Mathematics ECAT Pre Engineering Online Test With Answers

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Mathematics ECAT Pre Engineering Online Test

Sr. # Questions Answers Choice
1 The period of tan x/7 is 3π 7π 15π 5π
2 For all positive integral value of n,3n< n! , when n&gt; 6 n&lt; 6 n&lt;11 n&gt;11
3 The fifteenth term of (3-a)15 is -17a<sup>12</sup> -945a<sup>13</sup> -941a<sup>13</sup> -515a<sup>12</sup>
4 The coefficient of x18 in (ax4-bx)9 after expansion is 84a<sup>3</sup> b<sup>6</sup> 22a<sup>3</sup>b<sup>6</sup> 27a<sup>4</sup>b<sup>5</sup> 28a<sup>3</sup>b<sup>6</sup>
5 The fifth term of (a+2x3)17 is 4013 x3a13 2208a13 x12 223x7a18 38080a13 x12
6 The 5th term of (3a-2b) -1 is 77b<sup>2</sup>/a<sup>5</sup> 16b<sup>2 </sup>/243 a<sup>5</sup> 17b<sup>4</sup>/43a<sup>5</sup> 25b<sup>3</sup>/43a<sup>5</sup>
7 The term independent of x is the expansion (x3+1/x)12 295 495 395 722
8 The seventh term of (x3+1/x)8is 71 -22 27 28
9 The 7th term of (38 + 64x)11/4 is -19217/3 x<sup>6</sup> 189/2 6<sup>4</sup>x 2227/12 x<sup>3</sup> -19712/3 x<sup>6</sup>
10 The 8th term of (1+2x) -1/2is -221/16 x<sup>7</sup> -225/18 x<sup>7</sup> -407/9 x<sup>3</sup> -429/16 x<sup>7</sup>
11 The term involving x4 the expansion (3-2x)7 is 217 x4 15120x4 313x4 -25x4
12 The coefficient of the third term of (8a-b)1/3, after simplification is -228 1/288 1/220 -1/177
13 The coefficient of x10in the expansion (x3+3/x2)10is 1700 17023 17027 17010
14 The coefficient of x10in the expansion (x3+3/x2)10is 1700 17023 17027 17010
15 (x3-1/x)12 295 495 395 722
16 The term involving x4 in the expansion (3-2x) is 217x<sup>4</sup> 15120x<sup>4</sup> 313x<sup>4</sup> -25x<sup>4</sup>
17 The middle term of (x-y)8is 25 x<sup>4</sup>y<sup>4</sup> 70 x<sup>4</sup>y<sup>4</sup> 120 x<sup>4</sup>y<sup>4</sup> 97x<sup>4</sup>y<sup>4</sup>
18 The coefficient of the second term of (a+b)4 is 1 9 3 5
19 (x3-1/2x)6 is 15/16 x<sup>2</sup> 2/13 x<sup>2</sup> 17/7 x<sup>2</sup> 16/15 x<sup>2</sup>
20 The middle term of [1/x-x]10 is -152 -252 371 -421
21 n2 - 1 divisible by 8 when n is an odd integer an even integer Irrational Prime Number
22 n! > 2n-1 is true when n≤ 3 n≤ 6 n≥ 4 n≤ 6
23 for n€ N, 32n + 7 is divisible by 7 8 9 10
24 If nis positive integers, then 2n>2n+1, only when n≤ 3 n≥ 3 n≤ 2 n≤ 1
25 For≥ -2 , 1+3+5+......+(2n+5) (n+2)<sup>2</sup> (n-2)<sup>2</sup> 2n+1 (n+3)<sup>2</sup>
26 For n€ N,2n>2 > n is to only when n&lt;2 n≤ 4 n≥ 4
27 If n € N , then n(n+3) is always Multiple of 3 Multiple of 6 odd even
28 For each even natural number n (n2-1) is divisible by 6 3 4 8
29 If n is any positive integer ,t hen 2+4+6+......+2 n= 2<sup>n</sup>-1 2<sup>n</sup>+1 n<sup>2</sup>+1 n(n+1)
30 The sum of the cubes of three consecutive natural number is divisible by 9 6 5 10
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