Question # 1

If w is a cube root of unity then 1 + w + w²= ______

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1

2

0

-1

In R the left cancellation property w.r.t addition is

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If distance between (3,b) and (0,0) is 3 then b = _______

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3

9

0

Which term of the A.P 5,8,11,24.............is 320

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104th

106th

105th

64th

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If a and b are real numbers then a+b is also real number this law is called

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associative law of addition

closure law of addition

Distributive law of addition

Commutative law of addition

In triangle ABC, in which b=95, c=34, a =52^𝜊then the value of a=

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18 cm

18.027 cm

20.7 cm

19 cm

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3 x 2

2 x 3

3 x 3

2 x 2

The roots of ax2+bx+c=0 are

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Rational ⇔ b2 -4 ac ≥ 0

Irrational ⇔ b2-4 ac > 0

Real ⇔ b2-4 ac ≠ 0

Rational⇔ b2-4 ac = 0

If t is the parameter for one end of a focal chord of the parabola y²= 4ax, then its length is

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The inclination of a line parallel to x-axis is

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If three unequal numbers p, q, r are in H.P. and their squares are in A.P., then the ration p : q : r is

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n!/(n-1)!=

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n

n!

(n-1)!

0!

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π

2π

π/2

None of these

If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that

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x is function of y

y is a function of x

y is independent variable

x is real valued function

The conjugate of √5 i is

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√5

-√5 i

i

5i

Find the sum of the infinite geometric series 2 + 1 + 0.5 + ....

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3.5

3

4

None of these

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2s²

2s³

s³

3s³

If the circumference of a circle is divided into 360 congruent parts, the angle subtended by one part at the centre of the circle is

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1⁰

1'

1"

1 rad

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If a, b, c are in A.P., then 3^a, 3^b, 3^care in

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A.P.

G.P.

H.P.

None of these

Two matrices A and B are conformable for the product AB if

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Both A and B are square

Both A and B are symmetric

Number of rows of A = number of columns of B

Number of columns of A = number of rows of B

Six boys and 3 girls are to be seated at random, in a row, for a photograph. The probability that no two girls will sit together is

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1/12

1/6

5/12

7/12

The statement that a group can have more than one identity elements is

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True

False

Fallacious

Some times true

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G.P

H.P.

A.P.

No particular sequence

A function which is to be maximized or minimized is called an

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Explicit function

Implicit function

Objective function

None

The coordinates of the point that divides the join of A(-6,3) and B(5, -2) in the ratio 2:3 internally

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i is equal

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(1 , 0)

(0 , 1)

(1 , 1)

(0 , 0)

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sin x + c

-sin x + c

cos x + c

-cos x + c

If the roots of 3x2+kx + 12 = 0 are equal then k = ______

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