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Week 2 Mathematics 1 Questions | Prasnya
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39Q
01
Which of the following options is/are true?
Multiple correct
MEDIUM
4 marks
15 March 2026
02
A straight line
L
L
L
passes through the point
(
2
,
3
)
(2,3)
(
2
,
3
)
and cuts equal intercepts on the
x
x
x
-axis and the
y
y
y
-axis. Which of the following represents the equation of the line
L
L
L
?
Single correct
EASY
4 marks
15 March 2026
03
You are monitoring your mobile data usage over time. Whenever the data usage reaches a fixed alert level, you record the data used (in GB) and the corresponding amount charged (in Rs). Let
x
x
x
denote the data used and
y
y
y
denote the amount charged. Based on previous observations, the best-fit linear model relating
y
y
y
and
x
x
x
is given by
y
=
12
x
−
10.
y = 12x - 10.
y
=
12
x
−
10.
Numerical
MEDIUM
4 marks
15 March 2026
04
Consider the straight line
ℓ
:
y
=
−
2
3
x
+
4
\ell: y = -\dfrac{2}{3}x + 4
ℓ
:
y
=
−
3
2
x
+
4
. Let
M
M
M
and
N
N
N
be the
x
x
x
- and
y
y
y
-intercepts of this line. If a point
P
P
P
divides the segment
M
N
MN
M
N
internally in the ratio
2
:
1
2:1
2
:
1
, find the slope of the line joining the origin
(
0
,
0
)
(0,0)
(
0
,
0
)
to
P
P
P
.
Numerical
MEDIUM
4 marks
26 October 2025
05
The line
ℓ
1
\ell_1
ℓ
1
intersects the
x
x
x
-axis at
(
4
,
0
)
(4, 0)
(
4
,
0
)
and the
y
y
y
-axis at
(
0
,
2
)
(0, 2)
(
0
,
2
)
. Another line
ℓ
2
\ell_2
ℓ
2
passes through the point of intersection of
ℓ
1
\ell_1
ℓ
1
with the line
x
+
y
=
5
x + y = 5
x
+
y
=
5
and is parallel to the
x
x
x
-axis. Determine the
y
y
y
-intercept of the line
ℓ
2
\ell_2
ℓ
2
.
Numerical
EASY
4 marks
26 October 2025
06
A small cafe records, over five days, the number of hours (
x
x
x
) a barista works and the corresponding number of drinks (
y
y
y
) sold: A simple linear regression model fitted to the data is
y
=
2
x
+
3
y = 2x + 3
y
=
2
x
+
3
. The total Sum of Squares Error (SSE) for all five observations is 10. It is known that, on the fifth day, the actual number of drinks sold exceeded the value predicted by the regression line. Determine, correct to the nearest integer, the number of drinks sold on the fifth day.
Numerical
HARD
5 marks
26 October 2025
07
Which of the following is correct with respect to the slope of a line?
Single correct
EASY
4 marks
13 July 2025
08
Suppose the line
y
=
2
x
+
5
y = 2x + 5
y
=
2
x
+
5
is the best fit line using SSE for the data set given in the table below. Find the value of SSE.
Numerical
MEDIUM
5 marks
13 July 2025
09
Which of the following is/are correct?
Comprehension
HARD
3 marks
13 July 2025
10
Which of the following is correct?
Comprehension
MEDIUM
2 marks
13 July 2025
11
How much distance does Rahul have to travel to reach his destination if he takes the boat towards ferry ghat
B
B
B
?
Comprehension
HARD
3 marks
13 July 2025
12
How much distance does Rahul have to travel to reach his destination if he takes the boat towards ferry ghat
C
C
C
?
Comprehension
HARD
3 marks
13 July 2025
13
Choose the point where
L
1
L_1
L
1
and
L
2
L_2
L
2
intersect.
