NDA questions
2827 published questions with worked solutions.
- What is the order of the differential equation whose solution is y=a x+b x+ce^ -x +d, where a, b, c and d are arbitrary constants?
- What is the solution of the differential equation ( dy dx )=ax+by? (where c is an arbitrary constant)
- If y= ( x), then which one of the following is correct?
- What is the minimum value of [x(x-1)+1]^ 1 3 , where 0 x 1?
- If y=| x|^ |x| , then what is the value of dy dx at x=- 6 ?
- What is dx a^2 ^2x+b^2 ^2x equal to? (where c is the constant of integration)
- Let f(x+y)=f(x)f(y) and f(x)=1+xg(x) (x), where _ x 0 g(x)=a and _ x 0 (x)=b. Then what is f'(x) equal to?
- What is the solution of the differential equation dx dy = x+y+1 x+y-1 ? (where c is an arbitrary constant)
- What is _ x 6 2 ^2x+ x-1 2 ^2x-3 x+1 equal to?
- If two dice are thrown and at least one of the dice shows 5, then the probability that the sum is 10 or more is
- The correlation coefficient computed from a set of 30 observations is 0 8. Then the percentage of variation not explained by...
- If is the harmonic mean of and , and is the arithmetic mean of and , then which of the following is/are correct? 1. 2 ( + 4 ) = 2...
- Let A, B and C be three mutually exclusive and exhaustive events associated with a random experiment. If P(B)=1 5P(A) and P(C)=0...
- In a bolt factory, machines X, Y, Z manufacture bolts that are respectively 25%, 35% and 40% of the factory's total output. The...
- 8 coins are tossed simultaneously. The probability of getting at least 6 heads is
- Three groups of children contain 3 girls and 1 boy; 2 girls and 2 boys; 1 girl and 3 boys. One child is selected at random from...
- Consider the following statements : 1. If 10 is added to each entry on a list, then the average increases by 10. 2. If 10 is...
- The variance of 25 observations is 4. If 2 is added to each observation, then the new variance of the resulting observations is
- If x_i>0, y_i>0 (i=1, 2, 3, n) are the values of two variables X and Y with geometric means P and Q respectively, then the...
- If the probability of simultaneous occurrence of two events A and B is p and the probability that exactly one of A, B occurs is...