| 1 |
The number of diagonals of a six sided figure are |
9
6
12
3
|
| 2 |
If Cnr, Pnr = 24:1 then r = ? |
1
2
3
4
|
| 3 |
A die is thrown what is the probability that there is a prime number on the top? |
1/2
1/3
1/6
2/3
|
| 4 |
If A and B are two events then P(A∪B) =? (when A and B are disjoint) |
P(A) - P(B)
P(A) x P(B)
P(A) + P(B)
P(A) + P(B) -P(A∩B)
|
| 5 |
Two dice are rolled The number of possible out come in which at least one die shows 2 is? |
5
12
11
7
|
| 6 |
The number of ways in which we can courier 5 packets to 10 cities is |
2 x 5<sup>o</sup>
5<sup>10</sup>
10<sup>5</sup>
2<sup>10</sup>
|
| 7 |
The average of first 100 integers is= |
50 1/2
25 1/4
100
5050
|
| 8 |
Sum of integers starting from to n is |
n(n+1)/4
n(n+1)/6
n(n+1)/2
n(n-1)/2
|
| 9 |
The fifth term of the sequence an = 3n - 2 is |
3
-3
13
-13
|
| 10 |
A sequence of numbers whose reciprocals forms an arithmetic sequence is called |
Harmonic series
Arithmetic series
Harmonic sequence
Geometric sequence
|
| 11 |
Find the geometric mean between 4 and 16 |
7, 8
14, 4
28, 2
56, 1
|
| 12 |
The common difference of the sequence 7,4,1......is |
1
-3
5
0
|
| 13 |
Write the first four term of the arithmetic sequence if a1 = 5 and other three consecutive terms are 23,26,29 |
18 years
36 years
8 years
16 years
|
| 14 |
The difference of two consecutive terms of an A.P is called |
Zero
One
Four
Infinite
|
| 15 |
The sum of the interior angles for a 16 sided polygon is |
0
ω
1
1 / ω
|
| 16 |
If a and b are any two distinct negative real numbers and G-ab where A.G.H represent arithmetic geometric and harmonic means then |
1
ω<sup>2</sup>
ω
0
|
| 17 |
The sum of the series 1+5+9+13+17+21+25+29 is: |
10 cm
20 cm
30 cm
40 cm
|
| 18 |
The nth term in G.P 3,-6,12,............ is |
25, 20
20, 10
20, 5
15, 10
|
| 19 |
If the 9th tern of A.P is 8 and the 4th term is 20. then the first term is |
1
2
-2
-1
|
| 20 |
The nth term of A,P:1,5,9,15...........is given by |
4n - 3
4n + 1
3n -4
4n +3
|
| 21 |
The equation of two polynomials P(x)/Q(x) where Q(x) ≠ 0 with no common factor is called |
12
1
10
-10
|
| 22 |
Partial fraction of 1/x3-1 will be of the form |
Conjugate pair
ordered pair
reciprocal pair
quadratic function
|
| 23 |
A relation in which the equality is true only for some values of the unknown variable is called |
An identity
An equation
A polynomial
Inverse function
|
| 24 |
A fraction in which the degree of the numerator is less than the degree of the denominator is called |
1-i √-3 / 2
-1+i √-3 / 2i
-1+i √3 / 2
1+i √3 / 2
|
| 25 |
1/x2 -1 = ? (in case of making partial fraction) |
Ax +B/x<sup>2</sup> -1
A/x + B/ x- 1
A/ x+1 + B/x-1
None
|
| 26 |
x2 +2x -25 = 0 is |
1
2
3
4
|
| 27 |
(x+2)2 = x2 +4x +4 is |
1
2
3
4
|
| 28 |
x-1/(x+2)(x-2) = |
4/3(x-4) -1/3(x-1)
3/4(x+2) + 1/4(x-2)
2/3(x-2) - 4/3(x+2)
3/x - 2/x+1
|
| 29 |
2/(x+1)(x-1) = A/x+1 + B/x-1 corresponds to |
α = b/a and β = ca
α = a/b and β = -c/a
α<sup>2</sup> + β<sup>2</sup> = 1
α = -b/a and β= c/a
|
| 30 |
Which is a proper rational fraction |
3x - 7/x<sup>2</sup> +4
2x<sup>2</sup> - 5/x<sup>2</sup> + 4
3x<sup>4</sup>/2x<sup>2</sup> - 15
All are proper rational fraction
|
| 31 |
The two consecutive positive integers whose product is 56 are |
7, 8
14, 4
28, 2
56, 1
|
| 32 |
The sum of the ages of Nazish and his son is 56 years. Eight years ago. Nazish was 3 time as old as his son. How old is the son now? |
m = n
m ≠ n
mn = 1
mn = 0
|
| 33 |
The number of real roots in cube roots of 8 is ? |
n x m
m x n
km x n
m x kn
|
| 34 |
ωn = ?, when n = 3k |
0
ω
1
1 / ω
|
| 35 |
ω88 = ? |
A and B are multiplicative inverse of each other
A and B are additive inverses of each other
A and B are singular matrices
A and B are equal
|
| 36 |
The length of rectangle is twice as much as its breadth. If the perimeter is 120 cm, the length of the rectangle is |
Same as the original determinant
Additive inverse of the original determinant
Both A and B
Adj of the original matrix
|
| 37 |
Two natural numbers whose sum is 25 and difference is 5, are |
25, 20
20, 10
20, 5
15, 10
|
| 38 |
If the sum of the roots of (a + 1)x2 + (2a + 3)x + (3a + 4) = 0 is -1, then product of the roots is |
Commutative law w.r.t multiplication
Associative law w.r.t addition
Distributive law w.r.t addition
Multiplication of a scalar with the matrix
|
