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1.
Prakash can do a work in 10 days and Priya can do the same work in 15 days. Prakash started the work and left after 4 days. How many days will priya take in completing the remaining work?
  • A.
    9 days
  • C.
    8 days
  • B.
    6 days
  • D.
    12 days
  • Answer & Explanation
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Answer : [A]
Explanation :
Prakash’s 4 days work =
4
10
=
2
5
 
Remaining work = 1 -
2
5
=
3
5
 
Priya’s 1 day work =
1
15
 
 
Time taken to complete
3
5
 of work =
3
5
 x 15 = 9 days    
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2.
If 40 men earn Rs. 2000 in eight days. How many men will earn Rs. 200 in two days
  • A.
    20
  • C.
    14
  • B.
    16
  • D.
    10
  • Answer & Explanation
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Answer : [B]
Explanation :
Wages   Days   Men
2000 ↑ 8 | 40
200 | 2 ↓ x
x =
200 x 8 x 40
2000 x 2
 = 16  
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3.
A and B are assigned a work to complete for Rs. 37.50. A can do it in 20 days, while B in 30 days. If they complete the work in 8 days with the help of C, then how much would C get?
  • A.
    Rs. 12.50
  • C.
    Rs . 14
  • B.
    Rs. 13
  • D.
    Rs. 15
  • Answer & Explanation
  • Report
Answer : [A]
Explanation :
A's 1 day work =
1
20
 and B's 1 day work =
1
30
   
(A + B + C)'s 1 day work =
1
8
   
C's 1 day work =
1
8
-
1
20
-
1
30

=
15 - 6 -4
120
=
5
120
=
1
24
   
Ratio of their work =
1
20
:
1
30
:
1
24

 = 6 : 4 : 5

   
Share of C =
5
15
 x 37.50 = Rs. 12.50  
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4.
A and B can do a work in 12 days while B and C can do it in 6 2/3 days. After A had worked on it for 3 days and B for 4 days. C finished the work in 7 days. In how many days can A alone do the work?
  • A.
    30
  • C.
    10
  • B.
    35
  • D.
    20
  • Answer & Explanation
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Answer : [A]
Explanation :
Let the daily work of A, B an C be x, y, z respectively.
Then, x + y =
1
12
 ------------- (1) => y =
1
12
 - x
y + z =
3
20
 ------------- (2) => z =
3
20
 - y =
3
20
-
1
12
 + x  
=
4
60
 + x =
1
15
 + x => 3x - 4y + 7z = 1 ------------- (3)  
Substituting (1) and (2) in (3) we get
3x + 4  
1
12
 - x    + 7  
1
15
 + x    = 1 => 3x +
1
3
 - 4x +
7
15
 + 7x = 1
6x =
15 - 5 - 7
15
=
3
15
 
 
x =
3
15 x 6
=
1
30
 
 
A alone can complete the work in 30 days.  
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5.
Three persons A, B, C can do a piece of work in 15 days, 6 days and 10 days respectively. In how many days will all; the three finish three times the similar work?
  • A.
    3 days
  • C.
    6 days
  • B.
    9 days
  • D.
    4 days
  • Answer & Explanation
  • Report
Answer : [B]
Explanation :
(A + B + C)'s 1 day work =
1
15
+
1
6
+
1
10
=
2 + 5 + 3
30
=
10
3
=
1
3
 
 
The work is completed in 3 days.  
3 times the work is completed in 3 x 3 = 9 days
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