Quantitative Aptitude for Railway and SSC Exam with Explanation

1) Price of wine of $60 per liter. If Samuel is adding water with and selling the mixture for $40 per liter. Profit margin remains same. What is the ratio of water and wine in the mixture.
A) 3:1
B) 2:1
C) 1:2
D) 1:3
E) none


2) A takes 10 days to complete a job. B takes 20 days to complete the same job.In how many days they will complete the job if they work together ?
A) 5.55
B) 6.66
C) 7.77
D) 4.44
E) none


3) The ratio of two numbers is 3 : 4. The L.C. M of the numbers is 180. What are those numbers?
A) 60,80
B) 45,60
C) 15,20
D) 30, 40
E) none


4) The ratio of two numbers is 5:7. If you subtract "3" from those numbers, the ratio is 2:3. What are those numbers?
A) 15, 21
B) 10,14
C) 50,70
D) 25,35
E) none


5) 32 men can do a piece of work in 15 days working for 6 hours a day. In how many days will 40 men can finish it if they work for 8 hours a day?
A) 8
B) 9
C) 7
D) 10
E) none


6) A man engaged 10 laborers to make 320 toys in 5 days. After 3 days he found that only 120 toys were made. How many additional men should he engage to finish the work in time?
A) 10
B) 20
C) 15
D) 25
E) none


7) A speed of a boat in still water is 10 km/hr. If it can travel 26km downstream and 14km upstream in the same time , the speed of the stream is ?
A) 2
B) 4
C) 3
D) 5
E) none


8) A and B enter into a partnership by making investments in the ratio 1:2. 5% of the total profit goes to charity. If B's share is Rs. 760, then total profit is?
A) 1000
B) 1200
C) 2000
D) 2400
E) none

9) The percentage profit earned by selling an item for Rs. 1920 is equal to the percentage loss incurred by selling the same item for Rs.  1280. At what price should the item be sold to make 25%
profit?
A) 1000
B) 3000
C) 2000
D) 5000
E) none


10) If a material is sold for Rs.34.80, there is a loss of 25%. Find out the cost price of the material?
A) 42.40
B) 40.46
C) 46.40
D) 44.60
E) none


Explanation....

1) B
60             00
         40
40      :         20
=2:1



2) B
1/10 +1/20=3/20=6.66



3) B
3x & 4x =lcm 12x

12x=180
X=15
Numbers are
15×3=45 &
15×4=60



4) A

5x-3
--------=2/3
7x-3

X=3
5x=15 & 7x=21



5) B
32×15×6=40×8×x
X=9


6)C

10×3×200
------------------ =25
   2×120

So extra added=25-10=15

7) C

(26/10+x)= (14/10-x)

X=3kmph



8)B
5% goes to charity
Rem 95%

B got = 95×2/3%

95×2/3%=760
100%= 1200



9) C

item CP
=(1920+1280)÷2=1600

Now 1600×125%=2000



10) C

100-25%=34.80
75%=34.80
100%=46.40


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