1. A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is:
A. [latex]\frac{1}{13}[/latex]
B. [latex]\frac{1}{11}[/latex]
C. [latex]\frac{1}{26}[/latex]
D.
[latex]\frac{1}{14}[/latex]
Answer: Option C
Explanation:
Here, n(S) = 52.
Let E = event of getting a queen of the club or a king of heart.
Then, n(E) = 2.
P(E) = [latex]\frac{n(E)}{n(S)}[/latex]
= [latex]\frac{2}{52}[/latex]
= [latex]\frac{1}{26}[/latex]
2. A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is:
A. [latex]\frac{3}{20}[/latex]
B. [latex]\frac{29}{34}[/latex]
C. [latex]\frac{47}{100}[/latex]
D. [latex]\frac{13}{102}[/latex]
Answer: Option D
Explanation:
Let S be the sample space.
Then, n(S) = [latex]{52}_{{C}_{2}}[/latex] = [latex]\frac{52 × 51}{2 × 1}[/latex] = 1326.
Let E = event of getting 1 spade and 1 heart.
n(E) = number of ways of choosing 1 spade out of 13 and 1 heart out of 13
[latex]{14}_{{C}_{1}}[/latex] X [latex]{13}_{{C}_{1}}[/latex]
= 13 X 13
= 169
= [latex]\frac{n(E) }{n(S) }[/latex] = [latex]\frac{169}{1326) }[/latex]
= [latex]\frac{13 }{102 }[/latex]
3. If A and B matrices are of same order and A + B = B + A, this law is known as
A. distributive law
B. commutative law
C. associative law
D. cramer's law
Answer: Option B
4. A pair of equations to determine value of 2 variables is called
A. simultaneous linear equations
B. paired equations
C. quadratic equations
D. simple equations
Answer: Option A
5. If a matrix has equal number of columns and rows then it is said to be a
A. row matrix
B. identical matrix
C. square matrix
D. rectangular matrix
Answer: Option C
6. If determinant of a matrix is equal to zero, then it is said to be
A. square matrix
B. singular matrix
C. non-singular matrix
D. non-singular matrix
Answer: Option B
7. We can add two matrices having real numbers A and B if their
A. order is same
B. rows are same
C. columns are same
D. elements are same
Answer: Option A
8. If the order of matrix A is m×p. And the order of B is p×n. Then the order of matrix AB is ?
A. n × p
B. m × n
C. n × p
D. n × m
Answer: Option B
9. Select a suitable figure from the four alternatives that would complete the figure matrix.
Answer: Option D
Explanation:
The third figure in each row comprises of parts which are not common to the first two figures.
10. Select a suitable figure from the four alternatives that would complete the figure matrix.
Answer: Option B
Explanation:
In each row, the second figure is obtained from the first figure by adding two mutually perpendicular line segments at the center and the third figure is obtained from the first figure by adding four circles outside the main figure.
11. Select a suitable figure from the four alternatives that would complete the figure matrix.
Answer: Option B
Explanation:
12. Select a suitable figure from the four alternatives that would complete the figure matrix.
Answer: Option B
Explanation:
13. Select a suitable figure from the four alternatives that would complete the figure matrix.
Answer: Option A
Explanation:
In each row, the third figure comprises of a black circle and only those line segments which are not common to the first and the second figures.
14. Select a suitable figure from the four alternatives that would complete the figure matrix.
Answer: Option C
Explanation:
In each column, the second figure (middle figure) is obtained by removing the upper part of the first figure (uppermost figure) and the third figure (lowermost figure) is obtained by vertically inverting the upper part of the first figure.
15. Select a suitable figure from the four alternatives that would complete the figure matrix.
Answer: Option C
Explanation:
The third figure in each row comprises of the parts common to the first two figures.
Introduction 
