1
GATE CSE 2024 Set 1
+2
-0.66

A rectangular paper of 20 cm × 8 cm is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is

A

18

B

24

C

20

D

21

2
GATE CSE 2024 Set 1
+2
-0.66

The least number of squares to be added in the figure to make AB a line of symmetry is

A

6

B

4

C

5

D

7

3
GATE CSE 2023
+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
4
GATE CSE 2023
+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
$$f(x)+g(y)=f(x)-g(y)$$
GATE CSE Subjects
EXAM MAP
Medical
NEET