Comprehension
MEDIUM
2 marks
23 February 2025
14
If
θ
\theta
θ
is the angle between
L
1
L_1
L
1
and
L
2
L_2
L
2
, then
tan
(
θ
)
\tan(\theta)
tan
(
θ
)
is equal to
Comprehension
MEDIUM
3 marks
23 February 2025
15
What is the area of the triangle
A
B
C
ABC
A
B
C
?
Comprehension
EASY
3 marks
23 February 2025
16
Choose all the possible options for
P
P
P
.
Comprehension
HARD
3 marks
23 February 2025
17
Radhika has been tracking her monthly expenses and the corresponding number of outings she has with friends. Here, let
y
y
y
represent the amount spent on entertainment and
x
x
x
represent the corresponding number of outings. She fitted a best-fit line to her data and obtained the equation. The best-fit line using SSE is
y
=
4
x
+
2
y = 4x + 2
y
=
4
x
+
2
. Find the value of SSE.
Numerical
MEDIUM
4 marks
23 February 2025
18
Let
ℓ
\ell
ℓ
be the equation of the line which passes through the point
(
1
,
9
)
(1, 9)
(
1
,
9
)
and is parallel to
y
=
7
x
+
6
y = 7x + 6
y
=
7
x
+
6
. Then which of the following are correct?
Multiple correct
EASY
4 marks
23 February 2025
19
You have been closely monitoring your bike's mileage recently. Here is a table showing two rows representing the amount paid for fuel (in currency units) and the corresponding mileage (in Km).Consider
y
y
y
as the amount paid and
x
x
x
as the corresponding mileage in Km. You noted the distance travelled each time the fuel meter falls back to a fixed reference mark and predicted that the best-fit line equation is
y
=
4
x
+
1
y=4x+1
y
=
4
x
+
1
. What will be the value of SSE with respect to the best-fit line?
Numerical
MEDIUM
5 marks
24 October 2024
20
A bird is flying along the straight line
2
y
−
6
x
=
6
2y-6x=6
2
y
−
6
x
=
6
. After some time an aeroplane also follows the straight line path with a slope of
2
2
2
and passes through the point
(
4
,
8
)
(4,8)
(
4
,
8
)
. Let
(
α
,
β
)
(\alpha,\beta)
(
α
,
β
)
be the point where the bird and aeroplane can collide. Then find the value of
α
+
β
\alpha+\beta
α
+
β
.
Numerical
MEDIUM
5 marks
24 October 2024
21
If the
x
x
x
-intercept of the line
L
1
L_1
L
1
is
1
1
1
and the angle between
L
1
L_1
L
1
and
L
2
L_2
L
2
is
π
/
2
\pi/2
π
/2
, then determine the coordinates of the point where
L
1
L_1
L
1
and
L
2
L_2
L
2
intersect.
Comprehension
MEDIUM
4 marks
07 July 2024
22
If the
x
x
x
-intercept of the line
L
1
L_1
L
1
is
1
1
1
and
y
y
y
-intercept of the line
L
2
L_2
L
2
is
−
1
-1
−
1
and if
θ
\theta
θ
is the angle between
L
1
L_1
L
1
and
L
2
L_2
L
2
, then
tan
θ
\tan\theta
tan
θ
is equal to
Comprehension
MEDIUM
4 marks
07 July 2024
23
Radhika has been tracking her monthly expenses and the corresponding number of outings she has with friends. Here is a table with two rows representing the amount spent on entertainment and the corresponding number of outings. Let
y
y
y
be the amount spent and
x
x
x
be the corresponding number of outings. She fitted a best fit line to her data and obtained the equation
y
=
4
x
+
15
y=4x+15
y
=
4
x
+
15
. What is the value of SSE (Sum of Squared Errors) in relation to the best fit line?
Numerical
MEDIUM
4 marks
07 July 2024
24
What is the area of the triangle
A
B
C
ABC
A
B
C
?
Comprehension
EASY
3 marks
25 February 2024
25
Choose all the possible options for
P
P
P
.
