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Online Tests

ECAT Pre General Science Mathematics Online Test MCQs With Answers

Question # 1

Sin 45° = ______

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Question # 2

The third term in the expansion of (1+2x) is

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-2x2

-4x2

2x2

4x2

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Question # 3

The smallest positive root of the equation tan x - x = 0 lies on

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Question # 4

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none of these

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Question # 5

Power set of difference set N-W is

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Empty set

Infinite set

Singleton set

{0,∅}

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Question # 6

pth term of an H.P. is qr and qth term is pr then the rth term of the H.P. is

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pqr

1

pq

pqr²

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Question # 7

The angle of elevation of the tops of two towers at the middle point of the line joining the foots of the tower are 60^οand 30^οrespectively. The the ratio of the heghts of the tower is

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2 : 1

3 : 1

1 : 2

1 : 3

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Question # 8

The tangents drawn from the point P to a circle are imaginary if

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P is on the circle

P is inside the circle

P is outside the circle

none of these

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Question # 9

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 # 10

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-1

0

1

undefined

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Question # 11

The line y= 4x +c touches the hyperbola x2- y2 =1 if and only if

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c =±√2

c =0

c=±√17

c=±√15

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Question # 12

∀a,b, c ε R,a +c = b + c = > a = b

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Reflexive property

Symmetric property

Cancellations property w.r.t. addition

Transitive property

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Question # 13

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(2x+a+b+c)

(a+b+c)

(a+b+c+x)

0

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Question # 14

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Question # 15

If a, b, c, d, e, f are in A.P.,then e-c is equal to

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2(c - a)

2(f - d)

2(d - c)

d - c

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Question # 16

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6x - 2 + c

x³- x²+ x + c

6x - x²+ c

6x³- x²+ c

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Question # 17

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Question # 18

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Question # 19

P∉ A means

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Pis subset of A

Pis an element of A

P does not belongs to A

A does not element of P

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Question # 20

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-cosec²x

-sec²x

- cosec x cot x

cosec x

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Question # 21

If f(x) = ax², and a>0, then the lowest point on the parabola is called.

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Vertex of parabola

Co-ordinates of parabola

Roots of the equation

Coefficient of the equation

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Question # 22

The additive inverse of a matrix A is

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None of these

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Question # 23

f(x) = x is

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trigonometric function

exponential function

quadratic function

identify function

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Question # 24

The probability that a slip of number divisible by 4 is picked from the slips bearing numbers 1, 2, 3, ...10 is

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1/5

1/4

1/3

1/2

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Question # 25

Corner point of the system x - y≤ 2,x + y≤ 4,2x -y≤ 6,x≥ 0,y≥ 0

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(1,4)

(4,2)

(3,1)

(4,1)

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Question # 26

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0

1

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Question # 27

Root of the equation 3^x-1+ 3^1-x= is

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2

1

0

-1

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Question # 28

The st. lines whose direction cosines satisfy al + bm + cn = 0, fmn + gnl + hlm=0 are perpendicular if

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Question # 29

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Question # 30

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Question # 31

Area of inscribed circle is

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π R2

π η2

π r22

π r2

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