ECAT Mathematics Online Test With Answers

image
image
image

ECAT Mathematics Online Test

Sr. # Questions Answers Choice
1 If Sn is a definite number as n → ∞,then the geometric series is Convergent Divergent Oscillatroy None of these
2 The sum of infinite numbers of terms of an arithmetic series is Finite Infinite May or may not finite None of these
3 The sum of indicated terms of a sequence is called Arithmetic series Series Harmonic series None of these
4 an - an-1 will be common difference in an A.P if n = 1∀n∈ N n>1∧n∈N n∈Z None of the above
5 For three consecutive terms in A.P middle term is called A.M nth term Central term None of these
6 If A is such that a,A,B are in A.P then A is called A.M Common ratio Common difference None of these
7 In an A.P,a +(n-a)d is 1st term General term Last term None of these
8 an -an-1,∀n∈N∧n>1 in an A.P is called Common difference nth term Common ratio None of these
9 If all members of a sequence are real numbers then it is called A.P Real Sequence G.P None of these
10 If x,y are two -ve distinct numbers then A>G>H A<G<H A=G=H None of these
11 If x,y are two positive distinct numbers then A>G>H A<G<H A=G=H None of these
12 A,G,H are in A.P G.P H.P None of these
13 A sequence whose reciprocal is an A.P is called Oscillator H.P G.P None of these
14 A Series which does not coverage to a Unique sum is called Harmonic Series Oscillatroy Series Arithmetic Series None of these
15 A Geometric Series is divergent only if |r|>1 |r|≥1 |r|=1 None of these
16 The three consecutive numbers a,√ab,b are in G.P H.P G.M None of these
17 If G is a G.M between a and b then a,G,b are in A.P H.P G.P None of these
18 The formula an = arn-1represents nth term of G.P Sum of the first n terms G.M between a and b None of these
19 The formula an = a +(n-1)d for an A.P is called nth term of an A.P Sum of first n terms A,M between a and b None of the above
20 An infinite sequence has no nth term Last term Sum None of these
21 An indicated sum of terms of a sequence is represented by Sn an S(n) {Sn}
22 Which one represents a sequence an Sn a(n) {an}
23 The domain of an infinite sequence is a Set of natural numbers R Subset of N None of the above
24 The domain of a finite sequence is a Set of natural numbers R Subset of N Proper subset of N
25 A sequence is a function whose domain is N Subset of N R None of these
26 The roots of px2 - (p-q)x-q=0 are equal Irrational Rational Imaginary
27 The roots of (b-c)x2+(c-a) x+a-b=0 are equal if 2b = a+c 2a = b+c 2c = a+b a + b + c =0
28 The roots of ax2+bx+c=0 are Rational ⇔ b2 -4 ac ≥ 0 Irrational ⇔ b2-4 ac > 0 Real ⇔ b2-4 ac ≠ 0 Rational⇔ b2-4 ac = 0
29 If a,β are the roots of ax2+bx+c=0,the equation whose roots are doubled is ay2 +2by+c=0 ay2+2by+4c=0 ay2+2by+c=0 ay2+by+4c=0
30 If w+w2 is a root of (x+1)(x+2)(x+3)(x+4) = k, then k=0 k=1 k=w k=w2
Download This Set
×