Mathematics ECAT Pre Engineering Online Test With Answers

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Mathematics ECAT Pre Engineering Online Test

Sr. # Questions Answers Choice
1 Roots of the equation 2x2- 7x + 3 = 0 are Rational Irrational Complex None of these
2 Roots of the equation x2+ 5x - 1 = 0 are Rational Irrational Complex None of these
3 Roots of the equation x2+ 2x + 3 = 0 are Real and equal Real and distinct Complex None of these
4 The roots of the equation ax2+ bx + x = 0 are real and distinct if b<sup>2</sup>- 4ac &lt;0 b<sup>2</sup>- 4ac = 0 b<sup>2</sup>- 4ac &gt; 0 None of these
5 The roots of the equation ax2+ bx + c = 0 are complex/imaginary if b<sup>2</sup>- 4ac &lt; 0 b<sup>2</sup>- 4ac = 0 b<sup>2</sup>- 4ac &gt; 0 None of these
6 The roots of the equation ax2+ bx + c = 0 are real and equal if b<sup>2</sup>- 4ac &lt; 0 b<sup>2</sup>- 4ac = 0 b<sup>2</sup>- 4ac &gt; 0 None of these
7 If S and P are the sum and the product of roots of a quadratic equation, then the quadratic equation is x<sup>2</sup>+ Sx - P = 0 x<sup>2</sup>- Sx + P = 0 x<sup>2</sup>- Sx - P = 0 X<sup>2</sup>+ Sx + P = 0
8 c/a -c/a b/a -b/a
9 If 3x4+ 4x3+ x - 5 is divided by x + 1, then the reminder is 0 7 -7 5
10 If x3- x2+ 5x+ 4 is divided by x - 2, then the reminder is 0 2 18 14
11 If x4- 10x2- 2x + 4 is divided by x + 3, then the reminder is 1 0 4 None of these
12 If x3+ 4x3- 2x +5 is divided by x - 1, then the reminder is 8 6 4 None of these
13 If a polynomial P(x) is divided by x + a, then the remiander is P(a) P(-a) P(0) None of these
14 2x3+ 3x + 9 is a ______ Polynomial of degree 3 Quadratic equation Cubic equation Polynomial of degree 2
15 If x3+ ax2- a2x - a3is divided by x + a, then the remainder is 0 a<sup>3</sup> 2a<sup>3</sup> -2a<sup>3</sup>
16 If a polynomial P(x) is divided by x - a, then the remainder is P(o) P(-a) P(a) None of these
17 The quadratic formula is
18 The solution set of x2- 5x + 6 = 0 is {1, 3} {2, 3} {1, 2} None of these
19 5x3+ 3x - is a ______ Polynomial of degree 3 Polynomial of degree 2 Polynomial of degree 1 Polynomial of degree 0
20 Polynomial of degree 0 Polynomial of degree 2 Quadratic equation None of these
21 Linear equation Quadratic equation Cubic equation None of these
22 Polynomial of degree 0 Polynomial of degree 1 Polynomial of degree 2 Polynomial of degree n
23 w11= ______ 0 1 w w<sup>2</sup>
24 w-12= ______ 0 1 w w<sup>2</sup>
25 w4= ______ 0 1 w w<sup>2</sup>
26 w-1= ______ 0 1 w w<sup>2</sup>
27 w15= ______ 0 1 w w<sup>2</sup>
28 x4- 3x3+ 3x + 1 = 0 is called ______ Reciprocal equation Exponential equation Radical equation None of these
29 Reciprocal equation Exponential equation Radical equation None of these
30 41+x+ 41-x= 10 is called Reciprocal equation Exponential equation Radical equation None of these
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