ECAT Mathematics MCQ's Test For Full Book With Answers

ECAT Mathematics MCQ's Test For Full Book

Sr. # Questions Answers Choice
1 The term involving x4in the expansion of (3 - 2x)7is 120 1512 1250 15120
2 (51)4is equal to 7065201 8065201 6765201 6565201
3 72n+ 3n-1. 23n-3is divisible by 24 25 9 13
4 (2.02)4 s equal to 16 16.6496 17 18
5 When we expand (a + 2b)5then a<sup>5</sup>+ 10a<sup>4</sup>b + 40a<sup>3</sup>b<sup>2</sup>+ 80a<sup>2</sup>b<sup>3</sup>+ 80ab<sup>4</sup>+ 32b<sup>5</sup> a<sup>5</sup>+ a<sup>4</sup>b + a<sup>3</sup>b<sup>2</sup>+ a<sup>2</sup>b<sup>3</sup>+ ab<sup>4</sup>+ b<sup>5</sup> 5a<sup>5</sup>+ 4a<sup>4</sup>b + 3a<sup>3</sup>b<sup>2</sup>+ 2a<sup>2</sup>b<sup>3</sup>+ 1 ab<sup>4</sup>+ b<sup>5</sup> None
6 For every positive integers n 1+5+9+....+ (4n - 3) is n(2n - 1) (2n - 1) n - 1 n
7 3/8 7/8 1/8 None
8 <sup>n</sup>C<sub>r</sub> <sup>n+1</sup>C<sub>r+1</sub> <sup>n</sup>C<sub>r+1</sub> None
9 If (1+x-2x3)6= 1+a1x + a2x2+ a3x3+ ..... the the value of a2+ a4+ a6+ .....+a12will be 32 31 64 1024
10 The greatest integer which divides the number 101100- 1 is 100 1000 10000 100000
11 If (1+x)n=C0+ C1x +C2x2+ ......+Cnx1then C0C2+ C1C3+ C2C4+ .....+Cn-2Cn=
12 ab=-1 ab = 1 ab = 2 None
13 If the 4th term in the expansion of (px + x-1)mis 2.5 for all x∈ R, then
14 The greatest term in the expansion of (3+2x)9, when x=1 is 4th 4th and 5th 5th 6th
15 The sum of co-efficient in (1+x-3x2)4163is 0 1 -1 None
16 Digit in the unit place of the number 183! + 3183 7 6 3 0
17 If the expansion of (1 + x)20, then co-efficient of rth ad (r + 4)th term are equal, then r is 7 8 9 10
18 If the sum of co-efficient in the expansion of (a+b)nis 4096, then the greatest co-efficient in the expansion is 1594 792 924 2924
19 If the sum of co-efficient in the expansion of (a+b)nis 4096, then the greatest co-efficient in the expansion is 1594 792 924 2924
20 The positive integer just greater than (1+0.0001)10000is 4 5 2 3
21
22 2 and 9 3 and 2 2/3 and 9 3/2 and 6
23 28 / 81 28 / 243 81 / 28 243 / 82
24 405 / 256 504 / 259 450 / 263 None
25 <sup>10</sup>C<sub>6</sub> <sup>10</sup>C<sub>5</sub> <sup>10</sup>C<sub>4</sub> None
26 If in the expansion of (1+x)n, co-efficients of 2nd, 3rd and 4th terms are in A.P., then x= 4 5 6 7
27 Cycle tyres are supplied in lots of 10 and there is a chance if 1 in 500 tyres to be defective. Using Poisson distribution, the approximate number of lots containing no defective tyre in a consignment of 10, 0000 lots is 9028 9208 9802 9820
28 Three integers are chosen at random from the first 20 integers. Then probability that their product is even, is 2 / 19 3 / 29 17 / 19 4 / 19
29 5 / 12 3 / 8 5 / 8 7 / 4
30 A die is thrown 100 times. If getting an odd number is considered a success, the variance of the number of successes is 50 25 10 100
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