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All questions of CBSE New Pattern: Term I Practice Questions for Commerce Exam
A teacher conducted a surprise test of Mathematics, Physics and Chemistry for class XI on Monday.The mean and standard deviation of marks obtained by 50 students of the class in three subjects are given below:
Q. What is the coefficient of variation of marks obtained by the students in Mathematics?- a)28.57
- b)46.87
- c)48.89
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
A teacher conducted a surprise test of Mathematics, Physics and Chemistry for class XI on Monday.
The mean and standard deviation of marks obtained by 50 students of the class in three subjects are given below:
Q. What is the coefficient of variation of marks obtained by the students in Mathematics?
a)
28.57
b)
46.87
c)
48.89
d)
none of these
|
Ananya Das answered |
Standard deviation of Mathematics = 12
The coefficient of variation,
C.V. (in Mathematics) = 12/42 x 100 = 28.57
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A Relation R from A to B can be depicted pictorially using arrow diagram. In arrow diagram, we write down the elements of two sets A and B in two disjoint circles. Then we draw arrow from set A to set B whenever (a, b) ∈ R. An example of information depicted through an arrow diagram is shown below. For example:A company has four categories of employees given by Assistants (A), Clerks (C), Managers (M) and an Executive Officer (E). The company provides ₹10,000, ₹25,000, ₹50,000 and ₹1,00,000 as salaries to the people who work in the categories A, C, M and E respectively. Here A1, A2, A3, A4 and A5 are Assistants; C1, C2, C3, C4 are Clerks; M1, M2, M3 are Managers and E1, E2 are Executive Officers then the relation R is defined by xRy, where x is the salary given to person y.
The relation defined in the above arrow diagram from set P to set Q is- a)“x is a square of y”
- b)“x is a square root of y”
- c)“x is a cube root of y”
- d)None
Correct answer is option 'A'. Can you explain this answer?
A Relation R from A to B can be depicted pictorially using arrow diagram. In arrow diagram, we write down the elements of two sets A and B in two disjoint circles. Then we draw arrow from set A to set B whenever (a, b) ∈ R. An example of information depicted through an arrow diagram is shown below. For example:
A company has four categories of employees given by Assistants (A), Clerks (C), Managers (M) and an Executive Officer (E). The company provides ₹10,000, ₹25,000, ₹50,000 and ₹1,00,000 as salaries to the people who work in the categories A, C, M and E respectively. Here A1, A2, A3, A4 and A5 are Assistants; C1, C2, C3, C4 are Clerks; M1, M2, M3 are Managers and E1, E2 are Executive Officers then the relation R is defined by xRy, where x is the salary given to person y.
The relation defined in the above arrow diagram from set P to set Q is
a)
“x is a square of y”
b)
“x is a square root of y”
c)
“x is a cube root of y”
d)
None
|
Nandini Iyer answered |
When x = 9, y = ±3
When x = 4, y = ±2
When x = 25, y = ±5
∴ x is a square of y.
A parking lot in an IT company is triangular shaped with two of its vertices at B(–2, 0) and C(1, 12). The third vertex A is at the midpoint of the line joining the points (1, 1) and (3, 11).
Q. Find the coordinates of A.- a)(–1, –5)
- b)(2, 6)
- c)(1, –1)
- d)(–2, –6)
Correct answer is option 'B'. Can you explain this answer?
A parking lot in an IT company is triangular shaped with two of its vertices at B(–2, 0) and C(1, 12). The third vertex A is at the midpoint of the line joining the points (1, 1) and (3, 11).
Q. Find the coordinates of A.
a)
(–1, –5)
b)
(2, 6)
c)
(1, –1)
d)
(–2, –6)
|
Pioneer Academy answered |
A is the midpoint of line segment joining (1, 1) and (3, 11). By midpoint formula,
= (2, 6)
A parking lot in an IT company is triangular shaped with two of its vertices at B(–2, 0) and C(1, 12). The third vertex A is at the midpoint of the line joining the points (1, 1) and (3, 11).
Q. Find the equation of line that passes through the points B(–2, 0) and C(1, 12).- a)y + 4x = 8
- b)4x – y – 8 = 0
- c)4x – y + 8 = 0
- d)4y – 4x = 8
Correct answer is option 'C'. Can you explain this answer?
A parking lot in an IT company is triangular shaped with two of its vertices at B(–2, 0) and C(1, 12). The third vertex A is at the midpoint of the line joining the points (1, 1) and (3, 11).
