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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The roots of the equation ax
2
+ bx + c = 0 are real and equal if
Choose an answer
b
2
- 4ac < 0
b
2
- 4ac = 0
b
2
- 4ac > 0
None of these
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Question # 2
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Question # 3
The many subset can be formed from the set {a,b,c,d}
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8
4
12
16
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Question # 4
The general value of
θ
satisfying the equation 2 sin
2
θ
- 3 sin
θ
-2 = 0 is
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Question # 5
It is not possible to find the exact value of
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π
√9
∛27
√1
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Question # 6
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(x, y)
(kx, y)
(x, ky)
(kx, ky)
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Question # 7
The range of the principle cot function is
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Question # 8
The integral of 3x
5
dx is:
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15 x
4
x
6
/2
1/6x
5
x
5
/ln3
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Question # 9
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Question # 10
If z
1
= 1 + 2i, z
2
= 3 + 4i then
Choose an answer
z
1
> z
2
z
1
= z
2
z
1
< z
2
None of these
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Question # 11
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Question # 12
If f (x)=a0 +a1x+a2x2+a3x3-----+0n-1xn-1+anxn then f(n) (x) is equal to
Choose an answer
n!
ann!
0
an
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Question # 13
The exact value of cos-1 (0) is
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π/2
-π/2
3π
π-π/6
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Question # 14
If z1 = 2 + 6i and z2 = 3 + 7i then which expression defines the product of z1 and z2
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36 +(-32)i
-36+32i
6+(-11)i
0, +(-12)i
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Question # 15
The value of sin-1 24/25 is equal to
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csc-1 25/24
sec-1 24/25
2 tan-1 4/5
2cos-1 24/25
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Question # 16
Let the sequence 1, 2, 2, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, ..... where n consecutive terms have the value n, then 1025th term is
Choose an answer
2
9
2
10
2
11
2
8
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Question # 17
A conditional is regarded as false only when the antecedent is true and consequent is
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True
False
Known
Unknown
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Question # 18
the latus rectum of the parabola x
3
= -4ay is:
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x = a
y = -a
x = -a
y = 0
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Question # 19
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1
-i
i
0
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Question # 20
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Question # 21
How many arrangements of the letters of the word MATHEMATICS can be made
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Question # 22
The set of real roots of the equation log
(5x + 4)
(2x +3)
3
- log
(2x + 3)
(10x
2
+ 23x + 12) = 1 is
Choose an answer
{-1}
{-3/5}
Empty set
{-1/3}
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Question # 23
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Question # 24
If the pth, qth, and rth terms of an A.P. are in G.P:., then the common ratio of the G.P. is
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Question # 25
Consider the equation px2 + qx + r = 0 where p,q,r are real The roots are equal in magnitude but opposite in sign when
Choose an answer
q = 0, r = 0,p ≠ 0
p = 0,qr≠ 0
r = 0,pq≠ 0
q = 0, pq≠ 0
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Question # 26
When a selection of object is made without paying regard to the order of selection, it is called
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Sequence
Series
Combination
Permutation
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Question # 27
The domain of the function y = sin x , is
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-π/2≤ x≤ π/2
π/ ≤ x≤ π
-2π ≤ x≤ 2π
-1 ≤ x≤ 1
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Question # 28
Choose an answer
1
-1
0
None of these
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Question # 29
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0
1
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Question # 30
Choose an answer
5
-5
none
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Question # 31
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2
-3/2
1
0
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