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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The solution set of x < 4 is
Choose an answer
-
∞
< x < 4
-
∞
> x > 4
-
∞
< x < 2
-
∞
> x > 2
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Question # 2
The point P (5,8) and the origin lie on the side of the line 3x+ 7y+ 15 =0
Choose an answer
Same side
P above and origin below
Opposite side
P below and origin above
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Question # 3
Choose an answer
1/3
1
3
None of these
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Question # 4
If a
1
= 3, r = 2, then the nth term of the G.P. is
Choose an answer
2.3
n-1
3.2
n
3.2
n+1
3.2
n-1
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Question # 5
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0
1
-1
2
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Question # 6
Rank of matrix [1 3 5 0] is
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1
3
2
4
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Question # 7
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a f(x) + c
f(x) + a
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Question # 8
A Geometric Series is divergent only if
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|r|>1
|r|≥1
|r|=1
None of these
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Question # 9
The product of complex numbers (a,b) and (c,d) is
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(ac, bd)
(ac-bd, ad+bc)
(ab,cd)
(ac+bd,ad-bc)
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Question # 10
The number of ways of arranging the letter AAAAA BBB CCC D EE F in a row when no two C's are together is
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Question # 11
The period of the function f(x) = sin
4
x + cos
4
x is
Choose an answer
π
π
/2
2
π
None of these
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Question # 12
Choose an answer
x = 3
x = 1/5
x = 0
None of these
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Question # 13
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
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Question # 14
sin(a-90°)=______;
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sina
cosa
-sinθ
-cosa
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Question # 15
Which of the following is not a unit vector
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[1, 1, 1]
[0, 1, 0]
[0, 0, 1]
[1, 0, 0]
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Question # 16
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Question # 17
The directrix of y2 =-4ax is
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y =-a
y = a
x = a
x = -a
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Question # 18
{x|x∈R∧x≠x} is a
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Infinite set
Null set
Finite set
None of these
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Question # 19
A function f is said to be an even if f(-x) =
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0
1
f(x)
-f(x)
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Question # 20
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Question # 21
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A.P.
G.P.
H.P.
None of these
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Question # 22
If the roots of ax
2
+ bx + c = 0 (a > 0) be greater than unity, then
Choose an answer
a + b + c = 0
a + b + c > 0
a + b + c < 0
None of these
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Question # 23
Sin-1(-x)=
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x
-x
-sin-1 x
cos-1 x
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Question # 24
Choose an answer
Principle of equality of fractions
Rule for product of fractions
Golden rule for fractions
Rule for quotient of fractions
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Question # 25
The probability that a person A will be alive 15 years hence is 5/7 and the probability that another person B will be alive 15 years hence is 7/9. Find the probability that both will be alive 15 years hence
Choose an answer
4/63
5/9
45/49
None of these
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Question # 26
sin (
α +
β)=
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sin
α
cos
β
- cos
α
sin
β
sin
α
cos
β
- cos
α
sin
β
sin
α
cos
α
- cos
β
sin
β
sin
α
cos
α
+ cos
β
sin
β
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Question # 27
Multiplying each side of an inequality by (-1) will:
Choose an answer
Not effect
Change the sign
Become zero
Not defined
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Question # 28
The transpose of a row matrix is a ______
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Zero matrix
Diagonal matrix
Column matrix
Row matrix
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Question # 29
A die is thrown 100 times. If getting an odd number is considered a success, the variance of the number of successes is
Choose an answer
50
25
10
100
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Question # 30
If distance of (a,b) from origin is 5 then
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a
2
+ b
2
=5
a = 5
b = 5
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Question # 31
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