NDA Mock Test - 8 - NDA MCQ

What is the argument of (1 – sin θ) + i cos θ? 

If z = 1 + i tan α where π < α < 3π/2, then what is |z| equal to?

What are the square roots of –2i? 

The number 10101111 in binary system is represented in decimal system by which one of the following numbers? 

What is the binary number equivalent of the decimal number 32.25

The sum of an infinite geometric progression is 6. If the sum of the first two terms is 9/2, then what is the first term

A square is drawn by joining mid-points of the sides of a square. Another square is drawn inside the second square in the same way and the process is continued indefinitely. If, the side of the first square is 16 cm, then what is the sum of the areas of all the squares

The arithmetic mean of two numbers exceeds their geometric mean by 2 and the geometric mean exceeds their harmonic mean by 1.6. What are the two numbers?

What is the difference in the roots of the equation x² – 10x + 9 = 0?

If α and β are the roots of the equation x² + bx + c = 0, then what is the value of α^–1 + β^–1?

If the sum of the roots of a quadratic equation is 3 and the product is 2, then the equation is

What is the value of n, if P (15, n – 1) : P (16, n – 2) = 3 : 4 

In how many ways can 6 girls be seated in 2 empty chairs 

What is the total number of combinations of n different things taken 1, 2, 3, ….., n at a time?

How many terms are there in the expansion of (1 + 2x + x²)¹⁰?

In the expansion of (1 + x)ⁿ, what is the sum of even Binomial coefficients

The value of the term independent of x in the expansion of 

log₁₀ tan1^o + log₁₀ tan2^o + …. + log₁₀ tan 89^o is equal to

then a, b and c are in

What is the value of 

 where ω is cube root of unity, then what is A¹⁰⁰ equal to?

What is the value of (sin⁴ θ – cos⁴θ + 1) cosec²θ? 

If tan A = x + 1 and tan B = x – 1, then x² tan (A – B) has the value

If cosec θ + cot θ = c, then what is cos θ equal to?

If sin θ + 2 cos θ = 1, then what is 2sin θ – cos θ equal to?

Consider the following statements

I. The value of cos46^o – sin46^o is positive. 
II. The value of cos 44^o – sin 44^o is negative.

Which of the above statement is/are correct?

What is the value of sin