Week 2 Mathematics 1 Questions | Prasnya
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Topic wise questions
Q1
Which of the following options is/are true?
Multiple correct
MARCH 15, 2026
MARCH 15, 2026
Q2
A straight line
L
L
passes through the point
(
2
,
3
)
(2,3)
and cuts equal intercepts on the
x
x
-axis and the
y
y
-axis. Which of the following represents the equation of the line
L
L
?
Single correct
MARCH 15, 2026
MARCH 15, 2026
Q3
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
denote the data used and
y
y
denote the amount charged. Based on previous observations, the best-fit linear model relating
y
y
and
x
x
is given by
y
=
12
x
−
10.
y = 12x - 10.
Integer answer
MARCH 15, 2026
MARCH 15, 2026
Q4
Consider the straight line
ℓ
:
y
=
−
2
3
x
+
4
\ell: y = -\dfrac{2}{3}x + 4
. Let
M
M
and
N
N
be the
x
x
- and
y
y
-intercepts of this line. If a point
P
P
divides the segment
M
N
MN
internally in the ratio
2
:
1
2:1
, find the slope of the line joining the origin
(
0
,
0
)
(0,0)
to
P
P
.
Integer answer
OCTOBER 26, 2025
OCTOBER 26, 2025
Q5
The line
ℓ
1
\ell_1
intersects the
x
x
-axis at
(
4
,
0
)
(4, 0)
and the
y
y
-axis at
(
0
,
2
)
(0, 2)
. Another line
ℓ
2
\ell_2
passes through the point of intersection of
ℓ
1
\ell_1
with the line
x
+
y
=
5
x + y = 5
and is parallel to the
x
x
-axis. Determine the
y
y
-intercept of the line
ℓ
2
\ell_2
.
Integer answer
OCTOBER 26, 2025
OCTOBER 26, 2025
Q6
A small cafe records, over five days, the number of hours (
x
x
) a barista works and the corresponding number of drinks (
y
y
) sold: A simple linear regression model fitted to the data is
y
=
2
x
+
3
y = 2x + 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.
Integer answer
OCTOBER 26, 2025
OCTOBER 26, 2025
Q7
Which of the following is correct with respect to the slope of a line?
Single correct
JULY 13, 2025
JULY 13, 2025
Q8
Suppose the line
y
=
2
x
+
5
y = 2x + 5
is the best fit line using SSE for the data set given in the table below. Find the value of SSE.
Integer answer
JULY 13, 2025
JULY 13, 2025
Q9
Which of the following is/are correct?
Comprehension
JULY 13, 2025
JULY 13, 2025
Q10
Which of the following is correct?
Comprehension
JULY 13, 2025
JULY 13, 2025
Q11
How much distance does Rahul have to travel to reach his destination if he takes the boat towards ferry ghat
B
B
?
Comprehension
JULY 13, 2025
JULY 13, 2025
Q12
How much distance does Rahul have to travel to reach his destination if he takes the boat towards ferry ghat
C
C
?
Comprehension
JULY 13, 2025
JULY 13, 2025
Q13
Choose the point where
L
1
L_1
and
L
2
L_2
intersect.
Comprehension
FEBRUARY 23, 2025
FEBRUARY 23, 2025
Q14
If
θ
\theta
is the angle between
L
1
L_1
and
L
2
L_2
, then
tan
(
θ
)
\tan(\theta)
is equal to
Comprehension
FEBRUARY 23, 2025
FEBRUARY 23, 2025
Q15
What is the area of the triangle
A
B
C
ABC
?
Comprehension
FEBRUARY 23, 2025
FEBRUARY 23, 2025
Q16
Choose all the possible options for
P
P
.
Comprehension
FEBRUARY 23, 2025
FEBRUARY 23, 2025
Q17
Radhika has been tracking her monthly expenses and the corresponding number of outings she has with friends. Here, let
y
y
represent the amount spent on entertainment and
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
. Find the value of SSE.
Integer answer
FEBRUARY 23, 2025
FEBRUARY 23, 2025
Q18
Let
ℓ
\ell
be the equation of the line which passes through the point
(
1
,
9
)
(1, 9)
and is parallel to
y
=
7
x
+
6
y = 7x + 6
. Then which of the following are correct?
Multiple correct
FEBRUARY 23, 2025
FEBRUARY 23, 2025
