ECAT Mathematics MCQ's Test For Full Book With Answers

ECAT Mathematics MCQ's Test For Full Book

Sr. # Questions Answers Choice
1 The 10th common term between the series 3+7+11+....... and 1 + 6 +11 + ....... is 191 193 211 None of these
2 Let a1, a2, a3, a4and a5be such that a1, a2, and a3are in A.P., a2, a3and a4are in G.P and a3, a4and a5are in H.P. Then, a1, a3and a5are in G.P. A.P. H.P. None of these
3 If three unequal numbers p, q, r are in H.P. and their squares are in A.P., then the ration p : q : r is
4 The consecutive terms of a progressions are 30, 24, 20. The next term of the progression is
5 Every term of a G.P. is positive and also every term is the sum of two preceding terms. Then the common ratio of the G.P. is
6 2<sup>2</sup>- n - 1 1 - 2<sup>-n</sup> n + 2<sup>-n</sup>-1 2<sup>n</sup>- 1
7 If a, b, c are in AP., a, b, c are in G.P. then A, m2b, c are in A.P. G.P. H.P. None of these
8 If a1= a2= 2, an= an-1- 1 (n > 2), then a5is 1 0 -1 -2
9 pth term of an H.P. is qr and qth term is pr then the rth term of the H.P. is pqr 1 pq pqr<sup>2</sup>
10 If the pth, qth, and rth terms of an A.P. are in G.P:., then the common ratio of the G.P. is
11 1 2 3/2 5/2
12
13 If P, Q, R be the A.M., G.M., H.M. respectively between any two rational numbers a and b, then P - Q is
14 99th term of the series 2 + 7 + 14 + 23 + 34 + ..... is 9998 9999 10000 None of these
15 A.P. G.P. H.P. None of these
16 12 13 14 15
17 15/23 7/15 7/8 15/7
18 If x, y, z are the pth, qth, rth terms of an A.P. and also of G.P., then xy-z. yz-x. zx-yeqals xyz 0 1 None of these
19 Let Sndenote the sum of the first n terms of an A.P. If S2n= 3 Sn: Snis equal to 4 6 8 10
20 If p, q, r and in A.P., a is G.M. between p and q and b is G.M. between q and r, then a2, q2, b2are in A.P. G.P. H.P. None of these
21 The A.M. of two numbers is 34 and G.M. is 16, the numbers are 2 and 64 64 and 3 64 and 4 None of these
22 If ax= by= czand a, b, c are in G.P. then x, y, z are in A.P. G.P. H.P. None of these
23 If Srdenotes the sum of the first r terms of a G.P., then Sn, S2n- Sn, S3n- S2nare in A.P. G.P. H.P. None of these
24 Given two numbers a and b. Let A denote the single A.M. between these and S denote the sum of n A.M.'s between them. Then S/A depends upon n, a, b n, a n, b n
25 The third term of a G.P. is 4, The product of first five terms is 43 45 46 None of these
26 5th term of a G.P. is 2, then the product of first 9 terms is 256 128 512 None of these
27 An A.P. consists of n(odd terms) and its middle term is m. then the sum of the A.P. is 2 mn 1/2 mn mn mn<sup>2</sup>
28 If a, b, c, d, e, f are in A.P.,then e-c is equal to 2(c - a) 2(f - d) 2(d - c) d - c
29 If a, b, c are in A.P., then 3a, 3b, 3care in A.P. G.P. H.P. None of these
30 The next term of the sequence 1, 2, 4, 7, 11, ..... is. 15 16 17 18
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