ECAT Pre Engineering Entry Test With Answers

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ECAT Pre Engineering Entry Test

Sr. # Questions Answers Choice
1 12 13 14 15
2 15/23 7/15 7/8 15/7
3 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
4 Let Sndenote the sum of the first n terms of an A.P. If S2n= 3 Sn: Snis equal to 4 6 8 10
5 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
6 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
7 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
8 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
9 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
10 The third term of a G.P. is 4, The product of first five terms is 43 45 46 None of these
11 5th term of a G.P. is 2, then the product of first 9 terms is 256 128 512 None of these
12 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>
13 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
14 If a, b, c are in A.P., then 3a, 3b, 3care in A.P. G.P. H.P. None of these
15 The next term of the sequence 1, 2, 4, 7, 11, ..... is. 15 16 17 18
16
17 A relation in which the equality is true only for some values of the unknown is called An identity An equation A polynomial None
18 A fraction in which the degree of the numerator is less the degree of the denominator is called Polynomial Proper fraction Rational fraction None
19
20 x2+ x - 5 = 0 is A polynomial An inequality An identity None
21 (x + 2)2= x2+ 4x + 4 is A linear equation A cubic equation A quadratic equation None
22
23 A = x, B = 1 A = 0, B = 2 A = -1, B = 1 A = x-1, B = x + 1
24 Which is a proper rational fraction
25
26 There are ______ types of rational fraction Three Four Five Two
27 Rational fraction Proper fraction Improper rational fraction None of these
28 Proper fraction Improper fraction Rational fraction None of these
29 Improper rational fraction Rational fraction Proper rational fraction None of above
30 The symbol ______ shall be used both for equation and identity <br>
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