Mathematics ECAT Pre Engineering Online Test With Answers

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Mathematics ECAT Pre Engineering Online Test

Sr. # Questions Answers Choice
1 If a1, r are first term and the common ratio respectively then the sum of an infinite geometric series is
2 6x - 2 + c x<sup>3</sup>- x<sup>2</sup>+ x + c 6x - x<sup>2</sup>+ c 6x<sup>3</sup>- x<sup>2</sup>+ c
3 If a1and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is 0 a<sub>1</sub>r<sup>n-1</sup> a<sub>1</sub>r<sup>n+1</sup> a<sub>1</sub>r<sup>n</sup>
4 The common ration of a geometric sequence cannot be 0 1 2 3
5 6x + 2 + c 6x + x<sup>2</sup>+ c 6x<sup>3</sup>+ x<sup>2</sup>+ x
6 No term of a geometric sequence can be 0 1 2 3
7 Sum of n terms of a geometric series if | r | < 1 is
8 2x + 3 x<sup>2</sup>+ 3 + c
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10 none of these
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12 Find the geometric mean between 4 and 16
13 The numbers of G1, G2, G3...... Gnare called n geometric means between a and b is a, G1, G2,G3, ... Gn, b are in H.P. A.P. G.P. None of these
14 G is geometric mean between a and b if a, G, b is A.P. G.P. H.P. None of these
15 2<sup>x</sup> 2<sup>x </sup>In x 2<sup>x</sup>In 2
16 Geometric mean between a and b is
17 a<sup>x</sup> a<sup>x </sup>In a
18 3, 6, 12,.... is A.P G.P. H.P. None of these
19 The nth term of a G.P. is a<sub>1</sub>r<sup>n</sup> a<sub>1</sub>r<sup>n+1</sup> a<sub>1</sub>r<sup>n-1</sup> a<sub>1</sub>r<sup>-n</sup>
20 The sum of n terms of a series is denoted by d n S<sub>n</sub> a<sub>n</sub>
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22 The series obtained by adding the terms of an arithmetic sequence is called the Infinite series Harmonic series Geometric series Arithmetic series
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24 A number A is called the arithmetic mean between a and b if a, A, b is ______ Arithmetic sequence Geometric sequence Harmonic sequence Arithmetic sequence
25 Derivative of x3w.r.t x is 0 1 3x<sup>2</sup> x<sup>3</sup>
26 Derivative of a w.r.t x is 0 1 x x
27 Write the first four terms of the sequence if an= (-1)nn2 -1, 4, -9, 16 1, -4, 9, 16 1, 4, 9, 16 None of these
28 Derivative of sin x w.r.t. sin x is 0 1 sin x cos x
29
30 Write the first four terms of the arithmetic sequence 5, 2, -1, ... is 3 -4 7 1
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