Quantitative Aptitude - Arithmetic Ability Questions

In ΔDEF measure of angle E is 90°. If cosD = 8/17, and DE = 16cm, then what is the length (in cm) of side DF?

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

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

If 31x + 31y = 403, then what is the average of x and y?

For which value of ‘g’ the linear graph of 6x + 12y +9 = 0 and 2x + gy + 3 =0 has infinite number of solutions?

What is the value of 1sin490-θ+1cos290-θ - 1 ?

What is the value of sin ­-300°?

Choose the word is least like the other words in the group

If the 8 digit number 136P5785 is divisible by 15, then find the least possible value of P?