NDA 2016

How many possible values can n have?

What is the largest interior angle of the polygon?

If 1 0 0 1 m and n 0 1 1 0     = =   −     , then what is the value of the determinant of m cos n sin θ − θ…

If for any x1, y1 and x1, then which one of the following is correct?

If the number 235 in decimal system is converted into binary system, then what is the resulting number?

Under what condition does the above equation have real roots?

Under what condition is 2 2 1 1 1 + < α β ?

What is 2 1 1 + ω + ω equal to, where ω is the cube root of unity?

Under what condition dose the above system of equations have infinitely many solutions?

Under what condition does the above system of equations have unique solutions?

What is the number of odd integers between 1000 and 9999 with no digit repeated?

What is the greatest value of the positive integer n satisfying the condition n 1 1 1 1 1 1 1 ..... 2 ? 2 4 8 2 1000− +…

What is the value of α ?

If β, 2, 2m are in GP, then what is the value of m β ?

If x=sin 70 0 . sin 50 0 and y=cos60 0 . cos80 0 , then what is xy equal to?

If 1 2 3 4sin sin sin sin 4, θ + θ + θ + θ = then what is the value of 1 2 3 4cos cos cos cos ? θ + θ + θ + θ

What is the value of 3 5 7 1 cos 1 cos 1 cos 1 cos ? 8 8 8 8 π π π π      + + + +         

If x cos ysin z θ + θ = , then what is the value of ?

What is the value of cos(2 cos-1 0.8)?

The top of a hill when observed from the top and bottom of a building of height h is at angles of elevation p and q res…