Question # 1

All letters of the word "AGAIN" are permuted in all possible ways and the words so formed (with or without meaning) are written as in dictionary, then the 50th word is

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NAAGI

NAAIG

IAANG

INAGA

i¹⁰¹ =

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i

i²

-i

-1

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Two circles are said to be concentric if they have

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same radius

same chord

same centre

same diameter

The sum of all 2 digit number is

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4750

3776

4895

4905

What is the period of sin 2x/3 cos 4x=?

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π

2π

π/2

π/3

General solution of tan 5θ= cot 2θis

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if A = (x/x€ Q˄ 0 < x < 1}, the A is

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Infinite set

Finite set

Set of rational numbers

Set of real numbers

If y = 2x , then

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y1 -ln2y = 0

y2-(ln2)2 y = 0

y2-(ln2)y1 = 0

All are correct

How many 3 digit numbers can be formed by using each one of the digit 2, 3, 5, 7, 9 only once?

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15

24

60

120

Which of the vectors have opposite direction?

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The middle term in the expansion of (a +x)¹²is

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7th

8th

9th

6th

In a quadratic equation with leading co-efficient 1, a student reads the co-obtain the roots as - 15 and -4. The correct roots are

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6, 10

-6, -10

8, 8

-8, -8

The set of integer is

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Finite group

A group w.r.t addition

A group w.r.t multiplication

Not a group

If G is a G.M between a and b then a,G,b are in

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A.P

H.P

G.P

None of these

The value of sin²20° + sin²70° is equal to

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1

2

-1

1/2

Which of the following is not a solution of system of inequalities 2x- 3y ≤6,2x +y≥ 2,x +2y≤ 8, x≥ 0,y ≥ 0

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(1,0)

(0,4)

(3,0)

(8,0)

The arbitrary constants involving in the solution can be determined by the given conditions. Such conditions are called

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Boundaries

Variable separable

Initial values

None

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¹⁰C₆

¹⁰C₅

¹⁰C₄

None

If the roots of ax²+ bx + c =0 are equal in magnitude but opposite in sign, then

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a = 0

b = 0

c = 0

None of these

A subset of set of complex number whose elements are of the form (a,0) is called

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Real number

Complex number

Rational number

Irrational number

f(x) = ax + b will be an identity function if

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a = 1 , b = 1

a = 1 , b = 0

The nth term of a G.P. is

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a₁rⁿ

a₁rⁿ⁺¹

a₁r^n-1

a₁r^-n

√11 is

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an irrational number

Rational number

odd number

Negative number

Let A,B, and C be any sets such that A∪B = A∪C and A∩B = A∩C then

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A≠ C

B = C

A = B

A≠ B

The distance of the point (a,b) from y-axis is

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a

b

a + b

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Commutative law of multiplication

Closure law of multiplication

Associative law of multiplication

Multiplication identity

If a₁and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is

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0

a₁r^n-1

a₁rⁿ⁺¹

a₁rⁿ

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If A is a subset of B and B contains at least one element which is not an element of A, then A is said to be

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Improper subset of B

Super set of B

Proper subset of B

None of these

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0

1

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