GATE CSE 2023

Last Updated : 24 Jul, 2023
Question 1

We reached the station late, and _______ missed the train

Cross

Near

Tick

Nearly

Cross

Utterly

Cross

Mostly



Question 1-Explanation: 

The most suitable word is nearly, Hence option (b) is correct.

Question 2

Kind : _______ : : Often : Frequently

(By word meaning)

Cross

Mean

Tick

Type

Cross

Cruel

Cross

Kindly



Question 2-Explanation: 

Frequently is synonym of often, similarly, type is synonym of kind. Hence, the correct answer is (b).

Question 3

A series of natural numbers F1,F2,F3,F4,F5,F6,F7 obeys Fn+1=Fn+Fn-1 for all integers n>=2.

If F6=37 and F7=60 Then what is the value of F1?

Tick

4

Cross

5

Cross

6

Cross

7



Question 3-Explanation: 

According to the given data we have to find the value of F1 using the recurrence relation

Fn+1=Fn+Fn-1

While putting the value of F6 and F7 we will get the value of F5 which is 23

Fn+1=Fn+Fn-1 so after this we will look for F4 which will 14

And by following F4 and F5 we will calculate the value of F3 which is 9

and so on value of F1 is 4 .

Question 4

A survey for a certain year found that 90% of pregnant women received medical care at least once before giving birth. Of these women, 60% received medical care from doctors, while 40% received medical care from other healthcare providers. Given this information, which one of the following statements can be inferred with certainty? 

Tick

More than half of the pregnant women received medical care at least once from a doctor.

Cross

Less than half of the pregnant women received medical care at least once from a doctor.

Cross

More than half of pregnant women received medical care at most once from a doctor. 

Cross

Less than half of the pregnant women received medical care at most once from a doctor.



Question 4-Explanation: 

Total women = 100 
Pregnant women received medical care at least. 
Once before giving birth = 90% of 100 = 90 
Out of 90 women 60% received medical care from doctors = 60% of 90 = 54 

While 40% received from other health care providers = 40% of 90 = 46 
Here, more than half of pregnant women (54) received medical care at least once from a doctor.

Question 5

Looking at the surface of a smooth 3-dimensional object from the outside, which one of the following options is TRUE?

Cross

The surface of the object must be concave everywhere.

Cross

The surface of the object must be convex everywhere.

Tick

The surface of the object may be concave in some places and convex in other places.

Cross

The object can have edges, but no corners.



Question 5-Explanation: 

We can combine the convex and concave lenses, and the resulting lens is known as a convexo-concave or concavo-convex lens, with one side convex and the other side concave. Because convex and concave lenses are three-dimensional objects because they are formed from two spheres (three-dimensional objects), the combined object is also three-dimensional. So the option which suits the most is The surface of the object may be concave in some places and convex in other places. (C) is correct. 

Question 6

Consider the following 

f(t)=0.01t2

g(t)=4t

where 0<t<INFINITY

Now, consider the following two statements

(i)For some t>0,g(t)>f(t)

(ii)There exists a T, such that f(t)>g(t) for all t>T?

Which one of the following options is TRUE?

Cross

Only (i) is correct

Cross

Only (ii) is correct

Tick

Both (i) and (ii) are correct

Cross

Neither (i) nor (ii) is correct



Question 6-Explanation: 

For (i) :

f(1) = 0.01   and   g(1) = 4

So, there exists a t = 1, such that (i) is true.

(ii) matches the definition of small oh notation

Here, g(t) = o(f(t)) is true.

So, f(t) > g(t)  is always true for all t > T

Hence, (ii) is also correct. Option D is the correct answer.

Question 7

The country of Zombieland is in distress since more than 75% of its working population is suffering from serious health issues. Studies conducted by competent health experts concluded that a complete lack of physical exercise among its working population was one of the leading causes of their health issues. As one of the measures to address the problem, the Government of Zombieland has decided to provide monetary incentives to those who ride bicycles to work.

