1
GATE CE 2024 Set 1
MCQ (Single Correct Answer)
+1
-0.33

Which one of the following statements related to bitumen is FALSE?

A

Kinematic viscosity is a measure of resistance to the flow of molten bitumen under gravity.

B

Softer grade bitumen possesses higher softening point than hard grade bitumen.

C

Flash point of bitumen is the lowest temperature at which application of a test flame causes vapours of the bitumen to catch an instant fire in the form of flash under specified test conditions.

D

Ductility test is carried out on bitumen to test its adhesive property and ability to stretch.

2
GATE CE 2024 Set 1
MCQ (Single Correct Answer)
+1
-0.33

The smallest positive root of the equation $$x^5 - 5 x^4 - 10 x^3 + 50 x^2 + 9 x - 45 = 0$$ lies in the range

A

0 < x ≤ 2

B

2 < x ≤ 4

C

6 ≤ x ≤ 8

D

10 ≤ x ≤ 100

3
GATE CE 2024 Set 1
MCQ (Single Correct Answer)
+1
-0.33

The second-order differential equation in an unknown function $$u : u(x, y)$$ is defined as $$\frac{\partial^2 u}{\partial x^2}= 2$$

Assuming $$g : g(x)$$, $$f : f(y)$$, and $$h : h(y)$$, the general solution of the above differential equation is

A

$$u = x^2 + f(y) + g(x)$$

B

$$u = x^2 + x f(y) + h(y)$$

C

$$u = x^2 + x f(y) + g(x)$$

D

$$u = x^2 + f(y) + y g(x)$$

4
GATE CE 2024 Set 1
MCQ (Single Correct Answer)
+1
-0.33

The probability that a student passes only in Mathematics is $\frac{1}{3}$. The probability that the student passes only in English is $\frac{4}{9}$. The probability that the student passes in both of these subjects is $\frac{1}{6}$. The probability that the student will pass in at least one of these two subjects is

A

$\frac{17}{18}$

B

$\frac{11}{18}$

C

$\frac{14}{18}$

D

$\frac{1}{18}$

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