Quantitative Aptitude - Arithmetic Ability Questions

What is the equation of the line passing through the point (2,-3) and making an angle of -45°with the positive X-axis?

Out of two numbers, 30% of the smaller number is equal to 18% of the larger number. If the sum of the two numbers is 840, then what is the value of the larger number?

If a.sin 45°.cos 45°.tan60° = tan 245° ­ cos60° then find the value of a ?

Select the odd word/letters/number/number pair from the given alternatives.

The length of one side and the diagonal of a rectangle are 7 cm and 25 cm respectively. Find its area (in cm²)

$$\begin{gathered} If (x – 2)2 + (y + 3)2 + (z – 15)2 = 0, then what is the value of \\ x + y + z – 5? \end{gathered}$$

The average of 17 results is 60. If the average of first 9 results is 57 and that of the last 9 results is 65, then what will be the value of 9th result?

In triangle ABC, ∠ABC = 15 deg. D is a point on BC such that AD = BD. What is the measure of ∠ADC (in degrees)?