NTS Educators Jobs ESE (Science) Online Test

NTS Educators ESE (Science) Jobs Test

Sr. #	Questions	Answers Choice
1	If the vector 2i+4j-2k and 2i +6j+xk are perpendicular then x-7	4 8 14 7
2	If the angle between two vectors with magnitude 8 and 2 is 60° then their scalar product is	12 8 16 1
3	The direction cosines of y-axis are	1,0,0 0,1,0 0,0,1 1,1,1
4	If i,m,n are the direction cosines of a vector O̅P̅ then	I<sup>2</sup> + m<sup>2</sup> + n<sup>2</sup> =0 I<sup>2</sup> - m<sup>2</sup> + n<sup>2</sup> =1 I<sup>2</sup> + m<sup>2</sup> + n<sup>2</sup> =1 I<sup>2</sup> + m<sup>2</sup> - n<sup>2</sup> =0
5	The magnitude of a vector can never be	Zero Negative Positive Absolute
6	Unit vector in the positive direction of x-axis is	î ĵ k̂ All
7	The two different parts of the hyperbola are called is	Vertices Directrices Nappes Branches
8	The line through the center and perpendicular to the transverse axis is called the	Major axis Minor axis Focal axis Conjugate axis
9	The vertices of the ellipse x² + 4y² = 16 are	(±,4,0) (0,±,4) (± 2,0) (0,± 2)
10	The end points of the major axis of the ellipse are called its	foci Vertices Co-vertices eccentricity
11	The axis of the parabola y² = 4ax is	x =0 Y =0 X = y X = -y
12	The conic is a parabola if	e <1 e > 1 e = 1 e = 0
13	The perpendicular bisector of any chord of a circle	Passes through the center of the circle Does not pass through the center of the circle May or may not pass through the center of the circle None of these
14	The equation of the normal to the circle x² + 2² = 25 at (4,3) is	3x -4y =0 3x -4y= 5 4x + 3y=5 4x - 3y =25
15	The circle (x -2)² + (y + 3)² =4 is not concentric with the circle	(x -2)<sup>2</sup> + (y + 3)<sup>2</sup> =9 (x +2)<sup>2</sup> + (y - 3)<sup>2</sup> =4 (x -2)<sup>2</sup> + (y + 3)<sup>2</sup> =8 (x -2)<sup>2</sup> + (y + 3)<sup>2</sup> =5
16	The radius of the circle (x- 1)² + (y + 3)² =64 is	8 2√2 4 64
17	The equation of the circle with center origin and radius 2√2 is	x<sup>2</sup> + y<sup>2</sup> = 2√2 x<sup>2</sup> + y<sup>2</sup> = 8 x<sup>2</sup> - y<sup>2</sup> = 2√2 x<sup>2</sup> - y<sup>2</sup> = 8
18	If a cone is cut by a plane perpendicular to the axis of the cone then the section is a	Parabola Circle Hyperbola Ellipse
19	8 > t then	(s -t) <sup>2</sup>>(t -8)<sup>2</sup> (s -t) <sup>2</sup><(t -8)<sup>2</sup> (s -t) <sup>2</sup>=(t -8)<sup>2</sup> None
20	Ab > 0 and a > 0 then	a > b a < b a = b None
21	r + 3 > 5 then which is true	r + 2 > 4 r + 2 < 4 r + 2 + 4 None
22	x is a member of the set {-1,0,3,5} y is a member of the set {-2,1,2,4} which is possible?	x- y =-6 x -y < -6 x -y > 6 None
23	The total cost of 2 apples and 3 oranges is $1.70,which of the following is true	The cost of one apple The cost of one orange Both have equal cost per item Cost of each single item can not be determined
24	If p and r are integers P = 0, and p ≠ -r, which of the following must be true?	p < r p > r p + r < 0 p - r < -0
25	If -1 < x < 0, which of the following statement must be true?	x < x<sup>2</sup> < x<sup>2</sup> x < x<sup>3</sup> < x<sup>2</sup> x<sup>2</sup> < x<sup>3</sup> < x x<sup>2 </sup>< x < x<sup>3</sup>
26	For which of the following ordered pairs (s,t) is s + t> and s- t < -3?	(3,2) (2,3) (1,8) (0,3)
27	Which is in the solution set of 4x - 3y <2	(3,0) (4,1) (1,3) None
28	A point of a solution region where two of its boundary lines intersect is called	Boundary Inequality Half plane Vertex
29	Which is not a half plane	ax + by < c ax + by > c Both A and B None
30	If 4 - x > 5, then	x > 1 x > -1 x < 1 x < -1

Download This Set

NTS Educators ESE (Science) Jobs Test With Answers

NTS Educators ESE (Science) Jobs Test