Question # 1

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

The set of first elements of the ordered pairs in a relation is called its

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domain

range

relation

function

If a polynomial P(x) is divided by x + a, then the remiander is

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P(a)

P(-a)

P(0)

None of these

s > t then

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(s - t)²> (t - s)²

(s - t)²< (t - s)²

(s - t)²= (t - s)²

None

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The sum of an indicated number of terms in a sequence is called

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sequence

progression

Series

Mean

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A

0

Unit vector

None

If the roots of ax²+ bx + c = 0 (a > 0) be greater than unity, then

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a + b + c = 0

a + b + c > 0

a + b + c < 0

None of these

A = B iff

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All elements of A also the elements of B

A and B should be singleton

A and B have the same number of elements

If both have the same element

The circle (x - 2)²+ (y + 3)²= 4 is not concentric with the circle

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(x - 2)²+ (y + 3)²= 9

(x + 2)²+ (y - 3)²= 4

(x + 2)²+ (y - 3)²= 8

(x - 2)²+ (y + 3)²= 5

If b₁, b₂, b₃, ... are in G.P. with first term unity and common ratio r, then the minimum value of b₁- b₃+ b₅is equal to

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3/4

1/4

1

None of these

√2 is a number

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Rational

Irrational

Even

Odd

Inverse of the function y-10x is

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y=logx

y=lnx

x=10y

If n is any positive integer ,t hen 2+4+6+......+2 n=

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2ⁿ-1

2ⁿ+1

n²+1

n(n+1)

Three consecutive terms of a progression are 30, 24, 20. The next terms of the progression is

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If the focus lies on the y-axis with coordinates f(0,a) and directrix of the parabola is y = -a, the equation of parabola is:

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y² = -4 ax

x² = 4ay

x² = -4ay

y² = 4ax

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none of these

Domain of cos x is ______

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all

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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The identity element with respect to subtraction is

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0

-1

0 and 1

None of thes

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The domain of f(x) = log x is

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[0,∞]

(0,∞)

[0,∞[

[∞,∞]

The sum of the squares of three distinct real numbers, which are in G.P., is S². if their sum isαS then

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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

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A fraction in which the degree of the numerator is less than the degree of the denominator is called

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Polynomial

Equation

Proper fraction

Improper fraction

Range of 3 sin x is ______

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[ -3, 3]

[-1, 1]

R

None of these

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x-axis

y-axis

z-axis

None of these

If A and B are two matrices such that AB = B and BA = A then A2 + B2 =

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2 AB

2 BA

A + B

AB

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