Q. Find the equation of line that passes through the points B(–2, 0) and C(1, 12).
a)
y + 4x = 8
b)
4x – y – 8 = 0
c)
4x – y + 8 = 0
d)
4y – 4x = 8
|
Varun Kapoor answered |
Equation of line through B(–2, 0) and C(1, 12) is given by
4x – y + 8 = 0
An analysis of monthly wages paid to workers in two firms A and B, belonging to the same industry, gives the following results:
Q. Coefficient of variation of the distribution of wages for firm A- a)0.15
- b)0.19
- c)0.21
- d)0.24
Correct answer is option 'B'. Can you explain this answer?
An analysis of monthly wages paid to workers in two firms A and B, belonging to the same industry, gives the following results:
Q. Coefficient of variation of the distribution of wages for firm A
a)
0.15
b)
0.19
c)
0.21
d)
0.24
|
Raghav Bansal answered |
Variance of distribution of wages,
σ2 = 100
Standard deviation, σ = √σ2
= √100
= 10
coefficient of Variation
An analysis of monthly wages paid to workers in two firms A and B, belonging to the same industry, gives the following results:
Q. Which firm A or B shows greater variability in individual wages?- a)Firm B
- b)Firm A
- c)Both
- d)Can’t Say
Correct answer is option 'A'. Can you explain this answer?
An analysis of monthly wages paid to workers in two firms A and B, belonging to the same industry, gives the following results:
Q. Which firm A or B shows greater variability in individual wages?
a)
Firm B
b)
Firm A
c)
Both
d)
Can’t Say
|
Geetika Shah answered |
Coefficient of variation of wages, of firm A = 0.19
coefficient of variation of wages, of firm
∴ Firm B shows greater variability in individual wages.
A teacher conducted a surprise test of Mathematics, Physics and Chemistry for class XI on Monday.The mean and standard deviation of marks obtained by 50 students of the class in three subjects are given below:
Q. What is the coefficient of variation of marks obtained by the students in Physics?- a)28.57
- b)46.87
- c)48.89
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
A teacher conducted a surprise test of Mathematics, Physics and Chemistry for class XI on Monday.
The mean and standard deviation of marks obtained by 50 students of the class in three subjects are given below:
Q. What is the coefficient of variation of marks obtained by the students in Physics?
a)
28.57
b)
46.87
c)
48.89
d)
none of these
|
Tanuja Kapoor answered |
Standard deviation of Physics = 15
The coefficient of variation,
C.V. (in Physics) = 15/32 × 100 = 46.87
A man deposited ₹10000 in a bank at the rate of 5% simple interest annually.
Q. What is the amount paid by him after 15th year?- a)₹17000
- b)₹20000
- c)₹15000
- d)₹21000
Correct answer is option 'A'. Can you explain this answer?
A man deposited ₹10000 in a bank at the rate of 5% simple interest annually.
Q. What is the amount paid by him after 15th year?
a)
₹17000
b)
₹20000
c)
₹15000
d)
₹21000
|
|
Neha Sharma answered |
The amount in the account of a man in the first, second and third year are ₹ 10000, ₹10500, ₹11000, ……
It is an A.P., where a = 10000 and d = 500
Amount in 15th yr = T15
a + 14d
= 10000 + 14 × 500
= 10000 + 7000 = ₹17000
The derivative of y with respect to x is the change in y with respect to a change in x.The derivative of f(x) at x0 is given by
Q. Derivative of sin x with respect to x is ..........- a)sin x
- b)cos x
- c)–sin x
- d)–cos x
Correct answer is option 'B'. Can you explain this answer?
The derivative of y with respect to x is the change in y with respect to a change in x.
The derivative of f(x) at x0 is given by
Q. Derivative of sin x with respect to x is ..........
a)
sin x
b)
cos x
c)
–sin x
d)
–cos x
|
|
Anjali Sharma answered |
Derivative of sin x with respect to x is cos x.
A man deposited ₹10000 in a bank at the rate of 5% simple interest annually.
Q. What is the amount paid by him after the 20th year?- a)₹17000
- b)₹20000
- c)₹25000
- d)₹21000
Correct answer is option 'B'. Can you explain this answer?
A man deposited ₹10000 in a bank at the rate of 5% simple interest annually.
