NDA questions
2827 published questions with worked solutions.
- What is the value of _ - /4 ^ /4 ( x- x) ,dx?
- If _ a ^ b x^3 ,dx=0 and _ a ^ b x^2 ,dx= 2 3 , then what are the values of a and b respectively?
- What is _ 0 ^ 1 x(1-x)^9 ,dx equal to?
- What is _ x 0 x 2x equal to?
- What is _ h 0 2x+3h - 2x 2h equal to?
- If f(x) is an even function, where f(x) 0, then which one of the following is correct?
- What is the solution of (1+2x) ,dy-(1-2y) ,dx=0?
- What are the order and degree, respectively, of the differential equation ( d^3y dx^3 )^2=y^4+ ( dy dx )^5?
- In a Binomial distribution, the mean is three times its variance. What is the probability of exactly 3 successes out of 5 trials?
- Consider the following statements : 1. P( A B)=P( A )+P(B)-P( A B) 2. P(A B )=P(B)-P(A B) 3. P(A B)=P(B) ,P(A|B) Which of the...
- The probabilities that a student will solve Question A and Question B are 0 4 and 0 5 respectively. What is the probability that...
- Let x be the mean of x_1, x_2, x_3, , x_n. If x_i=a+cy_i for some constants a and c, then what will be the mean of y_1, y_2, y_3,...
- Consider the following statements : 1. If the correlation coefficient r_ xy =0, then the two lines of regression are parallel to...
- Consider the following statements : 1. Mean is independent of change in scale and change in origin. 2. Variance is independent of...
- What is the median of the numbers 4 6, 0, 9 3, -4 8, 7 6, 2 3, 12 7, 3 5, 8 2, 6 1, 3 9, 5 2?
- In a test in Mathematics, 20% of the students obtained "first class". If the data are represented by a Pie-Chart, what is the...
- The mean and standard deviation of a set of values are 5 and 2 respectively. If 5 is added to each value, then what is the...
- Two fair dice are rolled. What is the probability of getting a sum of 7?
- If A and B are two events such that 2P(A)=3P(B), where 0<P(A)<P(B)<1, then which one of the following is correct?
- One bag contains 3 white and 2 black balls, another bag contains 5 white and 3 black balls. If a bag is chosen at random and a...