ECAT Pre Engineering Entry Test With Answers

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ECAT Pre Engineering Entry Test

Sr. # Questions Answers Choice
1 If origin is the mid point of (a, -3) and (-5, b) then a = -5 , b = -3 a = 5 , b =3 a = -5 , b = 3 a = 5 , b = -3
2 The middle term in the expansion of (a +x)12is 7th 8th 9th 6th
3 The sum of the coefficient in the expansion of (a + x)5is 32 16 8 5
4 The sum of the odd coefficients in the expansion of (a + x)4is 14 12 8 4
5 If origin is the mid point of (a,3) and (5,b) then a = -5 , b = -3 a = 5 , b =3 a = -5 , b = 3 a = 5 , b = -3
6 The sum of even coefficient in the binomial expansion is 2<sup>n+1</sup> 2<sup>n</sup> 2<sup>n-1</sup> 2n
7 If n is odd then the middle terms in the expansion of (a + x)nare
8 a 2a 3a 4a
9 1 2 -1 0
10 In the expansion of (a + x)nthe sum of exponents of a and x in each term of the expansion is n + 1 n - 1 n 2n
11 The mid point of the line segment joining the points (a,b) and (b,a) is
12 The number of terms in the expansion of (a + b)9is 10 11 9 12
13 If the exponent in the binomial expansion is 6, then the middle term is 2nd 3rd 4th 5th
14 The mid point of the line segment joining the points (3,-1) and (-3,1) is (3,-1) (0,0) (2,2) (4,4)
15 The first three terms in the expansion of (1 - x)-3are 1 + 3x + 6x<sup>2</sup> 1 - 3x + 6x<sup>2 </sup> -3 - 3x - 6x<sup>2</sup> 1 - 3x - 6x<sup>2</sup>
16 The mid point of the line segment joining the points (4,0) and (0,4) is (4,4) (2,2) (-4,-4) (-2,-2)
17 The first three terms in the expansion of (1 - x)-2are 1 - 2x + 3x<sup>2</sup> 1 - 2x - 3x<sup>2</sup> 1 + 2x + 3x<sup>2</sup> -2 - 2x +3x<sup>2</sup>
18 The mid point of the line segment joining the points A(-8,3) and B(2,-1) is (-3,1) (-6,2) (5,2) (-5,2)
19 The mid point of the line segment joining the points A(3,1) and B(-2,-4) is (1, -3)
20 The first three terms in the expansion of (1 - x)-1are 1 + x + x<sup>2</sup> 1 - x - x<sup>2</sup> -1 -x +x<sup>2</sup> 1 - x + x<sup>2</sup>
21 The first three terms in the expansion of (1 + x)3are 1 + 3x +6x<sup>2</sup> 1- 3x + 6x<sup>2</sup>\ -3 -3x -6x<sup>2</sup> 1- 3x -6x<sup>2</sup>
22 The first three terms in the expansion of (1 + x)-2are ______ 1 - 2x + 3x<sup>2</sup> 1 - 2x - 3x<sup>2</sup> 1 + 2x + 3x<sup>2</sup> -2 -2x + 3x<sup>2</sup>
23 The distance between the points A(-8,3) and B(2,-1) is 116 none of these
24 The first three terms in the expansion of (1 + x)-1are 1 + x + x<sup>2</sup> 1 - x - x<sup>2</sup> -1 -x + x<sup>2</sup> 1 - x + x<sup>2</sup>
25 The distance between the points A(3,1) and B(-2,-4) is 5 25 10
26 The sum of coefficients in the binomial expansion equals to 2 2<sup>n+1</sup> 2<sup>n-1</sup> 2<sup>n</sup>
27 Even Odd Prime None of these
28 The mid point of the line joining the points P(x1, y1) and Q(x2, y2) is
29 2 7 8 12
30 The point R dividing externally the line joining the points P(x1, y1) and Q(x2, y2) in the ratio k1: k2has the coordinates
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