| 39 |
The value of the polynomial 3x3 + 4x2 - 5x + 4 at x = -1 is |
A<sup>2</sup> + B<sup>2</sup>
A<sup>2</sup> + B<sup>2 </sup>+ 2AB
A + B
A<sup>2</sup> + B<sup>2</sup> + AB+BA
|
| 40 |
Complex roots of real quadratic equation occur in |
Nilpotent matrix
Singular matrix
Non singular matrix
Diagonal matrix
|
| 41 |
The cube roots of unity ω = ------------------------- |
1-i √-3 / 2
-1+i √-3 / 2i
-1+i √3 / 2
1+i √3 / 2
|
| 42 |
One of the roots of the equation 2x2 + 3x + n = 0 is the reciprocal of the other, then n = -------------------- |
Both A,B have the same number of columns
Both A,B do not have the same order
Number of col A is same as number of rows of B
Number of rows of A is same as number of col of B
|
| 43 |
The degree of the polynomial 2x4 + 3x2 + 16x + 28 = x4 + 2x2 is |
[a<sub>ij - </sub>b<sub>ji</sub>]
[a<sub>ij - </sub>b<sub>ij</sub>]
[a<sub>ij - </sub>b<sub>ij</sub>]
[a<sub>ij] - [</sub>b<sub>ij</sub>]
|
| 44 |
If α and β be irrational roots of a quadratic equation, then |
α = b/a and β = ca
α = a/b and β = -c/a
α<sup>2</sup> + β<sup>2</sup> = 1
α = -b/a and β= c/a
|
| 45 |
An m x n matrix is said to be rectangular if |
Forms a group w.r.t. addition
Non commutative group w.r.t. multiplication
Forms a group w.r.t. multiplication
Doesn't form a group
|
| 46 |
If the order of A is n x m. Then order of kA is |
Forms a group
Does not form a group
Contains no additive identity
Contains no additive inverse
|
| 47 |
If A and B are matrices such that AB=BA=I then |
A and B are multiplicative inverse of each other
A and B are additive inverses of each other
A and B are singular matrices
A and B are equal
|
| 48 |
If any two rows (or any two columns) of a square matrix are inter changed, the determinant of the resultant matrix is |
True
False
Fallacious
Some times true
|
| 49 |
In general matrices do not satisfy |
Not a group
A group w.r.t. subtraction
A group w.r.t. division
A group w.r.t. multiplication
|
| 50 |
If A and B are matrices of same order than (A + B)(A + B)= |
addition
multiplication
subtraction
None
|
| 51 |
If |A| ≠ 0 then A is called |
1
-1
±1
0
|
| 52 |
Two matrices A and B are conformable for multiplication (AB) if and only if |
Addition
Multiplication
Division
Subtraction
|
| 53 |
If A = [aij] and b = [bij] are the matrices of the order 3x3 then A-B= |
Circle
Ellipse
Parabola
Hexagon
|
| 54 |
The set (Z, +) forms a group |
Function on B
Range
Domain
A into B
|
| 55 |
The set (Q, .) |
Infinite set
Singleton set
Two points set
None
|
| 56 |
The statement that a group can have more than one identity elements is |
True
False
Fallacious
Some times true
|
| 57 |
The set of all positive even integers is |
Φ
{1,2,3}
{Φ}
{0}
|
| 58 |
The set {1, -1, i, -i}, form a group under |
addition
multiplication
subtraction
None
|
| 59 |
The multiplicative inverse of -1 in the set {1-,1} is |
40
30
50
20
|
| 60 |
The set of complex numbers forms a group under the binary operation of |
0
±1
1
{0,1}
|
| 61 |
The graph of a quadratic function is |
Circle
Ellipse
Parabola
Hexagon
|
| 62 |
The set of the first elements of the ordered pairs forming a relation is called its |
-x
does not exist
1/x
0
|
| 63 |
The set { {a,b} } is |
{X/X∈ A∧x ∈ U}
{X/X∉ A∧x ∈ U}
{X/X∈ A and x ∉ U}
A-U
|
| 64 |
Which of the following is the subset of all sets ? |
A ≠ C
B = C
A = B
A ≠ B
|
| 65 |
In a school, there are 150 students. Out of these 80 students enrolled for mathematics class, 50 enrolled for English class, and 60 enrolled for Physics class. The student enrolled for English cannot attend any other class, but the students of mathematics and Physics can take two courses at a time. Find the number of students who have taken both physics and mathematics. |
40
30
50
20
|
| 66 |
Multiplicative inverse of "1" is |
4
3
2
1
|
| 67 |
The multiplicative inverse of x such that x = 0 is |
-x
does not exist
1/x
0
|
| 68 |
The complement of set A relative to universal set U is the set |
X
X
φ
Universal set
|
| 69 |
Let A, B, and C be any sets such that A∪B=A∪C and A∩B=A∩C then |
A ≠ C
B = C
A = B
A ≠ B
|
| 70 |
Given X, Y are any two sets such that number of elements in X=28, number of elements in set Y=28, and number of elements in set X∪Y=54, then number of elements in set X∩Y= |
-7 + 2i
7 + 2i
7-2i
√53
|
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