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

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NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

A university awarded medals in basketball, football, and volleyball. Only x students (x < 6) got medal in all the three sports and the medals went to a total of 15x students. It awarded 5x medals in basketball, (4x + 15) medals in football and (x + 25) medals in volleyball.

How many received medals in exactly two of the three sports ?

30 − 4x

35 − 7x

40 − 7x

45 − 5x

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

How many received medals in at least two of three sports ?

30 − 6x

35 − 6x

40 − 5x

40 − 6x

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

How many received medals in exactly one of three sports ?

21x − 40

21x − 35

20x − 35

20x − 25

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

Let A = $\left(\begin{array}{ccc}0 & \sin^2 \theta & \cos^2 \theta \\ \cos^2 \theta & 0 & \sin^2 \theta \\ \sin^2 \theta & \cos^2 \theta & 0\end{array}\right)$ and A = P + Q where P is symmetric matrix and Q is skew-symmetric matrix.

What is P equal to ?

$\left(\begin{array}{ccc}0 & 1/2 & 1/2 \\ 1/2 & 0 & 1/2 \\ 1/2 & 1/2 & 0\end{array}\right)$

$\left(\begin{array}{lll}0 & 1 & 1 \\ 1 & 0 & 1 \\ 1 & 1 & 0\end{array}\right)$

cos 2θ$\left(\begin{array}{ccc}0 & −1 & 1 \\ 1 & 0 & −1 \\ −1 & 1 & 0\end{array}\right)$

cos 2θ$\left(\begin{array}{ccc}0 & −1/2 & 1/2 \\ 1/2 & 0 & −1/2 \\ −1/2 & 1/2 & 0\end{array}\right)$

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