NDA questions
2295 published questions with worked solutions.
- Consider the following in respect of inverse circular functions : I. ^ -1 (-x)=- ^ -1 x II. ^ -1 (-x)= ^ -1 x III. ^ -1 (-x)= - ^...
- What is [2 ^ -1 1 2 - 4 ] equal to?
- The angles A, B and C of a triangle are in the ratio 1:1:4. If the longest side of the triangle is 3 units, then what is the...
- In a triangle ABC, if a, b and c are the lengths of the sides opposite to the angles A, B and C respectively, then what is (A-B)...
- What is the smallest positive x satisfying _ x x+ _ x x=2?
- A plane is observed to be approaching the airport. It is at a distance of 10 km from the point of observation and makes an angle...
- What is the length of the chord of a unit circle which subtends at the centre of the circle an angle of 45^ ?
- Let R be a relation on the set N of natural numbers defined by R= (x, y) : x, y N and x=y^3 . Which of the following statements...
- Consider the following statements : I. x +x+1=0 has two irrational roots. II. 5 x -x-4=0 has two rational roots. Which of the...
- How many numbers greater than 1000 can be formed using the digits 0, 1, 2 and 3 (repetition of digits is not allowed)?
- If p^ th term of an AP is k, then what is the sum of p^ th term, (p+q)^ th term and (p-q)^ th term of the AP?
- If f(x) is differentiable at x=a, then consider the following statements : I. f(x) is continuous at x=a II. _ x a f(x)=f(a) Which...
- What is _ x 1 x^ (n^2-1) -1 x^ (n+1) -1 equal to, where n>1 is a natural number?
- What is _ x 0 10^ x -1 x equal to?
- What is the derivative of x |x| with respect to x, where x<0?
- Consider the following statements in respect of the function f(x)=x in the interval (-1, 1) : I. The function attains maximum...
- What is the length of the longest interval in which the function f(x)=2 ^2x-1 is decreasing?
- If A and B are acute angles such that 2A+2B= , then what is the maximum value of A. B?
- What is the solution of the differential equation ( dy dx )=p when y(0)=q?
- If the mean of 20 observations, namely x_1, x_2, x_3, , x_ 20 is 1 414, then what is the value of _ i=1 ^ 20 100(2x_i+4)?