Comprehension
HARD
5 marks
25 February 2024
26
Choose the point where
L
1
L_1
L
1
and
L
2
L_2
L
2
intersect.
Comprehension
MEDIUM
3 marks
25 February 2024
27
If
θ
\theta
θ
is the angle between
L
1
L_1
L
1
and
L
2
L_2
L
2
, then
tan
(
θ
)
\tan(\theta)
tan
(
θ
)
is equal to
Comprehension
MEDIUM
3 marks
25 February 2024
28
Which of the following options is/are true?
Multiple correct
MEDIUM
3 marks
16 July 2023
29
Consider the points
A
(
0
,
3
)
A(0,3)
A
(
0
,
3
)
,
B
(
x
,
y
)
B(x,y)
B
(
x
,
y
)
,
C
(
4
,
3
)
C(4,3)
C
(
4
,
3
)
,
D
(
1
,
0
)
D(1,0)
D
(
1
,
0
)
and
E
(
3
,
1
)
E(3,1)
E
(
3
,
1
)
in the coordinate system. Suppose the point
B
B
B
divides internally the line segment
A
C
AC
A
C
in the ratio
k
:
1
k:1
k
:
1
. If the area of triangle
D
E
B
DEB
D
E
B
is
2
2
2
, then find the positive value of
k
k
k
.
Numerical
MEDIUM
5 marks
16 July 2023
30
Suppose the line
y
=
2
x
+
k
y=2x+k
y
=
2
x
+
k
is the best fit line using SSE for the data set given in Table 1 for some
k
∈
R
k\in\mathbb{R}
k
∈
R
. Find the value of
16
k
16k
16
k
.
Numerical
MEDIUM
5 marks
16 July 2023
31
Which of the following statements is (are) correct?
Multiple correct
MEDIUM
4 marks
16 October 2022
32
You are climbing a ladder which is slanted at an angle of
45
∘
45^\circ
4
5
∘
(measured in the anticlockwise direction) with respect to the ground. The ladder, leaning against a wall, is at a vertical distance of
2
2
2
metres from the ground. If you are at a location which cuts the ladder in the ratio
2
:
1
2:1
2
:
1
from the bottom to top, what are the coordinates of your location? Assume origin
(
0
,
0
)
(0,0)
(
0
,
0
)
to be at the intersection of the ladder and the ground.
Multiple correct
EASY
3 marks
16 October 2022
33
Sushmita was calculating SSE (sum squared error) and she found that SSE is a function of
a
a
a
as follows:
S
S
E
=
f
(
a
)
=
a
2
−
8
a
+
30
SSE=f(a)=a^2-8a+30
S
S
E
=
f
(
a
)
=
a
2
−
8
a
+
30
. What will be the best fit value?
Multiple correct
EASY
3 marks
16 October 2022
34
NOTE: Enter your answer to the nearest integer. A function
f
(
x
)
f(x)
f
(
x
)
, fit for the data given in Table-1 recorded by a student, is
y
=
f
(
x
)
=
(
x
−
2
)
(
x
−
4
)
(
x
−
6
)
+
k
y=f(x)=(x-2)(x-4)(x-6)+k
y
=
f
(
x
)
=
(
x
−
2
)
(
x
−
4
)
(
x
−
6
)
+
k
. What will be the value of
k
k
k
, so that SSE (Sum Squared Error) will be minimum?
Numerical
MEDIUM
5 marks
05 June 2022
35
Choose the correct option(s) from the following.
