GATE ECE 2024 PYQ

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Question 1

1. If ‘→’ denotes increasing order of intensity, then the meaning of the words [charm → enamor → bewitch] is analogous to

[bored → _______ → weary].

Which one of the given options is appropriate to fill the blank?

• jaded

• baffled

• dead

• worsted

Question 2

Q.2 P, Q, R, S, and T have launched a new Startup. Two of them are siblings. The office of the Startup has just three rooms. All of them agree that the siblings should not share the same room.

If S and Q are single children, and the room allocations shown below are acceptable to all, P R T S Q P Q R T S

PR	TS	Q

PQ	RT	S

then, which one of the given options is the siblings?

• P AND T

• P AND S

• T AND Q

• T AND R

Question 3

Q.3 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?

• 28 years

• 30 Years

• 32 years

• 35 years

Question 4

Q.4 For a real number 𝑥 > 1,

[Tex]\frac{1}{\log_{2} x} + \frac{1}{\log_{3} x} + \frac{1}{\log_{4} x} = 1[/Tex]

The value of x is

• 4

• 12

• 24

• 36

Question 5

[Tex]\textbf{Q.5} \quad \text{The greatest prime factor of } \left(3^{199} - 3^{196}\right) \text{ is}[/Tex]

• 13

• 17

• 3

• 11

Question 6

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.

[GATE 2024 || DA || 1 Marks || MCQ]

• SPRQ

• SRPQ

• RSPQ

• RPQS

Question 7

Q.7 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 1 .

fig 1

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 + 𝜋)

• (B) 20 (8 + 𝜋)

• (C) 10 (8 + 𝜋)

• (D) 10 (4 + 𝜋)

Question 8

Q.8 The bar chart shows the data for the percentage of population falling into different categories based on Body Mass Index (BMI) in 2003 and 2023.

fig

Based on the data provided, which one of the following options is INCORRECT?

• (A) The ratio of the percentage of population falling into overweight category to the percentage of population falling into normal category has increased in 20 years.

• (B) The ratio of the percentage of population falling into underweight category to the percentage of population falling into normal category has decreased in 20 years.

• (C) The ratio of the percentage of population falling into obese category to the percentage of population falling into normal category has decreased in 20 years.

• (D) The percentage of population falling into normal category has decreased in 20 years.

Question 9

Q.9 Examples of mirror and water reflections are shown in the figures below:

f

An object appears as the following image after first reflecting in a mirror and then reflecting on water.

fig 2

• 

• 

• 

• 

Question 10

Q.10 Two identical sheets A and B, of dimensions 24 cm × 16 cm, can be folded into half using two distinct operations, FO1 or FO2.

In FO1, the axis of folding remains parallel to the initial long edge, and in FO2, the axis of folding remains parallel to the initial short edge.

If sheet A is folded twice using FO1, and sheet B is folded twice using FO2, the ratio of the perimeters of the final shapes of A and B is

• (A) 14:11

• (B) 11:14

• (C) 18:11

• (D) 11:18

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