1
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 9 English
A
mean = median ≠ mode
B
mean = median = mode
C
mean ≠ median = mode
D
mean ≠ mode = median 
2
GATE CE 2023 Set 1
MCQ (Single Correct Answer)
+2
-0.66

The James Webb telescope, recently launched in space, is giving humankind unprecedented access to the depths of time by imaging very old stars formed almost 13 billion years ago. Astrophysicists and cosmologists believe that this odyssey in space may even shed light on the existence of dark matter. Dark matter is supposed to interact only via the gravitational interaction and not through the electromagnetic-, the weak- or the strong-interaction. This may justify the epithet “dark” in dark matter.

Based on the above paragraph, which one of the following statements is FALSE?

A
No other telescope has captured images of stars older than those captured by the James Webb telescope.
B
People other than astrophysicists and cosmologists may also believe in the existence of dark matter.
C
The James Webb telescope could be of use in the research on dark matter.
D
If dark matter was known to interact via the strong-interaction, then the epithet “dark” would be justified.
3
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
4
GATE CE 2023 Set 1
MCQ (Single Correct Answer)
+2
-0.66

A square of side length 4 cm is given. The boundary of the shaded region is defined by one semi-circle on the top and two circular arcs at the bottom, each of radius 2 cm, as shown.

The area of the shaded region is __________ cm2.

GATE CE 2023 Set 1 General Aptitude - Numerical Ability Question 7 English
A
8
B
4
C
12
D
10
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12