Quantitative Aptitude - Arithmetic Ability Questions

A fraction is greater than its reciprocal by (72)/(77). What is the fraction?

After a discount of 34% an article is sold for Rs. 3168. What is the marked price (in Rs) of the article?

Sachin lent out Rs 60000 in two parts, first at 4% and the second at 10% interest. The yearly average interest comes out to be 6.4%. What are the amounts (in Rs) that were lent at 4% and 10% respectively?

If 11-13xx + 11-13yy + 11-13zz = 5 then what is the value of 1x + 1y + 1z = ?

If 3 tan θ = cot θ where 0 < θ < π/2, then what is the value of θ ?

Find two numbers such that their mean proportion is 16 and third proportion is 1024.

Let O be the orthocentre of the triangle ABC. If ∠BOC = 150°, Then ∠BAC is

ΔXYZ is similar to ΔPQR. If ratio of perimeters of ΔXYZ : ΔPQR is 3:2 and if PQ = 6 cm then what is the length of XY (in cm)?