General Aptitude Questions for Competitive Exams

if $$a+{1\over a}=5$$, then what is the value of $$a^3+{1\over a^3}$$

Raju, Shobha and Mohan can do a work in 15 days, 20 days and 25 days respectively. In how many days, will the work be finished, if they do it on alternate days?

What is the value of a²+b²+c²-2ab-2bc+2ca?

△ABC is right-angle triangle at B and tan A = $$3\over 4$$, then sin A + sin B + sin C will be equal to:

if $${x\over 9}+{8\over x}=1$$, then the value of x³ is :

$${1+sinθ}\over cosθ $$ is equal to which of the following (where $$θ ≠ {π\over2} $$

If two circles of radii 18 cm and 8 cm touch externally, then the length of a direct common tangent is:

A person deposited ₹15,600 in a fixed deposit at 10% per annum simple interest. After every second year he adds his interest earned to the principal. The interest at the end of 4 years is:

A watch is sold at a profit of 25%. Had it been sold for Rs.120 less then, there would have been a less then of 15%. What is the cost price in rupees?

In a proportion, the 1^st , 2^nd and 4^th  terms are 51, 68 and 108, respectively. What is the 3^rd term?