Comprehension
MEDIUM
3 marks
05 June 2022
36
The equation of the diagonal that does not pass through the origin is
Comprehension
MEDIUM
3 marks
05 June 2022
37
A sniper shoots at a target in such a way that the bullet moves along the straight path
y
=
x
−
15
y=x-15
y
=
x
−
15
. The bullet passes through the midpoint of a line segment
A
B
AB
A
B
, where the coordinates of
A
A
A
and
B
B
B
are
(
50
,
y
1
)
(50,y_1)
(
50
,
y
1
)
and
(
x
2
,
50
)
(x_2,50)
(
x
2
,
50
)
respectively. If the distance of the points
A
A
A
and
B
B
B
from the given line are equal and the value is
15
/
2
15/\sqrt{2}
15/
2
, then choose the possible coordinates of
A
A
A
and
B
B
B
from the given options.
Multiple correct
MEDIUM
5 marks
10 July 2022
38
NOTE: Enter your answer to the nearest integer. A company wants to manufacture iron rods. Before production, the total cost for producing
x
x
x
iron rods is
C
(
x
)
=
0.2
x
+
1000
C(x)=0.2x+1000
C
(
x
)
=
0.2
x
+
1000
and the total revenue from selling
x
x
x
iron rods is
R
(
x
)
=
2.4
x
R(x)=2.4x
R
(
x
)
=
2.4
x
. Every iron rod produced will be sold. Find the minimum number of iron rods the company should manufacture to get a profit.
Numerical
EASY
4 marks
10 July 2022
39
NOTE: Enter your answer to the nearest integer. Two highways perpendicular to each other are considered as the coordinate axes. Arpita's house is at
(
−
3
,
a
)
(-3,a)
(
−
3
,
a
)
and her friend Puja's house is at
(
−
3
,
10
)
(-3,10)
(
−
3
,
10
)
. The distance between their houses is
6
6
6
km. Sufi's house is at
(
b
,
10
)
(b,10)
(
b
,
10
)
. The distance between Puja's and Sufi's houses is
8
8
8
km. If
a
a
a
and
b
b
b
are real numbers, what is the distance between Arpita's and Sufi's house? Consider the unit length to be
1
1
1
km on both axes.
Numerical
EASY
4 marks
10 July 2022
Showing 39 questions.
Mathematics 1 > Week 2
All PYQs
Topic-Wise PYQs
Start Weekly Test
Mock tests
Week mock
Topic mock
Subject mock
Type:
All
Difficulty:
All
Year:
All
39Q
01
Which of the following options is/are true?
Multiple correct
MEDIUM
4 marks
15 March 2026
02
A straight line
L
L
L
passes through the point
(
2
,
3
)
(2,3)
(
2
,
3
)
and cuts equal intercepts on the
x
x
x
-axis and the
y
y
y
-axis. Which of the following represents the equation of the line
L
L
L
?
Single correct
EASY
4 marks
15 March 2026
03
You are monitoring your mobile data usage over time. Whenever the data usage reaches a fixed alert level, you record the data used (in GB) and the corresponding amount charged (in Rs). Let
x
x
x
denote the data used and
y
y
y
denote the amount charged. Based on previous observations, the best-fit linear model relating
y
y
y
and
x
x
x
is given by
y
=
12
x
−
10.
y = 12x - 10.
y
=
12
x
−
10.
Numerical
MEDIUM
4 marks
15 March 2026
04
Consider the straight line
ℓ
:
y
=
−
2
3
x
+
4
\ell: y = -\dfrac{2}{3}x + 4
ℓ
:
y
=
−
3
2
x
+
4
. Let
M
M
M
and
N
N
N
be the
x
x
x
- and
y
y
y
-intercepts of this line. If a point
P
P
P
divides the segment
M
N
MN
M
N
internally in the ratio
2
:
1
2:1
2
:
1
, find the slope of the line joining the origin
(
0
,
0
)
(0,0)
(
0
,
0
)
to
P
P
P
.
