The common region represented by the following in equalities

L1 = X1 + X2≤ 4; L2 = 2X1 + X2≥ 6 

A sum of Rs. 53 is divided in such a way that A gets Rs. 7 more than what b
gets and b gets Rs. 8 more than what C gets. The ratio of their share is. …………

The ratio of numbers of girls and boys participating in sports of a school is
4:5. If the number of girls is 212, determine the number of boys participating
in the sports.

6x + y ≥ 18, x + 4y ≥ 12, 2x + y ≥ 10 on solving the inequalities; we get 

Income ratio of Ramesh and Suresh is 5:6. Their spending ratio is 7:9, Ramesh
saves 4000 and Suresh saves 3000. Income and spending respectively of Ramesh and Suresh are

The third proportional to x2-y2, x - y is?

If the ratio of present ages of jeet and jay is 5:7 and after 6 years the ratio will be 3:4, what is the present age of jay?

What is the fourth proportional to the numbers 2, 5, 8?

If A + B = [ 𝟏 𝟎 𝟏 𝟏 ] and A – 2B =[ −𝟏 𝟏 𝟎 −𝟏 ], then A = 

A number consist of three digits of which the middle one is zero and the sum
of the other digit is 9. The number formed by interchanging the first and third
digit is more than the original number by 297. Find the number:

The cost function of production is given by C(x) = 𝒙 𝟑÷ 𝟐 - 15x2 + 36x where x denotes thee number of items produced. The level of output for which marginal cost is minimum and the level of output for which the average cost is minimum are given by, respectively

∫01 𝑒 𝑥 ( 1 ÷ 𝑥 − 1 ÷ 𝑥 2 )dx =

The solution of the following system of linear equations 2x-5y+4=0 and 2x+y-8 = 0 will be

Show that (𝒙𝒂 / 𝒙𝒃)1/ab × (𝒙𝒃 / 𝒙𝒄)1/bc ×(𝒙𝒄 / 𝒙𝒂)1/ca reduce to:

𝟏 / 𝐥𝐨𝐠𝐚/𝐛(𝐱) + 𝟏 / 𝐥𝐨𝐠𝐛/𝐜(𝐱) + 𝟏 / 𝐥𝐨𝐠𝐜/𝐚(𝐱) is equal to:

Division of Rs. 324 between x and y is in the ratio 11:7. X and y would get
Rupees:

If 𝒂 / 𝟒 = 𝒃 / 𝟓 then: