1
GATE ECE 2024
MCQ (Single Correct Answer)
+1
-0.33

For a real number $x > 1$ ,

$$ \frac{1}{\log_{2}x} + \frac{1}{\log_{3}x} + \frac{1}{\log_{4}x} = 1$$

The value of $x$ is

A

4

B

12

C

24

D

36

2
GATE ECE 2024
MCQ (Single Correct Answer)
+1
-0.33

The greatest prime factor of $(3^{199} - 3^{196})$ is

A

13

B

17

C

3

D

11

3
GATE ECE 2024
MCQ (Single Correct Answer)
+2
-1.33

Sequence the following sentences (P, Q, R, S) in a coherent passage:

P: Shifu’s student exclaimed, “Why do you run since the bull is an illusion?”

Q: Shifu said, “Surely my running away from the bull is also an illusion.”

R: Shifu once proclaimed that all life is illusion.

S: One day, when a bull gave him chase, Shifu began running for his life.

A

SPRQ

B

SRPQ

C

RSPQ

D

RPQS

4
GATE ECE 2024
MCQ (Single Correct Answer)
+2
-1.33

Four identical cylindrical chalk-sticks, each of radius $r = 0.5$ cm and length $l = 10$ cm, are bound tightly together using a duct tape as shown in the following figure.

GATE ECE 2024 General Aptitude - Numerical Ability Question 3 English

The width of the duct tape is equal to the length of the chalk-stick. The area (in cm2) of the duct tape required to wrap the bundle of chalk-sticks once, is

A

20 (4 + $\pi$)

B

20 (8 + $\pi$)

C

10 (8 + $\pi$)

D

10 (4 + $\pi$)

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