Numerical
MEDIUM
4 marks
26 October 2025
05
The line
ℓ
1
\ell_1
ℓ
1
intersects the
x
x
x
-axis at
(
4
,
0
)
(4, 0)
(
4
,
0
)
and the
y
y
y
-axis at
(
0
,
2
)
(0, 2)
(
0
,
2
)
. Another line
ℓ
2
\ell_2
ℓ
2
passes through the point of intersection of
ℓ
1
\ell_1
ℓ
1
with the line
x
+
y
=
5
x + y = 5
x
+
y
=
5
and is parallel to the
x
x
x
-axis. Determine the
y
y
y
-intercept of the line
ℓ
2
\ell_2
ℓ
2
.
Numerical
EASY
4 marks
26 October 2025
06
A small cafe records, over five days, the number of hours (
x
x
x
) a barista works and the corresponding number of drinks (
y
y
y
) sold: A simple linear regression model fitted to the data is
y
=
2
x
+
3
y = 2x + 3
y
=
2
x
+
3
. The total Sum of Squares Error (SSE) for all five observations is 10. It is known that, on the fifth day, the actual number of drinks sold exceeded the value predicted by the regression line. Determine, correct to the nearest integer, the number of drinks sold on the fifth day.
Numerical
HARD
5 marks
26 October 2025
07
Which of the following is correct with respect to the slope of a line?
Single correct
EASY
4 marks
13 July 2025
08
Suppose the line
y
=
2
x
+
5
y = 2x + 5
y
=
2
x
+
5
is the best fit line using SSE for the data set given in the table below. Find the value of SSE.
Numerical
MEDIUM
5 marks
13 July 2025
09
Which of the following is/are correct?
Comprehension
HARD
3 marks
13 July 2025
10
Which of the following is correct?
Comprehension
MEDIUM
2 marks
13 July 2025
11
How much distance does Rahul have to travel to reach his destination if he takes the boat towards ferry ghat
B
B
B
?
Comprehension
HARD
3 marks
13 July 2025
12
How much distance does Rahul have to travel to reach his destination if he takes the boat towards ferry ghat
C
C
C
?
Comprehension
HARD
3 marks
13 July 2025
13
Choose the point where
L
1
L_1
L
1
and
L
2
L_2
L
2
intersect.
Comprehension
MEDIUM
2 marks
23 February 2025
14
If
θ
\theta
θ
is the angle between
L
1
L_1
L
1
and
L
2
L_2
L
2
, then
tan
(
θ
)
\tan(\theta)
tan
(
θ
)
is equal to
Comprehension
MEDIUM
3 marks
23 February 2025
15
What is the area of the triangle
A
B
C
ABC
A
B
C
?
Comprehension
EASY
3 marks
23 February 2025
16
Choose all the possible options for
P
P
P
.
Comprehension
HARD
3 marks
23 February 2025
17
Radhika has been tracking her monthly expenses and the corresponding number of outings she has with friends. Here, let
y
y
y
represent the amount spent on entertainment and
x
x
x
represent the corresponding number of outings. She fitted a best-fit line to her data and obtained the equation. The best-fit line using SSE is
y
=
4
x
+
2
y = 4x + 2
y
=
4
x
+
2
. Find the value of SSE.
Numerical
MEDIUM
4 marks
23 February 2025
18
Let
ℓ
\ell
ℓ
be the equation of the line which passes through the point
(
1
,
9
)
(1, 9)
(
1
,
9
)
and is parallel to
y
=
7
x
+
6
y = 7x + 6
y
=
7
x
+
6
. Then which of the following are correct?
Multiple correct
EASY
4 marks
23 February 2025
19
You have been closely monitoring your bike's mileage recently. Here is a table showing two rows representing the amount paid for fuel (in currency units) and the corresponding mileage (in Km).Consider
y
y
y
as the amount paid and
x
x
x
as the corresponding mileage in Km. You noted the distance travelled each time the fuel meter falls back to a fixed reference mark and predicted that the best-fit line equation is
y
=
4
x
+
1
y=4x+1
y
=
4
x
+
1
. What will be the value of SSE with respect to the best-fit line?
