NDA Mock Test - 3 - NDA MCQ

What is the value of x satisfying the equation 16 

Direction : α and β are the roots of quadratic equation

Q. 

Find the value of α and β

α and β are the roots of quadratic equation

Q. 

Find the quadratic equation having roots α + 1 and β = – 1

What is the value of r if P (5, r) = P (6, r – 1) ?

If the sum of the first two terms and the sum of the first four terms of a geometric progression with positive common ratio are 8 and 80 respectively, then what is the 6th term ? 

If x > 1 and log₂  x, log₃ x, log_x 16 are in GP, then what is x equal to?

If 2x = 3 + 5i, then what is the value of 2x³ + 2x² – 7x + 72 ? 

 then what is A (Adj A) equal to ?

What is the inverse of 

Consider the following statements in respect of symmetric matrices A and B:

1. AB is symmetric.
2. A² + B² is symmetric.

Which of the above statements is/are correct ? 

If  then which one of the following is correct?

+3 is equal to

If ω is an imaginary cube root of unity, then what is the value of the determinant of the matrix 

Out of a group of 20 teachers in a school, 10 teach Mathematics, 9 teach Physics and 7 teach Chemistry, 4 teach both Mathematics and Physics, but none teach both mathematics and Chemistry. What is the number of teachers who teach both Chemistry and Physics ? 

If the  sides of a triangle are 6 cm, 10 cm and 14 cm, then what is the largest angle included by the sides ? / 

For finding the area of a triangle ABC, which of the following entities are required ? 

If 2^x + 3^y = 17 and 2^x+2  – 3^y+1 = 5, then what is the value of x ?

What is  equal to ? 

then which one of the following is correct ? 

If (x + a) is a factor of both the quadratic polynomials x² + px + q and x² + lx + m, where p, q, l and m are constants, then which one of the following is correct ? 

What is the value of tan (–1575^o)? 

For which acute angle θ cosec²θ = 

What is the value of 1 – sin 10⁰ sin 50⁰ sin 70⁰ ?

The sines of two angles of a triangle are equal to 5/13 and 99/101. What is the consine of the third angle ?

 One radian is approximately equal to which one of the following ? 

then what are the smallest positive values of x and y respectively? 

he angle of elevation from a point on the bank of a river of the top of a temple on the other bank is 45⁰. Retreating 50m, the observer finds the new angle of elevation as 30⁰. What is the width of the river ?