Quantitative Aptitude - Arithmetic Ability Questions

PQ and RS are common tangents to two circles intersecting at A and B. AB, when produced both sides, meet the tangents PQ and RS at X and Y, respectively. If AB = 3 cm, XY = 5 cm, then PQ (in cm) will be

The mean of marks secured by 35 students in division A of class X is 65, 45 students of division B is 61 and that of 70 students of division C is 59. What is the mean of marks of the students of three divisions of Class X?

The product of two numbers is 0.432. One of the numbers is 1.6. What is the other number?

The value of k, for which the quadratic equation 4x2 + 4√3x + k = 0 has equal roots is

sin(A+B) -­ sin(A-­B) is equal to

Simplify 81x2 - 49y29x + 7y

Expand : S + 23

If (1 + sinA)/cosA + cosA/(1 + sinA) = x, then the value of x is