Numerical
MEDIUM
5 marks
24 October 2024
20
A bird is flying along the straight line
2
y
−
6
x
=
6
2y-6x=6
2
y
−
6
x
=
6
. After some time an aeroplane also follows the straight line path with a slope of
2
2
2
and passes through the point
(
4
,
8
)
(4,8)
(
4
,
8
)
. Let
(
α
,
β
)
(\alpha,\beta)
(
α
,
β
)
be the point where the bird and aeroplane can collide. Then find the value of
α
+
β
\alpha+\beta
α
+
β
.
Numerical
MEDIUM
5 marks
24 October 2024
21
If the
x
x
x
-intercept of the line
L
1
L_1
L
1
is
1
1
1
and the angle between
L
1
L_1
L
1
and
L
2
L_2
L
2
is
π
/
2
\pi/2
π
/2
, then determine the coordinates of the point where
L
1
L_1
L
1
and
L
2
L_2
L
2
intersect.
Comprehension
MEDIUM
4 marks
07 July 2024
22
If the
x
x
x
-intercept of the line
L
1
L_1
L
1
is
1
1
1
and
y
y
y
-intercept of the line
L
2
L_2
L
2
is
−
1
-1
−
1
and if
θ
\theta
θ
is the angle between
L
1
L_1
L
1
and
L
2
L_2
L
2
, then
tan
θ
\tan\theta
tan
θ
is equal to
Comprehension
MEDIUM
4 marks
07 July 2024
23
Radhika has been tracking her monthly expenses and the corresponding number of outings she has with friends. Here is a table with two rows representing the amount spent on entertainment and the corresponding number of outings. Let
y
y
y
be the amount spent and
x
x
x
be the corresponding number of outings. She fitted a best fit line to her data and obtained the equation
y
=
4
x
+
15
y=4x+15
y
=
4
x
+
15
. What is the value of SSE (Sum of Squared Errors) in relation to the best fit line?
Numerical
MEDIUM
4 marks
07 July 2024
24
What is the area of the triangle
A
B
C
ABC
A
B
C
?
Comprehension
EASY
3 marks
25 February 2024
25
Choose all the possible options for
P
P
P
.
Comprehension
HARD
5 marks
25 February 2024
26
Choose the point where
L
1
L_1
L
1
and
L
2
L_2
L
2
intersect.
Comprehension
MEDIUM
3 marks
25 February 2024
27
If
θ
\theta
θ
is the angle between
L
1
L_1
L
1
and
L
2
L_2
L
2
, then
tan
(
θ
)
\tan(\theta)
tan
(
θ
)
is equal to
Comprehension
MEDIUM
3 marks
25 February 2024
28
Which of the following options is/are true?
Multiple correct
MEDIUM
3 marks
16 July 2023
29
Consider the points
A
(
0
,
3
)
A(0,3)
A
(
0
,
3
)
,
B
(
x
,
y
)
B(x,y)
B
(
x
,
y
)
,
C
(
4
,
3
)
C(4,3)
C
(
4
,
3
)
,
D
(
1
,
0
)
D(1,0)
D
(
1
,
0
)
and
E
(
3
,
1
)
E(3,1)
E
(
3
,
1
)
in the coordinate system. Suppose the point
B
B
B
divides internally the line segment
A
C
AC
A
C
in the ratio
k
:
1
k:1
k
:
1
. If the area of triangle
D
E
B
DEB
D
E
B
is
2
2
2
, then find the positive value of
k
k
k
.
Numerical
MEDIUM
5 marks
16 July 2023
30
Suppose the line
y
=
2
x
+
k
y=2x+k
y
=
2
x
+
k
is the best fit line using SSE for the data set given in Table 1 for some
k
∈
R
k\in\mathbb{R}
k
∈
R
. Find the value of
16
k
16k
16
k
.
Numerical
MEDIUM
5 marks
16 July 2023
31
Which of the following statements is (are) correct?
