Quantitative Aptitude - Arithmetic Ability Questions

Nine years later, age of B will be equal to the present age of A. Sum of A's age 3 years later and B's age 4 years ago is 76. If C is half of the present age of B, then what will be C's age (in years) after 10 years?

If x/y = 4/9, then what is the value of (7x2 – 19xy + 11y2)/y2 ?

Let A(O,-1), B(0,3) and C(2,1) be three points. Let   △1 be the area of the triangle ABC and △2 be the area of the triangle formed by the mid points of the sides of the triangle whose vertices are A, B and C such that △1=1 ,△2=x Find the value of x .

Three consecutive angles of a cycle quadrilateral are in the ratio of 1 : 4 : 5 . The measure of fourth angle is

If 1/2 is added to a number and the sum is multipled by 3, the result is 21. Then the number is

If 3x - 10 = -(2x + 5), then the numerical value of (x - 4)3 is

Select the odd word/letters/number/number pair from the given alternatives.

If cot A = n/(n + 1) and cot B = 1/(2n + 1), then what is the value of cot (A + B)?