ECAT Pre Engineering Entry Test With Answers

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ECAT Pre Engineering Entry Test

Sr. # Questions Answers Choice
1 An expression involving any of the symbols <,>,< or > is called equation inequality linear equation identity
2 360° 180° 90° None of these
3 3x + 4 = 0 is not inequality equation identity inequality
4 3x + 4 < 0 is not inequality equation identity inequality
5 3x + 4 < 0 is inequality equation identity not inequality
6 3x + 4 > 0 is equation inequality identity none of these
7 3x + 4 > 0 is equation identity inequality none of these
8 The expansion of (1 - 3x)-1is valid if | x | &lt; 1 | x | &lt; 3 | x | &lt; 1/3 None of these
9 The expansion of (1 + 2x)-2is valed if | x | &lt; 1/2 | x | &lt; 1 | x | &lt; 2 | x | &lt; 3
10 If | x | < 1, then the first two terms of (1 - x)1/2are
11 8 9 10 11
12 If n is not natural number, then the expansion (1 + x)nis valid for
13 The sum of the even coefficients in the expansion (1 + x)nis n<sup>2</sup> 2<sup>n-2</sup> 2<sup>n-1</sup> 2<sup>n</sup>
14 If A(x1, y1) , B(x2, y2) and C(x3, y3) are the vertices of a triangle then its centroid is
15 If the exponent in the binomial expansion is 6, then the middle term is 2nd term 3rd term 4th term 5th term
16 The number of terms in the expansion of (a + x)12is 13 12 11 10
17 (1 - x)3= ______ 1 + 3x + 3x<sup>2</sup>+ x<sup>3</sup> 1 + x + x<sup>2</sup>+ x<sup>3</sup> 1 - x + x<sup>2</sup>- x<sup>3</sup> 1 - 3x + 3x<sup>2</sup>- x<sup>3</sup>
18 The point of concurrency of the right bisectors of the sides of a triangle is called incentre circum center e-center centroid
19 (1 + 2x)4= ______ 1 + 4x + 6x<sup>2</sup>+ 4x<sup>3</sup>+ x<sup>4</sup> 1 - 4x + 6x<sup>2</sup>- 4x<sup>3</sup>+ x<sup>4</sup> 1 - 8x + 24x<sup>2</sup>- 32x<sup>3</sup>+ 16x<sup>4</sup> 1 + 8x+ 24x<sup>2</sup>+ 32x<sup>3</sup>+ 16x<sup>4</sup>
20 The point of concurrency of the angle bisectors of a triangle is called incentre circumcentre e-centre centroid
21 If n is any positive integer then 2n> 2(n + 1) is true for all
22 The point of concurrency of the medians of a triangle is called incentre circumcentre e-centre centroid
23 The point which divides the line segment joining the points (a, b) and (c, d) in the ratio 2 : 3 internally is none of these
24 The centroid of a triangle divides each median in the ratio 2 : 1 3 : 1 3 : 2 1 : 1
25 If n is any positive integer then 4n>3n+ 4 is true for all
26 The coordinates of the point that divides the join of A(-6,3) and B(5, -2) in the ratio 2:3 externally are
27 If n is any positive integer then 3 + 6 + 9 + ....+ 3n = ______
28 The coordinates of the point that divides the join of A(-6,3) and B(5, -2) in the ratio 2:3 internally
29 If a statement S(n) is true for n = i where i is some natural number and the truth of S(n) for n = k > i implies the truth of S(n) for n = k +1 then S(n) is true for all positive integers
30 If (2, 3) is the mid point of (a, 3) and (5, b) then a = 1 , b = -3 a = -1 , b = 3 a = 1 , b =3 a = -1 , b = -3
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