Q. What is the amount paid by him after the 20th year?
a)
₹17000
b)
₹20000
c)
₹25000
d)
₹21000
|
|
Neha Sharma answered |
Amount after 20 yr = 10000 +20 × 500
= 10000 + 10000 = ₹20000
A teacher conducted a surprise test of Mathematics, Physics and Chemistry for class XI on Monday.The mean and standard deviation of marks obtained by 50 students of the class in three subjects are given below:
Q. What is the coefficient of variation of marks obtained by the students in Chemistry?- a)28.57
- b)46.87
- c)48.89
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
A teacher conducted a surprise test of Mathematics, Physics and Chemistry for class XI on Monday.
The mean and standard deviation of marks obtained by 50 students of the class in three subjects are given below:
Q. What is the coefficient of variation of marks obtained by the students in Chemistry?
a)
28.57
b)
46.87
c)
48.89
d)
none of these
|
|
Ananya Das answered |
Standard deviation of Chemistry = 20
C.V. (in Chemistry) = 20/40.9 x 100 = 48.89
A Relation R from A to B can be depicted pictorially using arrow diagram. In arrow diagram, we write down the elements of two sets A and B in two disjoint circles. Then we draw arrow from set A to set B whenever (a, b) ∈ R. An example of information depicted through an arrow diagram is shown below. For example:A company has four categories of employees given by Assistants (A), Clerks (C), Managers (M) and an Executive Officer (E). The company provides ₹10,000, ₹25,000, ₹50,000 and ₹1,00,000 as salaries to the people who work in the categories A, C, M and E respectively. Here A1, A2, A3, A4 and A5 are Assistants; C1, C2, C3, C4 are Clerks; M1, M2, M3 are Managers and E1, E2 are Executive Officers then the relation R is defined by xRy, where x is the salary given to person y.
The relation defined in the above arrow diagram from set A to set B is- a)“x = 2y”
- b)“x is a square of y”
- c)“x is a factor of y”
- d)None
Correct answer is option 'C'. Can you explain this answer?
A Relation R from A to B can be depicted pictorially using arrow diagram. In arrow diagram, we write down the elements of two sets A and B in two disjoint circles. Then we draw arrow from set A to set B whenever (a, b) ∈ R. An example of information depicted through an arrow diagram is shown below. For example:
A company has four categories of employees given by Assistants (A), Clerks (C), Managers (M) and an Executive Officer (E). The company provides ₹10,000, ₹25,000, ₹50,000 and ₹1,00,000 as salaries to the people who work in the categories A, C, M and E respectively. Here A1, A2, A3, A4 and A5 are Assistants; C1, C2, C3, C4 are Clerks; M1, M2, M3 are Managers and E1, E2 are Executive Officers then the relation R is defined by xRy, where x is the salary given to person y.
The relation defined in the above arrow diagram from set A to set B is
a)
“x = 2y”
b)
“x is a square of y”
c)
“x is a factor of y”
d)
None
|
Preeti Iyer answered |
1,2,4 and 8 are factors of 8.
Shamshad Ali buys a scooter for ₹ 22,000. He pays ₹ 4,000 cash and agrees to pay the balance in annual instalments of ₹1000 plus 10% interest on the unpaid amount.
Q. Total interest paid by Ali is:- a)₹17100
- b)₹22000
- c)₹39100
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
Shamshad Ali buys a scooter for ₹ 22,000. He pays ₹ 4,000 cash and agrees to pay the balance in annual instalments of ₹1000 plus 10% interest on the unpaid amount.
Q. Total interest paid by Ali is:
a)
₹17100
b)
₹22000
c)
₹39100
d)
none of these
|
|
Tanuja Kapoor answered |
Total interest paid by him
= 1800 + 1700 + 1600 + .... + 18 terms
which is an A.P. with a = 1800, d = 1700 – 1800
= – 100
Therefore, total interest
= 9(3600 – 1700) = 9 × 1900 = 17100
A man deposited ₹10000 in a bank at the rate of 5% simple interest annually.
Q. What is the amount paid by him after 1st year?- a)₹10500
- b)₹500
- c)₹11500
- d)₹1500
Correct answer is option 'A'. Can you explain this answer?
A man deposited ₹10000 in a bank at the rate of 5% simple interest annually.
Q. What is the amount paid by him after 1st year?
a)
₹10500
b)
₹500
c)
₹11500
d)
₹1500
|
Hansa Sharma answered |
Interest on ₹10000 after 1 yr.
Therefore, amount after 1 yr
= 10000 + 500
= 10500
An analysis of monthly wages paid to workers in two firms A and B, belonging to the same industry, gives the following results:
Q. Amount paid by firm B is- a)3078258
- b)3043944
- c)3708258
- d)3403944
Correct answer is option 'D'. Can you explain this answer?
