NDA Mathematics 3 September 2023 | NDA Year Wise Previous Years Questions

Mathematics

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NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

If r is the coefficient of correlation between x and y, then what is the correlation coefficient between (3x + 4) and (-3y + 3)?

-r

√3 r

-√3r

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

A fair coin is tossed 6 times. What is the probability of getting a result in the 6^th toss which is different from those obtained in the first five tosses ?

$\frac{7}{16}$

$\frac{1}{16}$

$\frac{1}{32}$

$\frac{1}{64}$

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

If H is the Harmonic Mean of three numbers 10C4, 10C5, and 10C6, then what is the value of $\frac{270}{H}$ ?

$\frac{14}{17}$

$\frac{17}{14}$

$\frac{1}{31}$

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

In a class, there are n students including the students P and Q. What is the probability that P and Q sit together if seats are assigned randomly?

$\frac{1}{n}$

$\frac{2}{n}$

$\frac{4}{n}$

$\frac{1}{2n}$

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