Multiple correct
MEDIUM
4 marks
16 October 2022
32
You are climbing a ladder which is slanted at an angle of
45
∘
45^\circ
4
5
∘
(measured in the anticlockwise direction) with respect to the ground. The ladder, leaning against a wall, is at a vertical distance of
2
2
2
metres from the ground. If you are at a location which cuts the ladder in the ratio
2
:
1
2:1
2
:
1
from the bottom to top, what are the coordinates of your location? Assume origin
(
0
,
0
)
(0,0)
(
0
,
0
)
to be at the intersection of the ladder and the ground.
Multiple correct
EASY
3 marks
16 October 2022
33
Sushmita was calculating SSE (sum squared error) and she found that SSE is a function of
a
a
a
as follows:
S
S
E
=
f
(
a
)
=
a
2
−
8
a
+
30
SSE=f(a)=a^2-8a+30
S
S
E
=
f
(
a
)
=
a
2
−
8
a
+
30
. What will be the best fit value?
Multiple correct
EASY
3 marks
16 October 2022
34
NOTE: Enter your answer to the nearest integer. A function
f
(
x
)
f(x)
f
(
x
)
, fit for the data given in Table-1 recorded by a student, is
y
=
f
(
x
)
=
(
x
−
2
)
(
x
−
4
)
(
x
−
6
)
+
k
y=f(x)=(x-2)(x-4)(x-6)+k
y
=
f
(
x
)
=
(
x
−
2
)
(
x
−
4
)
(
x
−
6
)
+
k
. What will be the value of
k
k
k
, so that SSE (Sum Squared Error) will be minimum?
Numerical
MEDIUM
5 marks
05 June 2022
35
Choose the correct option(s) from the following.
Comprehension
MEDIUM
3 marks
05 June 2022
36
The equation of the diagonal that does not pass through the origin is
Comprehension
MEDIUM
3 marks
05 June 2022
37
A sniper shoots at a target in such a way that the bullet moves along the straight path
y
=
x
−
15
y=x-15
y
=
x
−
15
. The bullet passes through the midpoint of a line segment
A
B
AB
A
B
, where the coordinates of
A
A
A
and
B
B
B
are
(
50
,
y
1
)
(50,y_1)
(
50
,
y
1
)
and
(
x
2
,
50
)
(x_2,50)
(
x
2
,
50
)
respectively. If the distance of the points
A
A
A
and
B
B
B
from the given line are equal and the value is
15
/
2
15/\sqrt{2}
15/
2
, then choose the possible coordinates of
A
A
A
and
B
B
B
from the given options.
Multiple correct
MEDIUM
5 marks
10 July 2022
38
NOTE: Enter your answer to the nearest integer. A company wants to manufacture iron rods. Before production, the total cost for producing
x
x
x
iron rods is
C
(
x
)
=
0.2
x
+
1000
C(x)=0.2x+1000
C
(
x
)
=
0.2
x
+
1000
and the total revenue from selling
x
x
x
iron rods is
R
(
x
)
=
2.4
x
R(x)=2.4x
R
(
x
)
=
2.4
x
. Every iron rod produced will be sold. Find the minimum number of iron rods the company should manufacture to get a profit.
Numerical
EASY
4 marks
10 July 2022
39
NOTE: Enter your answer to the nearest integer. Two highways perpendicular to each other are considered as the coordinate axes. Arpita's house is at
(
−
3
,
a
)
(-3,a)
(
−
3
,
a
)
and her friend Puja's house is at
(
−
3
,
10
)
(-3,10)
(
−
3
,
10
)
. The distance between their houses is
6
6
6
km. Sufi's house is at
(
b
,
10
)
(b,10)
(
b
,
10
)
. The distance between Puja's and Sufi's houses is
8
8
8
km. If
a
a
a
and
b
b
b
are real numbers, what is the distance between Arpita's and Sufi's house? Consider the unit length to be
1
1
1
km on both axes.
Numerical
EASY
4 marks
10 July 2022
Showing 39 questions.