Based only on the information provided above, which one of the following statements can be logically inferred with certainty?

Cross

All the working population of Zombieland will henceforth ride bicycles to work.

Cross

Riding bicycles will ensure that all of the working population of Zombieland is free of health issues.

Cross

The health experts suggested to the Government of Zombieland to declare riding bicycles as mandatory.

Tick

The Government of Zombieland believes that riding bicycles is a form of physical exercise.



Question 7-Explanation: 

The statement "All the working population of Zombieland will henceforth ride bicycles to work" is illogical, because the information provided does not imply that everyone will begin riding bicycles to work.
The statement "Riding bicycles will ensure that all of Zombieland's working population is free of health issues" cannot be logically inferred because other health issues may be affecting the population.
The statement "The health experts suggested to the Government of Zombieland to declare riding bicycles as mandatory" cannot be logically inferred because no information on what the health experts recommended to the government is provided.

Bicycling is considered a form of physical exercise by the Zombieland government. It can be logically inferred with certainty.

Question 8

Which of the following sentence sequence create a coherent narrative?

Cross

Once on the terrace, on her way to her small room in the corner, she notices the man right away.

Cross

She begins to pant by the time she has climbed all the stairs.

Cross

Mina has bought vegetables and rice at the market, so her bags are heavy.

Tick

He was leaning against the parapet, watching the traffic below.



Question 8-Explanation: 

The narrative flows in the logically in this order ,with mina carry heavy bags after shop, then panting as she climbs the stairs and finally ,on the terrace, she notices the man is leaning against he parapet.

Question 9

f(x) and g(y) are functions of x and y, respectively, and f (x) = g (y) for all real values of x and y. Which of the following option is necessarily TRUE for all conditions?

Cross

f(x)=0 and g(y)=0

Tick

f(x)=g(y)=constant

Cross

f(x)=constant and g(y) not constant

Cross

f(x)+g(y)=f(x)-g(y)



Question 9-Explanation: 

Let's analyze from the given information:
We know that f(x) and g(y) are functions of x and y, respectively, and f(x)
= g(y) for all real values of x and y.
Since f(x) and g(y) are equal for all real values of x and y, this means that
both functions are constant.
Now let's consider the options:
(A) f(x) = 0 and g(y) = 0: This is not necessarily true because the 
functions can be any constant value, not necessarily zero.
(B) f(x) = g(y) = constant: This is correct. We already established that 
both functions are constant, so they are equal to some constant value.
(C) f(x) ≠ constant and g(y) ≠ constant: This is not true, as both functions are 
constant.

Question 10

Which one of the options best describes the transformation of the 2-dimensional figure P to Q, and then to R, as shown?

 

Tick

Operation 1: A clockwise rotation by 90º about an axis perpendicular to the plane of the figure

Operation 2: A reflection along a horizontal line

Cross

Operation 1: A counter clockwise rotation by 90º about an axis perpendicular to the plane of the figure

Operation 2: A reflection along a horizontal line

Cross

Operation 1: A clockwise rotation by 90º about an axis perpendicular to the plane of the figure.

Operation 2: A reflection along a vertical line

Cross

Operation 1: A counter clockwise rotation by 180º about an axis perpendicular to the plane of the figure

Operation 2: A reflection along a vertical line



Question 10-Explanation: 

To determine the transformation of the 2-dimensional figure P to Q and 
then to R, let's analyze the changes in the figure step by step:
From P to Q:
The figure is rotated clockwise by 90º about an axis perpendicular to the 
plane of the figure. The triangular portion with the dot moves to the right.
Based on the change, option (A) "Operation 1: A clockwise rotation by 90º
about an axis perpendicular to the plane of the figure" seems correct.
From Q to R:
The figure is reflected along a horizontal line. The triangular portion with 
the dot now appears below the line.
Based on the change, option (A) "Operation 2: A reflection along a 
horizontal line" seems correct.
Therefore, the correct answer is (A)

There are 65 questions to complete.

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