NDA Mathematics 21 April 2024 | NDA Year Wise Previous Years Questions

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NDA Mathematics 21 April 2024

MCQ (Single Correct Answer)

+2.5

-0.83

A bag contains 5 black and 4 white balls. A man selects two balls at random. What is the probability that both of these are of the same colour?

$\frac{1}{6}$

$\frac{5}{108}$

$\frac{4}{9}$

$\frac{5}{18}$

NDA Mathematics 21 April 2024

MCQ (Single Correct Answer)

+2.5

-0.83

If a random variable $(x)$ follows binomial distribution with mean 5 and variance 4 , and $5^{23} P(X=3)=\lambda 4^\lambda$, then what is the value of $\lambda$ ?

NDA Mathematics 21 April 2024

MCQ (Single Correct Answer)

+2.5

-0.83

From data (-4, 1), (-1, 2), (2, 7) and (3, 1), the regression line of y on x is obtained as $y = a + bx$, then what is the value of $2a + 15b$?

NDA Mathematics 21 April 2024

MCQ (Single Correct Answer)

+2.5

-0.83

Let $x+2 y+1=0$ and $2 x+3 y+4=0$ are two lines of regression computed from some bivariate data. If $\theta$ is the acute angle between them, then what is the value of $488 \tan 3 \theta$ ?

191

161

131

121

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