An analysis of monthly wages paid to workers in two firms A and B, belonging to the same industry, gives the following results:
Q. Amount paid by firm B is
a)
3078258
b)
3043944
c)
3708258
d)
3403944
|
|
Geetika Shah answered |
No. of wage earners = 648
Mean of monthly wages, x = ₹5253
Amount paid by firm B = 648 × 5253
= ₹3403944
A line 'l' passes through the points A and B in the coordinate axes as shown in the figure.
Q. Circumcenter of ΔAOB is at ...............- a)(6, 0)
- b)(0, 4)
- c)(2, 3)
- d)(3, 2)
Correct answer is option 'D'. Can you explain this answer?
A line 'l' passes through the points A and B in the coordinate axes as shown in the figure.
Q. Circumcenter of ΔAOB is at ...............
a)
(6, 0)
b)
(0, 4)
c)
(2, 3)
d)
(3, 2)
|
|
Raghav Bansal answered |
ΔAOB is a right angled triangle. Circumcenter of a right angled triangle is the midpoint of the hypotenuse.
Circumcenter of ΔAOB = midpoint of AB
A man deposited ₹10000 in a bank at the rate of 5% simple interest annually.
Q. What is the amount paid by him after 3rd year?- a)₹10500
- b)₹500
- c)₹11500
- d)₹20000
Correct answer is option 'C'. Can you explain this answer?
A man deposited ₹10000 in a bank at the rate of 5% simple interest annually.
Q. What is the amount paid by him after 3rd year?
a)
₹10500
b)
₹500
c)
₹11500
d)
₹20000
|
|
Hansa Sharma answered |
Interest on ₹10000 after 3 yr
∴ Amount after 3 yr = 10000 + 1500
= ₹11500
A number of the form Z = x + iy, where x and y are real and i = √−1 is called a complex number. Consider the complex number Z1 = 2 + 3i and Z2 = 4 – 3i.
Q. Imaginary part of Z1 – Z2 is .............- a)6i
- b)6
- c)-2
- d)-2i
Correct answer is option 'B'. Can you explain this answer?
A number of the form Z = x + iy, where x and y are real and i = √−1 is called a complex number. Consider the complex number Z1 = 2 + 3i and Z2 = 4 – 3i.
Q. Imaginary part of Z1 – Z2 is .............
a)
6i
b)
6
c)
-2
d)
-2i
|
|
Anjali Sharma answered |
Z1 – Z2 = (2 + 3i) – (4 – 3i)
= –2 + 6i
Imaginary part = 6
A line 'l' passes through the points A and B in the coordinate axes as shown in the figure.
Q. Equation of AB is ................- a)3x + 2y = 12
- b)2x + 3y = 12
- c)3x – 2y = 12
- d)2x – 3y = 12
Correct answer is option 'B'. Can you explain this answer?
A line 'l' passes through the points A and B in the coordinate axes as shown in the figure.
Q. Equation of AB is ................
a)
3x + 2y = 12
b)
2x + 3y = 12
c)
3x – 2y = 12
d)
2x – 3y = 12
|
|
Preeti Iyer answered |
Equation of AB is x/6 + y/4 = 1
⇒ 2x + 3y = 12
Consider the graphs of the functions f(x), h(x) and g(x).
The range of g(x) is ................- a)R
- b)[–1, 1]
- c){–1, 0, 1}
- d)Z
Correct answer is option 'C'. Can you explain this answer?
Consider the graphs of the functions f(x), h(x) and g(x).
The range of g(x) is ................
a)
R
b)
[–1, 1]
c)
{–1, 0, 1}
d)
Z
|
|
Preeti Iyer answered |
g(x) is the signum function. Its range is {–1, 0, 1}.
A number of the form Z = x + iy, where x and y are real and i = √−1 is called a complex number. Consider the complex number Z1 = 2 + 3i and Z2 = 4 – 3i.
Q. Imaginary part of Z2 is ...............- a)3
- b)-3
- c)3i
- d)-3i
Correct answer is option 'B'. Can you explain this answer?
A number of the form Z = x + iy, where x and y are real and i = √−1 is called a complex number. Consider the complex number Z1 = 2 + 3i and Z2 = 4 – 3i.
a)
3
b)
-3
c)
3i
d)
-3i
|
|
Ananya Das answered |
Imaginary part of Z2 is -3.
Consider the graphs of the functions f(x), h(x) and g(x).
