Quiz -1

35 days worked together + 21 days abhimayu
worked = finished the work
35(1/50) + 21(x) = 1
X=70 days

Option B

Explanation

Volume of salt in mixture = 70% salt × volume of mixture litre and Volume of water in mixture = 40 - 28 = 12 liter

To decrease the salt percent by 40% Let, x water is added.

Then volume of mixture litre

We know that, Volume of salt = 28 litres  

Therefore,  Salt% in a new mixture. But Now Salt percent in a new mixture decreases to 40%

200
The ratio of shares of groups of men, women and boys = 5 :3 :2
So share of boys is = (2/10)*5000 = 1000
Share of a boy= 1000/5 = 200

Volume of a cube = 6a²
Volume of 3 cubes = 18a²
Volume of three cubes placing adjacent each other =
6a²+4a²+4a²= 14a²
Ratio= 16/18 = 7:9

let salary of raju is P
Then ramu’s salary is 3P
After 2 months raju’s salary becomes P(1+20/100)2 -- (1)
After 2 months ramu’s salary becomes 3P(1+20/100)2 --(2)
Ratio= (1)/(2) = 16:27

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10 * x + 11 * y = (x+y) * 10.6
( Assume x & y quantity in vessels 1 & 2 respectively )
Solve for x/y = 2:3

a+b+c=98 à (1)
a/b=2/3 à a=(2/3)b à (2)
b/c=5/8 à c= (8/5)b à (3)
Substitute equations (2) and (3) in Equation(1)
b=30

Quantity of whisky in 66 litres mixture is : (4/11)*66 = 24
Similarly quantity of water in 66 litres mixture is : (7/11)*66= 42
Let’s say adding x litres of whisky and water added to make
mixture ratio as 2:3
Then (24+x)/(42+x)= 2:3
X=12

Using cross product rule, we get,

(10/3).(5/4)  =  x.(5/2)

25/6  =  5x/2

(25/6).(2/5)  =  x

5/3  =  x

x  =  5/3