1
GATE ECE 2024
+2
-1.33

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.

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 + $\pi$)

B

20 (8 + $\pi$)

C

10 (8 + $\pi$)

D

10 (4 + $\pi$)

2
GATE ECE 2024
+2
-1.33

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.

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.

3
GATE ECE 2024
+2
-1.33

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

4
GATE ECE 2023
+2
-0.67

Which one of the following options represents the given graph?

A
$$f(x) = {x^2}{2^{ - |x|}}$$
B
$$f(x) = x{2^{ - |x|}}$$
C
$$f(x) = |x|{2^{ - x}}$$
D
$$f(x) = x{2^{ - x}}$$
EXAM MAP
Medical
NEET