The range of h(x) is .......................- a)R
- b)[–1, 1]
- c){–1, 0, 1}
- d)Z
Correct answer is option 'D'. Can you explain this answer?
Consider the graphs of the functions f(x), h(x) and g(x).
The range of h(x) is .......................
a)
R
b)
[–1, 1]
c)
{–1, 0, 1}
d)
Z
|
|
Preeti Iyer answered |
h(x) = [x] is the greatest integer function. Its range is Z (set of integers)
A teacher conducted a surprise test of Mathematics, Physics and Chemistry for class XI on Monday.The mean and standard deviation of marks obtained by 50 students of the class in three subjects are given below:
Q. Which of the three subjects shows the highest variability?- a)Mathematics
- b)Physics
- c)Chemistry
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
A teacher conducted a surprise test of Mathematics, Physics and Chemistry for class XI on Monday.
The mean and standard deviation of marks obtained by 50 students of the class in three subjects are given below:
a)
Mathematics
b)
Physics
c)
Chemistry
d)
none of these
|
|
Tanuja Kapoor answered |
The subject with greater C.V. is more variable than others. Therefore, the highest variability in marks is in Chemistry.
Shamshad Ali buys a scooter for ₹ 22,000. He pays ₹ 4,000 cash and agrees to pay the balance in annual instalments of ₹1000 plus 10% interest on the unpaid amount.
Q. Interest paid by Ali on 1st instalment?- a)₹ 1600
- b)₹ 1700
- c)₹ 1800
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
Shamshad Ali buys a scooter for ₹ 22,000. He pays ₹ 4,000 cash and agrees to pay the balance in annual instalments of ₹1000 plus 10% interest on the unpaid amount.
Q. Interest paid by Ali on 1st instalment?
a)
₹ 1600
b)
₹ 1700
c)
₹ 1800
d)
none of these
|
|
Geetika Shah answered |
Scooter cost = ₹22,000
Down payment = ₹4000.
Balance payment = ₹18000
Now, interest on 1st instalment
A parking lot in an IT company is triangular shaped with two of its vertices at B(–2, 0) and C(1, 12). The third vertex A is at the midpoint of the line joining the points (1, 1) and (3, 11).
Q. Find the equation of line parallel to BC and passing through the vertex A.- a)4x – y = 2
- b)4y – x =2
- c)4x – y = –2
- d)4y – x = –2
Correct answer is option 'A'. Can you explain this answer?
A parking lot in an IT company is triangular shaped with two of its vertices at B(–2, 0) and C(1, 12). The third vertex A is at the midpoint of the line joining the points (1, 1) and (3, 11).
Q. Find the equation of line parallel to BC and passing through the vertex A.
a)
4x – y = 2
b)
4y – x =2
c)
4x – y = –2
d)
4y – x = –2
|
|
Varun Kapoor answered |
Equation of line parallel to 4x – y + 8
= 0 and passing through A(2, 6) is:
y – 6 = 4(x – 2)
⇒ 4x – y – 2 = 0
⇒ 4x – y = 2
An analysis of monthly wages paid to workers in two firms A and B, belonging to the same industry, gives the following results:
Q. Amount paid by firm A is:- a)3078258
- b)3403944
- c)3708258
- d)3043944
Correct answer is option 'A'. Can you explain this answer?
An analysis of monthly wages paid to workers in two firms A and B, belonging to the same industry, gives the following results:
a)
3078258
b)
3403944
c)
3708258
d)
3043944
|
|
Anjali Sharma answered |
No. of wage earners = 586
Mean of monthly wages, x = ₹5253
Amount paid by firm A = ₹(586 × 5253)
= ₹3078258
An analysis of monthly wages paid to workers in two firms A and B, belonging to the same industry, gives the following results:
Q. Standard deviation of the distribution of wages for firm B- a)10
- b)15
- c)11
- d)20
Correct answer is option 'C'. Can you explain this answer?
An analysis of monthly wages paid to workers in two firms A and B, belonging to the same industry, gives the following results:
Q. Standard deviation of the distribution of wages for firm B
a)
10
b)
15
c)
11
d)
20
|
|
Raghav Bansal answered |
Standard deviation,
The derivative of y with respect to x is the change in y with respect to a change in x.The derivative of f(x) at x0 is given by
Q. Derivative of cos x with respect to x is ...............- a)sin x
- b)cos x
- c)–sin x
- d)–cos x
Correct answer is option 'C'. Can you explain this answer?
