Basic Mathematics Questions and Answers

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?

What is the ASA congruence rule of triangles, where A and S represents angle and side of triangle respectively?

Some students went on a field trip. At a speed of 6 km/h, they travelled by bikes for 2 hours; then at a speed of 2 km/h, they walked for another hour; then they took rest for an hour and had lunch for half an hour; then at a speed of 1 m/s, they walked for an hour to visit a garden; and finally at a speed 4 km/h, they returned home in 3 hours. Their average speed, in km/h, (rounded off to two places of decimal) is:

Find the value of sec θ − tan θ, if sec θ + tan θ = $$ \sqrt { 5} $$

If p = 8.15, q = 9.06 and r = −17.21, then the value of p³+q³+r³-3pqr