ECAT Pre Engineering Entry Test With Answers

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ECAT Pre Engineering Entry Test

Sr. # Questions Answers Choice
1 The triangle that does not have a right angle is called. Isosceles triangle right angle triangle equivalent triangle oblique triangle
2 The angle of elevation of the tops of two towers at the middle point of the line joining the foots of the tower are 60ΞΏand 30ΞΏrespectively. The the ratio of the heghts of the tower is 2 : 1 3 : 1 1 : 2 1 : 3
3 If the flag-staff 6 meters high placed on the top of a tower. Makes the shadow 2√3 m on the ground, then the angle of elevation of the sun is 30<sup>ο</sup> 35<sup>ο</sup> 45<sup>ο</sup> 60<sup>ο</sup>
4 The angle of depression of a point A on the ground from the top of the tower is 30𝜊,then the angle of elevation of the top of the tower at the point A is 60𝜊 40𝜊 41𝜊 30𝜊
5 The angle of depression of the point at a distance 70 meters from the foot of the tower from the top of the tower is 45𝜊.The height of the tower is 37m 97m 101m 70m
6 When the angle between the ground and the sun is 30𝜊,flag pole costss a shadow of 40 mg long. the height of the top of the flag is 25m 23m 12m 29m
7 A kite flying at a height of 67.2 m is attached to a fully stretched string inclined at an angle of 53 to the horizontal, the length of the string 62m 82m 73m 57m
8 The towers each 120 meters high are 800 meters apart. The measure of the angle of elevation from the base of one tower to the top of the other is 12<sup>𝜊</sup> 9<sup>𝜊</sup> 7<sup>𝜊</sup> -120<sup>𝜊</sup>
9 The angle of elevation of the top of a tree from a point 17 meters from is foot is 42𝜊The height of the tree is 12m 21m 17m 15m
10 In ladder leaning against a vertical well makes an angle of 24𝜊with the wall, Its foot is 5m from the wall, its length is 5.47m 2m 7m 6.29m
11 A vertical pole is 8m high and the length of its shadow is 6m. The angle of elevation of the sun of the moment is 57𝜊 -48𝜊 27𝜊 53𝜊
12 A triangle has six side elements angle tangents
13 The process of finding the unknown elements in triangle is called the solution of the triangle Mean differnece Engineering distance angle of depressin
14 The period of cot 8x is π/10 9π/7 π/9 π/8
15 The period of sin x/2 = Cos x/3 is 2p 12p 13p 7p
16 What is the period of sin 2x/3 cos 4x=? π 2π π/2 π/3
17 What is the period of tan 4/3 x =? π/4 4π/3 7π/4 3π/4
18 What is the period of cos 6x =? π/2 π/3 π/4 π
19 What is the period of 6 sin x=? π -π π/2 2π
20 What is the period of 5 cot x=? π -π π/2 2π
21 The period of the function csc x/4 us 4x π/4 8π π/8
22 The range of the tangent function is all real numbers -1 ≤ x ≥ 1 natural number z<sup>+</sup>
23 2Ο€ is the period of sin𝜽 tan𝜽 cot𝜽 all circular function
24 Tangent is ...............function Inverse one-one in-to Periodic
25 The period of 3 sin x is 2π 9π 3π 5π
26 The period of cos(7x-5) is π/7 7π/2 π/2 2π/7
27 The period of|sin⁑2x| is π/2 -π/2 π π/3
28 The period of|sin⁑2x| is π/2 -π/2 π π/3
29 The period of 2 cos x is 30π 7π 5π 2π
30 The period of tan x/7 is 3π 7π 15π 5π
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