NTS Educators ESE (Science) Jobs Test With Answers

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NTS Educators ESE (Science) Jobs Test

Sr. # Questions Answers Choice
1 In the figure PS is perpendicular to QR, if PQ = PR 26 and P8 = 24,then QR= 10 20 40 26
2 120° degrees are equal to how many radians? π/3 radians 2π/3 radians π/4 radians π/2 radians
3 The principal value of sin-1 [√3/2] is π/3 -π/3 2π/3 5π/3
4 If Sin-1 x + cos-1 y = π, then x and y are Associative angles Complementary angles Reflex angles Supplementary angles
5 Cos-1 (-x) =_______. π +cos<sup>-1</sup>&nbsp;x π -sin<sup>-1</sup>&nbsp;x π +sin<sup>-1</sup>&nbsp;x π -cos<sup>-1</sup>&nbsp;x
6 Which of the following is not defined? Arcsin 1/9 ArcCos (-4/3) Arctan 11/12 Arccot (-4)
7 AreCot √3 =? π/2 π 2π π/6
8 Sin-1 (√2/2)=? π/2 π/3 3π/4 2π
9 Sin-1 √3/2 =? 2π/3 π/2 π/3 v/5
10 Tan (π + Tan-1 x) =? Tan x X -x Cot<sup>-1</sup> x
11 Sin-1 x =? π/2- Sin<sup>-1</sup> x π/2 -Cos<sup>-1</sup> x -Sin<sup>-1</sup> x -Cos<sup>-1</sup> x
12 Sin-1 (-x) =? Sin<sup>-1</sup> x -Sin<sup>-1</sup> x Cos<sup>-1</sup> x -Cos<sup>-1</sup> x
13 Period of Sin 2x = π 4π 2nπ 2π
14 What is the period of Cot x? 2π π π/2 4π
15 What is the domain of y = Cot-1 x? Set of irrational numbers only Set of all real numbers Set of integers only Set of complex numbers only
16 What is the domain of y= Sin-1 x? -1&nbsp;≤ x&nbsp;≤1 1&nbsp;≤ x&nbsp;≤ 1 0&nbsp;≤ x&nbsp;≤&nbsp;π -π/2&nbsp;≤ x&nbsp;≤ π/2
17 If A = (3,8) and B = (5,6) then the distance between A and B is
 2√2 2 1 6
18 Sin x + Cos x=1 x= π π/2 π/3 π/4
19 If Sin θ =Cosθ then θ= 30° 45° 60° 90°
20 Cos 315° = 0.707 0.5 1 0
21 Period is Tan x/5 is 5π 4π 2π π/5
22 Sin(a + b) + Sin(a- b) = Sin a Cos b Sin a Sin b Sin a + Cos b Sin a - 2Cos b
23 The value of Cos (1/2 Cos-1 1/2) is equal to √3/2 -3/4 1/16 1/4
24 If 2 Sin x Cos 2 x = Sin x then? X = nπ+&nbsp;π/6 X = nπ +π/3 X = nπ +1 X = nπ +&nbsp;π/2
25 If Cosα = 3/5, Cosβ = 5/13, then Cos(α +β) =33/65 Sin(α +β) =56/65 sin<sup>2</sup>(α +β/2) =1/65 Cos(α +β) =63/65
26 In the triangle Δ ABC, where C is the right angle Tan A + Tan B= A +B C<sup>2</sup>&nbsp;/AB A<sup>2</sup>/BC B<sup>2</sup>/AC
27 Sin (2π -θ) =______. Cosθ -Sinθ -Sinθ -cosθ
28 Cot 360° =______. Undefined 0.707 -0.5 0
29 Sin 720° = ________ 1 0 2 1/2
30 If sinθ = 1 then θ = 2nπ +π/2 2nπ 2π +n Nπ +π/2
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