Quantitative Aptitude - Arithmetic Ability Questions

In each of these questions, two equations (I) and (II) are given.

$$\begin{gathered} I. 2x2+19x+42 = 0 \\ II. 4y2+43y+30 = 0 \end{gathered}$$

Consider the following for real numbers α, β, γ and δ ?

1) sec α = 1/4

2) tan β = 20

3) cosec γ = 1/2

4) cos δ = 2

How many of the above statements are not possible?

In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 130 marks, the no of questions he attempts correctly is :

Directions: What value should come in place of question mark (?) in the following question?

150% of 460+24% of 650=?

Given w = -2, x = 3, y = 0 & z = -1/2. Find the value of 2(w2 + x2 + y2).

The volume of a hemisphere is 89.83 cm³. Find its diameter (in cm).

Directions: What value should come in place of question mark (?) in the following question?

69÷3×0.85+24.5-13.8=?

Find the odd man out of the following number series?

720, 732, 708, 742, 696