Quiz-1

Let the required number of days be x.

Less cows, More days (Indirect Proportion)

Less bags, Less days (Direct Proportion)

Cows	1	:	40		:: 40 : x
Bags	40	:	1

Let the required number days be x.

Less spiders, More days (Indirect Proportion)

Less webs, Less days (Direct Proportion)

Spiders1:7Webs7:1}⋮⋮ 7:xSpiders1:7Webs7:1⋮⋮ 7:x

=> 1 * 7 * x = 7 * 1 * 7

=> x= 7

Let the provision last for x days
no.of men. no. of days food will last
500. 24
500+300=800. x
clearly more of men less no.of days food will long
so it is the case of inverse variation.
therefore ratio of no. of men.=inverse ratio of no. of days
500:800 =x:24
500×24=800×x
500×24÷800=x
x=15
15 days food will last

 

Because, less number of basket balls -----> cost will be less
Given : 75 basketballs cost $1,143.75
Cost of one basket ball = 1143.75 / 75 = 15.25
Then, cost of 26 basket balls = 15.25 x 26 = 396.50
Hence, the cost of 26 basket balls is $ 396.50

Miguel raised $2,372.50 in 36.5 weeks

Amount raised in one week is

=  2372.5 / 36.5

=  $65

Amount raised in 20 weeks is

=  65 ⋅ 20

=  $1300

Hence, the money raised in 20 weeks is $1300

Let x be the required length of the wall.

More men means more work will be done. (Therefore, Amount of work is directly proportional to Number of men)

Less days means less length built. (Therefore, number of days of work is directly proportional to length of wall built)

Men: 30   40  : 56 meters

Days: 5     3    : x meters

Therefore, we have:

Therefore, we have:

In a dairy farm 20 cows eat 20 bags of husk in 20 days. We have to calculate the days in which one cow eat one bag of husk.
Let number of days be 'x' .
Solution:
20 cows : 20 bags : 20 days = 1 cow : 1 bag : x days
20 : 20 : 20 = 1 : 1 : x
20 / 20 : 20 = 1 / 1 : x
1 : 20 = 1 : x
1 / 20 = 1 / x
x = 20
which shows that 1 cows will eat 1 bag of husk in 20 days.

 

n order to solve this sum we have to apply unitary method.

The formula is: [(no.of men)*(no.of days)*(no.of hours)]/(work).

Acc to the question, m1 = 4

w1 = 40.

d1 = 30.

m2 = 18.

d2 = 12.

w2 = ?

From the formula we can write, (4 * 30) / (40) = (18 * 12) / (w2)

or, w2 = (18 * 12 * 40) / (4 * 30)

or, w2 = 72.

Therefore, 18 men can reap 72 acres of land in 12 days.

 

Answer sheets are work here. So
M1*D1*H1*W2 = M2*D2*H2*W1
9*12*5*2 = 4*30*H2*1
Solve, H2 = 9