1
GATE CE 2023 Set 2
MCQ (Single Correct Answer)
+2
-0.67

Based only on the following passage, which one of the options can be inferred with certainty?

When the congregation sang together, Apenyo would also join, though her little screams were not quite audible because of the group singing. But whenever there was a special number, trouble would begin; Apenyo would try singing along, much to the embarrassment of her mother. After two or three such mortifying Sunday evenings, the mother stopped going to church altogether until Apenyo became older and learnt to behave.

At home too, Apenyo never kept quiet; she hummed or made up silly songs to sing by herself, which annoyed her mother at times but most often made her become pensive. She was by now convinced that her daughter had inherited her love of singing from her father who had died unexpectedly away from home.

A
The mother was embarrassed about her daughter’s singing at home.
B
The mother’s feelings about her daughter’s singing at home were only of annoyance.
C
The mother was not sure if Apenyo had inherited her love of singing from her father.
D
When Apenyo hummed at home, her mother tended to become thoughtful.
2
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
3
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
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