NDA Mathematics 4 September 2022 | NDA Year Wise Previous Years Questions

Mathematics

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NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

What is the differential equation of the family of parabolas having a vertex at origin and axis along positive y-axis?

x$\frac{\text{dy}}{\text{dx}}$ + 2y = 0

x$\frac{\text{dy}}{\text{dx}}$ − 2y = 0

y$\frac{\text{dx}}{\text{dy}}$ + 2x = 0

y$\frac{\text{dx}}{\text{dy}}$ − 2x = 0

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

What is the solution of the differential equation (dy − dx) + cos x(dy + dx) = 0 ?

y = tan$\left(\frac{x}{2}\right)$ − x + c

y = $\frac{1}{2}\tan\left(\frac{x}{2}\right)$ − x + c

y = 2tan$\left(\frac{x}{2}\right)$ − x + c

y = tan$\left(\frac{x}{2}\right)$ − 2x + c

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

Let x be the mean of squares of first n natural numbers and y be the square of mean of first n natural numbers. If $\frac{\text{x}}{\text{y}} = \frac{55}{42}$, then what is the value of n ?

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

What is the probability of getting a composite number in the list of natural numbers from 1 to 50?

$\frac{7}{10}$

$\frac{17}{25}$

$\frac{18}{25}$

$\frac{33}{50}$

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