Ashok Gupta and Rajat Jain Solutions for Chapter: Practice Set, Exercise 31: Quantitative Aptitude

${\sin }^2\theta -3\sin \theta +2=0$ will be true if:

If ${\left(x-3\right)}^2+{\left(\text{y}-5\right)}^2+{\left(\text{z}-4\right)}^2=0$ then the value of $\frac{{\text{x}}^2}{9}+\frac{{\text{y}}^2}{25}+\frac{{\text{z}}^2}{16}$ is

Find the value of $\frac{4+3\sqrt{3}}{7+4\sqrt{3}}$.

What number must be added to the expression $16a^2-12a$ to make it a perfect square?

The sum of three altitudes of a triangle is:

 The length of the tangent drawn to circle of radius $4$$\mathrm{cm}$ from a point $5$$\mathrm{cm}$ away from the centre of the circle is:

The height of an equilateral triangle is $15$$cm.$ The area of the triangle is:

Study the pie chart and answer the question given below.

Total cost $=₹96000$

The difference between the cost of material and direct expenses is: