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

Five years ago, the ratio of Aman’s age to his father’s age was 1:4, and five years from now, the ratio will be 2:5. What was his father’s age when Aman was born?

A

28 years

B

30 years

C

35 years

D

32 years

2
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

3
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

4
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

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