NDA questions
2295 published questions with worked solutions.
- If y= | ( 4 -x ) |, then what is dy dx at x= 4 equal to?
- Let f be a differentiable function such that f(x+y)=f(x)+f(y) for all x, y R. Which of the following statements is/are correct?...
- ABC is a triangle right angled at B. If AC=8 units, then what is the area of the triangle of maximum area?
- For the curve y=xe^ 2x
- Let f(x)= xe^x ,dx. Then f(x) decreases in the interval
- What is the solution of the differential equation dy dx =1+x (y-x)?
- Consider the following statements in respect of the function f:R- 3 5 R- 3 5 such that f(x)= 3x+2 5x-3 : I. f(x) is a bijective...
- Let A and B be the sets having only 2 and 3 elements respectively. What is the total number of mappings from A to B?
- The variance of 10 observations is 25. If 2 is multiplied to each of the observations and subsequently 7 is subtracted from each...
- If the random variable X has mean 5 and standard deviation 4, then what is the standard deviation of the random variable Y=3X+4?
- For a binomial distribution with mean 4 and standard deviation 3 , what is the value of P(X=0)?
- If P(A B)=1/2 and P( A B )=1/2, and 2P(A)=P(B)=k, then what is the value of k?
- A committee has 6 men and 4 women. One member is selected randomly which is woman only. What is the probability that she belongs...
- In a class, the probability of passing students in Mathematics is 0 7 and the probability of passing both Mathematics and...
- If the mean of 50 observations is 40 and the standard deviation is 8, then what is the coefficient of variation?
- If two fair dice are tossed, then what is the probability that the sum of the numbers on the faces of the dice is neither 5 nor 7?
- Consider the following statements for three events A, B and C : I. P(A B C) P(A)+P(B)+P(C)-2 II. P(A B C) P(A)+P(B)+P(C) Which of...
- A Mathematics problem is given to two students X and Y to solve. The odds in favour of X solving the problem are 6 to 9 and the...
- The events A and B are independent among three events A, B and D. If P(A B D)=0 04, P(D|A B)=0 25 and P(B)=4P(A), then what is...
- Identify the element having zero valency