Quantitative Aptitude - Arithmetic Ability Questions

Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 6 cm, then what is the area (in sq.cm) of an equilateral triangle whose side is equal to the bigger diagonal of the rhombus?

In Δ ABC , if ∠BAC = 90° and AB = AC , then ∠ABC is

Yaman sold an item at a loss of 10%. If he had sold it for Rs.57 more, he would have made a profit of 20%. What should be the selling price of the item to make a profit of 30%?

In the following question, select the related number from the given alternatives.
 
47 : 57 : : 93 : ?

When a number is divided by 63 the remainder is obtained as 26. What will be the remainder when the number is divided by 3?

A discount of 45% on an article is equal to the discount of 65% on other article. What is the respective ratio of the marked price of both the articles?

Find equation of the perpendicular bisector of segment joining the points (2,­6) and (4,0)?

Find  two  natural  numbers  whose  sum  is  85 andtheleast common multiple is 102.