The derivative of y with respect to x is the change in y with respect to a change in x.
The derivative of f(x) at x0 is given by
Q. Derivative of cos x with respect to x is ...............
a)
sin x
b)
cos x
c)
–sin x
d)
–cos x
|
|
Raghav Bansal answered |
D/dx (cos x ) =−sinx
Shamshad Ali buys a scooter for ₹ 22,000. He pays ₹ 4,000 cash and agrees to pay the balance in annual instalments of ₹1000 plus 10% interest on the unpaid amount.
Q. How much will scooter cost him?- a)₹17100
- b)₹22000
- c)₹39100
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
Shamshad Ali buys a scooter for ₹ 22,000. He pays ₹ 4,000 cash and agrees to pay the balance in annual instalments of ₹1000 plus 10% interest on the unpaid amount.
Q. How much will scooter cost him?
a)
₹17100
b)
₹22000
c)
₹39100
d)
none of these
|
|
Hansa Sharma answered |
Total amount or actual cost
= 22000 + 17100
= ₹39100
Shamshad Ali buys a scooter for ₹ 22,000. He pays ₹ 4,000 cash and agrees to pay the balance in annual instalments of ₹1000 plus 10% interest on the unpaid amount.
Q. Interest paid by Ali on the 3rd instalment?- a)₹ 1600
- b)₹ 1700
- c)₹ 1800
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
Shamshad Ali buys a scooter for ₹ 22,000. He pays ₹ 4,000 cash and agrees to pay the balance in annual instalments of ₹1000 plus 10% interest on the unpaid amount.
Q. Interest paid by Ali on the 3rd instalment?
a)
₹ 1600
b)
₹ 1700
c)
₹ 1800
d)
none of these
|
|
Geetika Shah answered |
Unpaid amount = ₹17000 – ₹1000 = 16000
Interest on 2nd instalment
Indeterminate forms of limitsOn direct evaluation, if a limit takes the form 0/0, ∞/∞, 0 × ∞ ..., we use standard results for evaluating the limits. The below figure shows a few indeterminate forms.
Q. 
- a)0
- b)log 2
- c)log 4
- d)log 8
Correct answer is option 'C'. Can you explain this answer?
Indeterminate forms of limits
On direct evaluation, if a limit takes the form 0/0, ∞/∞, 0 × ∞ ..., we use standard results for evaluating the limits. The below figure shows a few indeterminate forms.
Q.
a)
0
b)
log 2
c)
log 4
d)
log 8
|
|
Ananya Das answered |
is ...........
A Relation R from A to B can be depicted pictorially using arrow diagram. In arrow diagram, we write down the elements of two sets A and B in two disjoint circles. Then we draw arrow from set A to set B whenever (a, b) ∈ R. An example of information depicted through an arrow diagram is shown below. For example:A company has four categories of employees given by Assistants (A), Clerks (C), Managers (M) and an Executive Officer (E). The company provides ₹10,000, ₹25,000, ₹50,000 and ₹1,00,000 as salaries to the people who work in the categories A, C, M and E respectively. Here A1, A2, A3, A4 and A5 are Assistants; C1, C2, C3, C4 are Clerks; M1, M2, M3 are Managers and E1, E2 are Executive Officers then the relation R is defined by xRy, where x is the salary given to person y.
Which among the above figures shows a Relation between the two non - empty sets?- a)A, C
- b)B, C
- c)A, B
- d)A, B, C
Correct answer is option 'C'. Can you explain this answer?
A Relation R from A to B can be depicted pictorially using arrow diagram. In arrow diagram, we write down the elements of two sets A and B in two disjoint circles. Then we draw arrow from set A to set B whenever (a, b) ∈ R. An example of information depicted through an arrow diagram is shown below. For example:
A company has four categories of employees given by Assistants (A), Clerks (C), Managers (M) and an Executive Officer (E). The company provides ₹10,000, ₹25,000, ₹50,000 and ₹1,00,000 as salaries to the people who work in the categories A, C, M and E respectively. Here A1, A2, A3, A4 and A5 are Assistants; C1, C2, C3, C4 are Clerks; M1, M2, M3 are Managers and E1, E2 are Executive Officers then the relation R is defined by xRy, where x is the salary given to person y.
Which among the above figures shows a Relation between the two non - empty sets?
a)
A, C
b)
B, C
c)
A, B
d)
A, B, C
|
|
Preeti Iyer answered |
Figures A and B show relations. Figure C shows a function but not a relation.
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