Quantitative Aptitude - Arithmetic Ability Questions

The difference between the selling prices of an article sold at 4% and 3% profits is Rs.3 The cost price of the article is :

If 1/(tanA + cotA) = x, then value of x is

For what value of k, the expression x6– 18x3 + k will be a perfect square?

ABCD is square and CDE is an equilateral triangle outside the square. What is the value (in degrees) of ∠BEC?

In the given figure, PQRS is a quadrilateral. If QR = 18 cmand PS = 9 cm,then what is the area (in sq. cm) of quadrilateral PQRS?

Among three numbers, the first is twice the second and thrice the third. If the average of three numbers is 506, then what is the difference between the first and the third number?

In the given figure, MNOP is a parallelogram. PM is extended to Z. OZ intersects MN and PN at Y and X respectively. If OX = 27 cm and XY = 18 cm, then what is the length (in cm) of YZ?

Raj sells a machine for Rs 51 lakhs at a loss. Had he sold it for Rs 60 lakh, his gain would have been 8 times the earlier loss. What is the cost price of the machine?