NDA Mathematics 16 April 2023 | NDA Year Wise Previous Years Questions

Mathematics

PREVIOUS NEXT

NDA Mathematics 16 April 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Let x be the number of permutations of the word ‘PERMUTATIONS’ and y be the number of permutations of the word ‘COMBINATIONS’. Which one of the following is correct ?

x = y

y = 2x

x = 4y

y = 4x

NDA Mathematics 16 April 2023

MCQ (Single Correct Answer)

+2.5

-0.83

5-digit numbers are formed using the digits 0, 1, 2, 4, 5 without repetition. What is the percentage of numbers which are greater than 50,000 ?

20%

25%

$\frac{100}{3} \%$

$\frac{110}{3} \%$

NDA Mathematics 16 April 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next two (02) items that follow :

Let sin β be the GM of sin α and cos α; tan γ be the AM of sin α and cos α.

What is cos 2β equal to ?

$(\cos \alpha-\sin \alpha)^2$

$(\cos \alpha+\sin \alpha)^2$

$(\cos \alpha-\sin \alpha)^3$

$\frac{(\cos \alpha-\sin \alpha)^2}{2}$

NDA Mathematics 16 April 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next two (02) items that follow :

Let sin β be the GM of sin α and cos α; tan γ be the AM of sin α and cos α.

What is the value of sec²γ?

$\frac{3-\sin 2 \alpha}{5+2 \sin 2 \alpha}$

$\frac{5+\sin 2 \alpha}{3-\sin 2 \alpha}$

$\frac{3-2 \sin 2 \alpha}{4+\sin 2 \alpha}$

$\frac{3-\sin 2 \alpha}{4+3 \sin 2 \alpha}$

PREVIOUS NEXT