Cognizant Inverse Quiz

1 x 40 x x = 40 x 1 x 40

1 x 7 x x = 7 x 1 x 7

Given that fort had provision for 500 persons for 27
days
Hence, after 3 days, the remaining food is sufficient for 500 persons for 24
days

Remaining persons after 3 days = 500 + 300 = 800
Assume that after 10 days,the remaining food is sufficient for 800 persons for x
days

More men, Less days (Indirect Proportion)
⇒Men500:800}::x:24
⇒500×24=800x⇒5×24=8x⇒x=5×3=15

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

30 × 5 × x = 40 × 3 × 56

1 × 20 × x = 20 × 1 × 20

N1 * D1 / W1 = N2 * D2 / W2

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