QUICK TEST SSC CGL Tier II MATHS
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1. If x men can do a piece of work in x days, then the number of days in which
y men can do the same work is
A) xy days
B)
y2
x
days
C)
x2
y
days
D) x2y days
2. Three persons undertake to complete a piece of work for `1,200. The first
person can complete the work in 8 days, second person in 12 days and
third person in 16 days. They complete the work with the help of a fourth
person in 3 days. What does the fourth person get ?
A) `180
B) `200
C) `225
D) `250
3. Two workers A and B working together completed a job in 5 days. If A
1
worked twice as efficiently as he actually did and B worked 3 as efficiently
as he actually did, the work would have been completed in 3 days. To
complete the job alone, A would require
A)
5
1
5
days
B)
6
1
days
4
C)
7
1
days
2
D)
8
3
days
4
4. A can do a piece of work in 20 days and B in 30 days. They work together
for 7 days and then both leave the work. Then C alone finishes the remaining
work in 10 days. In how many days will C finish the full work?
A) 25 days B) 30 days C) 24 days D) 20 days
5. Sunil completes a work in 4 days, whereas Dinesh completes the work in
6 days. Ramesh works
complete the work in
A)
1
5
12
days B)
1
5
7
days
1
1
2
times as fast as Sunil. The three together can
C)
1
3
8
days
D)
1
5
19
days
6. A farmer can plough a field working 6 hours per day in 18 days. The worker
has to work how many hours per day to finish the same work in 12 days?
A) 7
B) 9
C) 11
D) 13
7. Two successive discounts of a% and b% on the marked price of an article
are equivalent to the single discount of
A) (a + b)% B)
ab 

a  b 
%
100 

C)
a b
%
100
D)
a b
%
2
8. A tradesman marks his goods 30% more than the cost price. If he allows a
discount of
A)
23
3
%
4
6
1
%
4
then his gain per cent is
B) 22%
C)
7
21 %
8
D) 30%
9. A shopkeeper purchased a chair marked at `600 at two successive discounts
of 15% and 20% respectively. He spent `28 on transportation and sold the
chair for `545. His gain per cent was
A) 25%
B) 30%
C) 35%
D) 20%
10.The marked price of a piano was `15,000. At the time of sale, there were
successive discounts of 20%, 10% and 10% respectively on it. The sale
price was
A) ` 9,720 B) `9,750 C) `9,760 D) `9,780
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Answers Witn Explanations:
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1. C;Quicker Method :
M 1 D 1 = M 2D 2
 x. x = y. D2
 D2 =
x2
y
days
2. C;Let the fourth person complete the work in x days.
Now, according to the question,
3 3
3 3


 1
8 12 16 x

1 1 1 1
1 16  6  4  3
1
  



x 3 8 12 16
48
16
 x = 16
1
1
1
1
Ratio of wages  : : :
=6:4:3:3
8 12 16 16
Sum of ratios = 6 + 4 + 3 + 3
 Fourth person’s share
3
16
×1200 = Rs 225 = 16
3. B;Let A alone do the work in x days and B alone do the work in y days.
Now according to the question,

1 1 1
 
x y 5
.............. (i)
Again,
2 1
1


x 3y 3
............ (ii)
By equation (ii) × 3 – (i), we have
6 1 1 1
1
    1
x y x y
5
6 1 4
6 1 4
  


x x 5
x
5
25
1
x 
6
days
4
4
4. C;Work done by A and B in 7 days
7
7
21  14 35
7




20 30
60
60 12
7
5
Remaining work = 1  12  12
12
 Time taken by C = 5 ×10

= 24 days
2
8
5. D;Time taken by Ramesh = 4 × 3  3 days
Work done by all the three in 1 day
1 1 3 6  4  9 19
  

4 6 8
24
24
24
5
 Required time  19  119

days
6. B;Quicker Method:
D1T1 = D2T2
 18 × 6 = 12 × T2
18  6
 T2 = 12 = 9 hours
7. B;Let the Marked price of the article be Rs 100.
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First discount = Rs a.
Second discount
b
ab
b
100
100
ab 

 a  b 
%
100


 100  a 
 Total discount %
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8. C;Let the CP of article be Rs 100.
 Marked price = Rs 130
 Selling price
7

121 
8

7

 7
 Gain% = 121 8  100   21 8 %


600  15  80

A;CP of chair   600  100   100
510  80

= Rs 408
100
= Rs
9.
25 

130  100 

4  130  375



100
400
975
8
= Rs
Actual CP = Rs (408 + 28) = Rs 436
545  436
Gain per cent  436
× 100 = 25%
10. A;Single equivalent discount for 20% and 10%
20  10 

  20  10 
  28%
100 

Single equivalent discount for 28% and 10%
28  10 

  28  10 
  35.2%
100 

15000  (100  35.2)
 SP of Piano 
100
= Rs 9720
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