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

Consider two functions of time (t),

$$f(t)=0.01\,t^2$$

$$g(t)=4\,t$$

where $$0 < t < \infty$$.

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?

A
only (i) is correct
B
only (ii) is correct
C
both (i) and (ii) are correct
D
neither (i) nor (ii) is correct
2
GATE CSE 2023
MCQ (Single Correct Answer)
+2
-0.67

Which one of the following sentence sequences creates a coherent narrative?

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

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

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

(iv) He was leaning against the parapet, watching the traffic below.

A
(i), (ii), (iv), (iii)
B
(ii), (iii), (i), (iv)
C
(iv), (ii), (i), (iii)
D
(iii), (ii), (i), (iv)
3
GATE CSE 2023
MCQ (Single Correct Answer)
+2
-0.67

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

A
$$f(x)=0$$ and $$g(y)=0$$
B
$$f(x)=g(y)=$$ constant
C
$$f(x)\ne$$ constant and $$g(y)\ne$$ constant
D
$$f(x)+g(y)=f(x)-g(y)$$
4
GATE CSE 2023
MCQ (Single Correct Answer)
+2
-0.67

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

GATE CSE 2023 General Aptitude - Verbal Ability Question 5 English

A

Operation 1 : A clockwise rotation by 90$$^\circ$$ about an axis perpendicular to the plane of the figure

Operation 2 : A reflection along a horizontal line

B

Operation 1 : A counter clockwise rotation by 90$$^\circ$$ about an axis perpendicular to the plane of the figure

Operation 2 : A reflection along a vertical line

C

Operation 1 : A clockwise rotation by 90$$^\circ$$ about an axis perpendicular to the plane of the figure

Operation 2 : A reflection along a vertical line

D

Operation 1 : A counter clockwise rotation by 180$$^\circ$$ about an axis perpendicular to the plane of the figure

Operation 2 : A reflection along a vertical line

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