ECAT Mathematics MCQ's Test For Full Book With Answers

ECAT Mathematics MCQ's Test For Full Book

Sr. # Questions Answers Choice
1 The points (x, y) which satisfy a linear inequality in two variables x and y from its domain range solution none of these
2 x = ________ is in the solution of 2x - 5 > 0 0 2 -2 3
3 x = ________ is in the solution of 2x - 3 < 0 2 -2 3 4
4 x = ________ is in the solution of 2x + 3 > 0 1 -2 -3 -4
5 x = _________ is in the solution of 2x + 3 < 0 0 2 -1 -2
6 x = -1 is in the solution of the inequality x + 5 &lt; 0 2x + 3 <u>&lt;</u> 0 x &gt; 0 2x + 3 &gt; 0
7 x = 1 is in the solution of the inequality x + 1 &gt; 0 x - 2 &gt; 0 3x - 1 &lt; 0 x + 2 &lt; 0
8 x = 0 is in the solution of the inequality x &gt; 0 3x + 4 &lt; 0 x + 3 &lt; 0 x - 2 &lt; 0
9 The real numbers which satisfy an inequality form its solution coefficient domain range
10 ax + by < c is linear inequality in four variables three variables two variables one variable
11 2x + 3y > 4 is a linear inequality in one variable two variables three variables none of these
12 An expression involving any of the symbols <,>,< or > is called equation inequality linear equation identity
13 3x + 4 = 0 is not inequality equation identity inequality
14 3x + 4 < 0 is not inequality equation identity inequality
15 3x + 4 < 0 is inequality equation identity not inequality
16 3x + 4 > 0 is equation inequality identity none of these
17 3x + 4 > 0 is equation identity inequality none of these
18 The expansion of (1 - 3x)-1is valid if | x | &lt; 1 | x | &lt; 3 | x | &lt; 1/3 None of these
19 The expansion of (1 + 2x)-2is valed if | x | &lt; 1/2 | x | &lt; 1 | x | &lt; 2 | x | &lt; 3
20 If | x | < 1, then the first two terms of (1 - x)1/2are
21 8 9 10 11
22 If n is not natural number, then the expansion (1 + x)nis valid for
23 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>
24 If the exponent in the binomial expansion is 6, then the middle term is 2nd term 3rd term 4th term 5th term
25 The number of terms in the expansion of (a + x)12is 13 12 11 10
26 (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>
27 (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>
28 If n is any positive integer then 2n> 2(n + 1) is true for all
29 If n is any positive integer then 4n>3n+ 4 is true for all
30 If n is any positive integer then 3 + 6 + 9 + ....+ 3n = ______
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