔Answer

✔Solution

Correct Answer Is : 13 5/7 days

Solution Is : A does 7/8 work in 28 days. A will complete the work in 28 * 8/7 = 32 days. B does 5/6 work in 20 days. B will complete the work in 20 * 6/5 = 24 days. (A + B) `s 1 day`s work =1/32 + 1/24 = 3+4/96 = 7/96 Required time, = 96/7 = 13 5/7 days

Seventy- five men are employed to lay down a railway line in 3 months. Due to certain emergency conditions, the work was to be finished in 18 days. How many more men should be employed to complete the work in the desired time ?

a) 300
b) 325
c) 350
d) 375

✔Answer

✔Solution

Correct Answer Is : 300

Solution Is : M?D? = M?D? => 75 * 90 = M? * 18 => M₂= 75*90/18 = 375 Number of additional men 375 - 75 = 300

A and B can do a piece of work in 12 days, B and C in 15 days, C and A in 20 days. A alone can do the work in

a) 15 2/3 days
b) 30 days
c) 24 days
d) 40 days

✔Answer

✔Solution

Correct Answer Is : 30 days

Solution Is :

If 12 carpenters working 6 hours a day can make 460 chairs in 240 days, then the number of chair made by 18 carpenters in 36 days each working 8 hours a day is

a) 92
b) 132
c) 138
d) 126

✔Answer

✔Solution

Correct Answer Is : 138

Solution Is :

A can do a place of work in 25 days and B can do the same work in 30 days. They work together for 5 days, how much of work is left?

a) Nov-30
b) 15/30
c) 19/30
d) Dec-30

✔Answer

✔Solution

Correct Answer Is : 19/30

Solution Is : (A+B)s 1 days work =(1/25)+(1/30)=(6+5/150)=11/150 (A+B)s 5 days work =(5*11/150) =11/30 Remaining work =1-(11/30) =(30-11/30) =(19/30)

If 6 men can do a piece of work in 20 days and one man can do the work of two boys, then in how many days can 10 men and 5 boys do the same work ?

a) 8days
b) 10days
c) 12 days
d) None of these

✔Answer

✔Solution

Correct Answer Is : None of these

Solution Is : 10men + 5boys = 25 boys 6men = 12 boys M1D1=M2D2 =>12 * 20 = 25 * D2 => D2 = 12 * 20/ 25 = 48 /5 = 9 3/5days

If a piece of work could be completed in 24 days by 98 men, how many men would it take to complete it in 21 days ?

a) 122
b) 112
c) 132
d) 102

✔Answer

✔Solution

Correct Answer Is : 112

Solution Is : M1 D1 = M2D2 =>98 * 24 =21 * M2 => M2 = 98 * 24/21 = 112

If 16 sheep or 12 horses eat the grass of a field in 20 days then in how many days will 5 sheep and 4 horses eat it ?

a) 30 30/31
b) 3 30/31
c) 31
d) 29

✔Answer

✔Solution

Correct Answer Is : 30 30/31

Solution Is : 16 sheep = 12 horses 5 sheep = 12/16 X 5 = 15/4 horses 5 sheep + 4 horses 15/4 + 4 = 31/4 horses By M?D? = M?D₂ 12 X 20 = 31/4 X D₂ => D₂ = 12 X 20 X 4/31 =960/31 = 30 30/31days.

SSC CGL Exam Quantitative Aptitude Study Material

Time And Work Problem

20 men can do a piece of work in 18 days, They worked together for 3 days, then 5 men joined them. In how many more days is the work completed?

Correct Answer Is : 12

Solution Is : Work done by 20 men in 3 days = 3/18 =1/6 part remaining work 1 - 1/6 = 5/6 part M? D?/ W? = M? D? / W? = 20 x18 / 1 = 25 x D? / 5/6 = 6 x 25 x D? = 5 x 20 x 18 = D? = 5 x 20 x 18 / 6 x 25 = 12 days

12 monkeys can eat 12 bananas in 12 minutes. In how many minutes can 4 monkeys eat 4 bananas?

Correct Answer Is : 12

Solution Is :

A can do 7/8 of work in 28 days, B can do 5/6 of the same work in 20 days. The number of days they will take to complete if they do it together is

Correct Answer Is : 13 5/7 days

Solution Is : A does 7/8 work in 28 days. A will complete the work in 28 * 8/7 = 32 days. B does 5/6 work in 20 days. B will complete the work in 20 * 6/5 = 24 days. (A + B) `s 1 day`s work =1/32 + 1/24 = 3+4/96 = 7/96 Required time, = 96/7 = 13 5/7 days

Seventy- five men are employed to lay down a railway line in 3 months. Due to certain emergency conditions, the work was to be finished in 18 days. How many more men should be employed to complete the work in the desired time ?

Correct Answer Is : 300

Solution Is : M?D? = M?D? => 75 * 90 = M? * 18 => M2= 75*90/18 = 375 Number of additional men 375 - 75 = 300

A and B can do a piece of work in 12 days, B and C in 15 days, C and A in 20 days. A alone can do the work in

Correct Answer Is : 30 days

Solution Is :

If 12 carpenters working 6 hours a day can make 460 chairs in 240 days, then the number of chair made by 18 carpenters in 36 days each working 8 hours a day is

Correct Answer Is : 138

Solution Is :

A can do a place of work in 25 days and B can do the same work in 30 days. They work together for 5 days, how much of work is left?

Correct Answer Is : 19/30

Solution Is : (A+B)s 1 days work =(1/25)+(1/30)=(6+5/150)=11/150 (A+B)s 5 days work =(5*11/150) =11/30 Remaining work =1-(11/30) =(30-11/30) =(19/30)

If 6 men can do a piece of work in 20 days and one man can do the work of two boys, then in how many days can 10 men and 5 boys do the same work ?

Correct Answer Is : None of these

Solution Is : 10men + 5boys = 25 boys 6men = 12 boys M1D1=M2D2 =>12 * 20 = 25 * D2 => D2 = 12 * 20/ 25 = 48 /5 = 9 3/5days

If a piece of work could be completed in 24 days by 98 men, how many men would it take to complete it in 21 days ?

Correct Answer Is : 112

Solution Is : M1 D1 = M2D2 =>98 * 24 =21 * M2 => M2 = 98 * 24/21 = 112

If 16 sheep or 12 horses eat the grass of a field in 20 days then in how many days will 5 sheep and 4 horses eat it ?

Correct Answer Is : 30 30/31

Solution Is : 16 sheep = 12 horses 5 sheep = 12/16 X 5 = 15/4 horses 5 sheep + 4 horses 15/4 + 4 = 31/4 horses By M?D? = M?D2 12 X 20 = 31/4 X D2 => D2 = 12 X 20 X 4/31 =960/31 = 30 30/31days.

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Solution Is : M?D? = M?D? => 75 * 90 = M? * 18 => M₂= 75*90/18 = 375 Number of additional men 375 - 75 = 300

Solution Is : 16 sheep = 12 horses 5 sheep = 12/16 X 5 = 15/4 horses 5 sheep + 4 horses 15/4 + 4 = 31/4 horses By M?D? = M?D₂ 12 X 20 = 31/4 X D₂ => D₂ = 12 X 20 X 4/31 =960/31 = 30 30/31days.