Quantitative Aptitude - Arithmetic Ability Questions

If x - 1/x = 1 then what is the value of 1x1x-1-1x+1+1x2+1-1x2-1?

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

ABC is a triangle. AB = 5 cm, AC = √41 cm and BC = 8 cm. AD is perpendicular to BC. What is the area (in cm2) of triangle ABD?

In the given figure, two identical circles of radius 4 cm touch each other. A and B are the centres of the two circles. If RQ is a tangent to the circle, then what is the length (in cm) of RQ?

1 packet of biscuits costs Rs 16 but a pack of 4 of the same packet of biscuits costs Rs 56. What is the effective discount (in %) on the pack?

If on a Sale there is 40% discount on the marked price of Rs 1000, but the sale is done at Rs 510 only then what additional discount (in %) did the customer get?

A vendor buys some lemons at the rate of 11 for Rs 10 and sells at the rate of 4 for Rs 5. What will be the result?

A dealer sold an article at 6% loss. Had he sold it for Rs. 64 more, he would have made a profit of 10%. Then the cost of the article is