1
GATE CE 2023 Set 2
MCQ (Single Correct Answer)
+2
-0.67
If x satisfies the equation $\rm 4^{8^x}=256$, then x is equal to ______.
A
$\frac{1}{2}$
B
log16 8
C
$\frac{2}{3}$
D
log4 8
2
GATE CE 2023 Set 2
MCQ (Single Correct Answer)
+2
-0.67

Consider a spherical globe rotating about an axis passing through its poles. There are three points P, Q, and R situated respectively on the equator, the north pole, and midway between the equator and the north pole in the northern hemisphere. Let P, Q, and R move with speeds vp, vQ, and VR, respectively.

Which one of the following options is CORRECT?

A
vP < vR < vQ
B
vP < vQ < vR
C
vP > vR > vQ
D
vP = vR ≠ vQ
3
GATE CE 2023 Set 1
MCQ (Single Correct Answer)
+2
-0.66

Which one of the options can be inferred about the mean, median, and mode for the given probability distribution (i.e. probability mass function), 𝑃(𝑥), of a variable x?

GATE CE 2023 Set 1 General Aptitude - Numerical Ability Question 16 English
A
mean = median ≠ mode
B
mean = median = mode
C
mean ≠ median = mode
D
mean ≠ mode = median 
4
GATE CE 2023 Set 1
MCQ (Single Correct Answer)
+2
-0.66

Let a = 30! , b = 50! , and c = 100! . Consider the following numbers:

loga c, logc a, logb a, loga b

Which one of the following inequalities is CORRECT?

A
logc a < logb a < loga b < loga c
B
logc a < loga b < logb a < logb c
C
logc a < logb a < loga c < loga b
D
logb a < logc a < loga b < loga c
GATE CE Subjects
EXAM MAP