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Online Tests

ECAT Pre General Science Mathematics Online Test MCQs With Answers

Question # 1

Choose an answer

Next

Question # 2

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2 and 9

3 and 2

2/3 and 9

3/2 and 6

Next

Question # 3

The point which divides the line segment joining the points (a, b) and (c, d) in the ratio 2 : 3 internally is

Choose an answer

none of these

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Question # 4

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- cos x

sin x

- sin x

sec x

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Question # 5

The equation of the tangent at vertex to the parabola is y2 = -8(x -3)

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y=0

x=3

x=1

x=5

Next

Question # 6

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Next

Question # 7

If n € N , then n(n+3) is always

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Multiple of 3

Multiple of 6

odd

even

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Question # 8

The slope of the normal at (5 cos, 0, 5 sin 0) to the circle. x²+y² = 25 is:

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tan𝜽

cos𝜽 /sin𝜽

-cot𝜽

- tan𝜽

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Question # 9

If s = 2t³- 3t²+ 15t - 8 is the equation of motion of a particle, then its initial velocity is

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8

15

-6

None

Next

Question # 10

Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4 and then the men select the chairs from amongst the remaining. The number of possible arrangement is

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⁶C₃x ⁴C₂

⁴C₂x ⁴P₃

⁴P₂x ⁶P₃

None of these

Next

Question # 11

Choose an answer

none of these

Next

Question # 12

If A(a,b) lies on 3x +2y =13 and point B(b,a) lies on x-y =5 then equation of AB is

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x- y= 5

x+ y+ =5

x+ y= -5

5x +5y =21

Next

Question # 13

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0

U

u/2

log u

Next

Question # 14

If a₁= a₂= 2, a_n= a_n-1- 1 (n > 2), then a₅is

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1

0

-1

-2

Next

Question # 15

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Next

Question # 16

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0

2

4/3

5/3

Next

Question # 17

The familiar plane curves, namely circle, ellipse, parabola and hyperbola are called:

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cones

conics

nappes

apex

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Question # 18

If f(x) = (-x)²then f(-2) is

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0

2

-4

4

Next

Question # 19

What is the value of cos-1(1/2)?

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π/3

π/4

3π/2

π/6

Next

Question # 20

The two lines y = 2x and x =2y are

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Parallel

Perpendicular

Equally inclined with axes

Congruent

Next

Question # 21

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a₁+ a₂

a²₁+ a²₂

Next

Question # 22

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Next

Question # 23

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

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0

2

4

Next

Question # 24

The number of words that can be formed out of the letters of the word ASSASSINATION is

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Next

Question # 25

Range of y = sec x is

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-1≤ y≤ 1

y≥ 1 or y≤ -1

y≤ 1or y≥ -1

-∞ < y < +∞

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Question # 26

The numbers of G₁, G₂, G₃...... G_nare called n geometric means between a and b is a, G₁, G_2,G₃, ... G_n, b are in

Choose an answer

H.P.

A.P.

G.P.

None of these

Next

Question # 27

The term independent of x is the expansion (x³+1/x)¹²

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295

495

395

722

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Question # 28

If T = {2,4,6,8,10,12}, then

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T = (First six natural numbers)

T = (First six odd numbers)

T = (First six real numbers)

T = ( First six even numbers)

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Question # 29

tan h x = _________

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Next

Question # 30

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2x

3x²

1

0

Next

Question # 31

cotθ= sin 2θifθ=

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