1
IIT-JEE 1990
MCQ (Single Correct Answer)
+2
-0.5
The number of solutions of the equation sin$${(e)^x} = {5^x} + {5^{ - x}}$$ is
A
0
B
1
C
2
D
Infinitely many
2
IIT-JEE 1990
Subjective
+2
-0
Prove that $${{{n^7}} \over 7} + {{{n^5}} \over 5} + {{2{n^3}} \over 3} - {n \over {105}}$$ is an integer for every positive integer $$n$$
3
IIT-JEE 1990
MCQ (Single Correct Answer)
+2
-0.5
The number $${\log _2}\,7$$ is
A
an integer
B
a rational number
C
an irrational number
D
a prime number
4
IIT-JEE 1990
Numerical
+4
-0
If $${\log _3}\,2\,,\,\,{\log _3}\,({2^x} - 5)\,,\,and\,\,{\log _3}\,\left( {{2^x} - {7 \over 2}} \right)$$ are in arithmetic progression, determine the value of x.
Your input ____
JEE Advanced Papers
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12