Quantitative Aptitude - Arithmetic Ability Questions

Triangle ABC as shown in figure has line XY parallel to the BC and the line BY is the bisector of angle XYC. Which of the following option is correct?

Δ DEF is right angled at E. If m∠D = 30°, what is the length of DE (in cm), if EF = 6√3 cm?

Jalal, Amit and Feroz enter into partnership. Jalal invests 4 times as much as Amit and Amit invests three-fourth of what Feroz invests. At the end of the financial year, the total profit earned is Rs. 19,000. Find the share for Jalal.

Simplify the equation 0.733+0.2730.732+0.272-0.73×0.27

If 7x - (3/2) * (4x - 9) = 6.5, then the value of x is?

Two numbers are 90% and 75% lesser than a third number. By what % should the first number be increased so that it becomes equal to the second number?

In the given figure, PQR is a triangle and quadrilateral ABCD is inscribed in it. QD = 2 cm, QC = 5 cm, CR = 3 cm, BR = 4 cm, PB = 6 cm, PA = 5 cm and AD = 3 cm. What is the area in sq.cm of the quadrilateral ABCD?

If a3+ b3 = 19 and a + b = 1, then what is the value of ab?