Question Bank
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Solve for x: 1/(x+1) + 1/(x+2) = 2/(x+10). (Though simplified it involves x^2, certain forms at SEE level are treated via logic).
In a triangle ABC, angle C = 3 * angle B = 2 * (angle A + angle B). Find angle B.
Find the values of x and y that satisfy: 4x + 6/y = 15 and 6x - 8/y = 14.
If the length of a rectangle is reduced by 5 units and breadth is increased by 3 units, the area is reduced by 9 sq units. If we increase length by 3 and breadth by 2, area increases by 67. Find length.
If x + y = a + b and ax - by = a^2 - b^2, then y is:
Solve for x: 1/2(x+1) + 1/3(x-1) = 5/12(x-2). (Checking SEE patterns for hard linear).
A two-digit number is 4 times the sum of its digits. If 18 is added to the number, the digits are reversed. Find the number.
If 0.4x + 0.3y = 1.7 and 0.7x - 0.2y = 0.8, find x.
Solve for x: x/a + y/b = 2 and ax - by = a^2 - b^2.
The ratio of incomes of two persons is 9:7 and the ratio of their expenditures is 4:3. If each saves Rs 2000, find the income of the first person.
A number consists of two digits. When it is divided by the sum of its digits, the quotient is 6. If 9 is subtracted from the number, the digits are reversed. Find the number.