NDA questions
2295 published questions with worked solutions.
- What is dx x+ x equal to?
- What is dx ^2( ^ -1 x) equal to?
- If x+y=20 and P=xy, then what is the maximum value of P?
- What is the derivative of ( x)+ ( x) with respect to x at x=e?
- If x=e^t t and y=e^t t, then what is dx dy at t=0 equal to?
- What is the maximum value of 2x 2x?
- If a differentiable function f(x) satisfies _ x -1 f(x)+1 x^2-1 =- 3 2 then what is _ x -1 f(x) equal to?
- If the function f(x)= cases a+bx, & x<1 5, & x=1 b-ax, & x>1 cases is continuous, then what is the value of (a+b)?
- Consider the following statements in respect of the function f(x)= x : 1. f(x) increases in the interval (0, ). 2. f(x) decreases...
- What is the domain of the function f(x)=3^x?
- If the general solution of a differential equation is y^2+2cy-cx+c^2=0, where c is an arbitrary constant, then what is the order...
- What is the degree of the following differential equation? x= 1+ d^2y dx^2
- Which one of the following differential equations has the general solution y=ae^x+be^ -x ?
- What is the solution of the following differential equation? ( dy dx )+y=x
- What is e^ (2 x+ x^2) dx equal to?
- Consider the following measures of central tendency for a set of N numbers : 1. Arithmetic mean 2. Geometric mean Which of the...
- If M is the mean of n observations x_1-k, x_2-k, x_3-k, , x_n-k, where k is any real number, then what is the mean of x_1, x_2,...
- What is the sum of deviations of the variate values 73, 85, 92, 105, 120 from their mean?
- Let x be the HM and y be the GM of two positive numbers m and n. If 5x=4y, then which one of the following is correct?
- If the mean of a frequency distribution is 100 and the coefficient of variation is 45%, then what is the value of the variance?