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Online Tests

ECAT Pre General Science Mathematics Online Test MCQs With Answers

Question # 1

If|a| =|b|=|a + b|=1, then|a+ b| = 5, then|a-b| =

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4

6

5

3

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Question # 2

The roots of the equation will be irrational if b²- 4ac is

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Positive and perfect square

Positive but not a perfect square

Negative

Zero

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Question # 3

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4x + 1

4x

2x³

none of these

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Question # 4

Z is a

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Infinite set

Finite set

Singleton set

Set of all integers

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Question # 5

Two unbiased dice are thrown. The probability that the total score is > 5 is

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1 / 18

7 / 18

13 / 18

11 / 18

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Question # 6

The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)

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I & III

I & IV

II & IV

II & III

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Question # 7

H.M. between 3 and 7 is

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Question # 8

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Question # 9

cos 3a =_______;

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3sin a - 4sin3 a

4sin a - 3sin3 a

3cos3 a - 4cos a

4cos3a - 3cos a

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Question # 10

150°= ______

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Question # 11

If (1+x-2x³)⁶= 1+a₁x + a₂x²+ a₃x³+ ..... the the value of a₂+ a₄+ a₆+ .....+a₁₂will be

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32

31

64

1024

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Question # 12

1.4142135... is ______

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A natural number

A rational number

A prime number

An irrational number

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Question # 13

Multiplicative inverse of "1" is

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+- 1

0

1

None of these

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Question # 14

In polar form of complex number r =

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Question # 15

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a sec(ax + b) + c

- a sec(ax + b) + c

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Question # 16

The Principal value of sin-1 (-1/1/2)

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π/2

-π/2

π

-π

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Question # 17

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Question # 18

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 # 19

The 7th term of (3⁸ + 6⁴x)^11/4 is

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-19217/3 x⁶

189/2 6⁴x

2227/12 x³

-19712/3 x⁶

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Question # 20

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Question # 21

The parametric equation of a curve are x = t², y = t³then

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Question # 22

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Question # 23

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Question # 24

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0

1

1/2

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Question # 25

H₁, H₂, H₃, .... H_nare called n harmonic means between a and b if a, H₁, H₂, H₃, ... H_nb are in

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H.P.

G.P.

A.P.

None of these

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Question # 26

If distance between (a,2) and (0,0) is 2 then a = _______

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0

2

4

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Question # 27

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Question # 28

A matrix with a single row is called a

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Column matrix

Row matrix

Null matrix

Identity matrix

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Question # 29

64.A point (x, y, z) moves parallel to xy plane. Which of the three variables x, y, z remain fixed?

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z

x

y

x and y

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Question # 30

If a,b c are sides of a triangle taken in order then a x b =

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b x c

b x a

cxa

Both a & b

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Question # 31

The line through the centre and perpendicular to the transverse axis is called the

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Major axis

Minor axis

Focal axis

Conjugate axis

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