Quantitative Aptitude - Arithmetic Ability Questions

The mid points of AB and AC of the Δ ABC are P and Q respectively. If PQ = 6 cm, then the side BC is

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

The value of tan 315° cot (­ -405° ) is equal to

If -3/2 + (2/3)(3x + 9) = x/2, then what is the value of x?

What is the equation of the line whose y-intercept is -3 and makes an angle of 45° with the positive x-axis?

The selling price of an article is 8/5th of its cost price. Then the gain percentage is

In the given questions, two equations numbered I and II are given. Solve both the equation and mark the appropriate answer.

$$\begin{gathered} I. x2–5x –24 = 0 \\ II. 2y2+ 19y + 35 = 0 \end{gathered}$$

The inradius of a equilateral triangle is 10 cm. What is the circum-radius (in cm) of the same triangle?