Prasnya
Continue with Google
Loading
IITM BS Week 6 Mathematics 1 Questions | Prasnya
Mathematics 1 > Week 6
All PYQs
Topic Wise PYQs
Start Weekly Test
Type:
All
Difficulty:
All
Year:
All
7Q
01
Find the value of
x
x
x
for which the following equation holds:
1
log
x
−
1
(
e
)
+
1
log
x
−
2
(
e
)
=
log
e
(
6
)
\frac{1}{\log_{x-1}(e)} + \frac{1}{\log_{x-2}(e)} = \log_e(6)
l
o
g
x
−
1
(
e
)
1
+
l
o
g
x
−
2
(
e
)
1
=
lo
g
e
(
6
)
.
Numerical
MEDIUM
3 marks
10 May 2026
02
Find the number of solutions of the equation
9
x
+
3
x
−
6
=
0
9^x + 3^x - 6 = 0
9
x
+
3
x
−
6
=
0
.
Numerical
EASY
4 marks
10 May 2026
03
If
(
a
,
b
)
⊂
R
(a, b) \subset \mathbb{R}
(
a
,
b
)
⊂
R
is the domain for the function
f
(
x
)
=
log
3
(
log
1
/
2
(
5
−
x
−
1
)
−
1
)
f(x) = \log_3 \left(\log_{1/2} (\sqrt{5-x} - 1) - 1\right)
f
(
x
)
=
lo
g
3
(
lo
g
1/2
(
5
−
x
−
1
)
−
1
)
, then find the value of
a
+
b
a + b
a
+
b
.
Numerical
HARD
4 marks
21 December 2025
04
Which of the following statements is/are true about the function
f
(
x
)
=
ln
(
ln
(
x
)
)
f(x) = \ln(\ln(x))
f
(
x
)
=
ln
(
ln
(
x
))
?
Single correct
MEDIUM
2 marks
13 April 2025
05
Which of the following statements is/are true about the function
f
(
x
)
=
log
(
log
(
x
)
)
f(x) = \log(\log(x))
f
(
x
)
=
lo
g
(
lo
g
(
x
))
?
Multiple correct
MEDIUM
4 marks
28 April 2024
06
Which of the following statements is/are true about the function f(x) = ln(ln(x))?
Multiple correct
MEDIUM
3 marks
24 December 2023
07
Suppose
x
x
x
and
y
y
y
are positive real numbers. If
log
x
(
4
)
+
log
y
(
16
)
=
0
\log_x(4) + \log_y(16) = 0
lo
g
x
(
4
)
+
lo
g
y
(
16
)
=
0
, then which of the following options can be true for
x
x
x
and
y
y
y
?
Multiple correct
MEDIUM
2 marks
07 August 2022
Showing 7 questions.
Complete question index for this section:
Question 1 (integer):
Question 2 (integer):
Question 3 (integer):
Question 4 (single):
Question 5 (multiple):
Question 6 (multiple):
Question 7 (multiple):
