NDA questions
2295 published questions with worked solutions.
- What is 3 +2 equal to if (2 i +6 j +27 k ) ( i + j + k ) is a null vector?
- For what value of the angle between the vectors a and b is the quantity | a b |+ 3 | a b | maximum?
- Let be the angle between two unit vectors a and b . If a +2 b is perpendicular to 5 a -4 b , then what is + 2 equal to?
- The vectors a , b and c are of the same length. If taken pairwise, they form equal angles. If a = i + j and b = j + k , then what...
- The diagonals of a quadrilateral ABCD are along the lines x-2y=1 and 4x+2y=3. The quadrilateral ABCD may be a
- The foci of the ellipse 4x^2+9y^2=1 are at Q and R. If P(x, y) is any point on the ellipse, then what is PQ+PR equal to?
- If P(2, 4), Q(8, 12), R(10, 14) and S(x, y) are vertices of a parallelogram, then what is (x+y) equal to?
- The equation of a circle is (x^2-4x+3)+(y^2-6y+8)=0 Which of the following statements are correct? I. The end points of a...
- Consider the points P(4k, 4k) and Q(4k, -4k) lying on the parabola y^2=4kx. If the vertex is A, then what is PAQ equal to?
- Which one of the following is correct regarding _ x 3 |x-3| x-3 ?
- What is the maximum value of a x+b x+c?
- If f(2x)=4x^2+1, then for how many real values of x will f(2x) be the GM of f(x) and f(4x)?
- What is _ x 2 ( - ) equal to?
- The mean of n observations 1, 4, 9, 16, , n^2 is 130. What is the value of n?
- Three distinct natural numbers are chosen at random from 1 to 10. What is the probability that they are consecutive?
- A, B, C are three mutually exclusive and exhaustive events associated with a random experiment. If 3P(B)=4P(A) and 3P(C)=2P(B),...
- A die has two faces with number 4, three faces with number 5 and one face with number 6. If the die is rolled once, then what is...
- A box contains 2 black, 4 yellow and 6 white balls. Three balls are drawn in succession with replacement. What is the probability...
- A can hit a target 5 times in 6 shots, B can hit 4 times in 5 shots and C can hit 3 times in 4 shots. What is the probability...
- The letters of the word ZOOLOGY are arranged in all possible ways. What is the probability that the consonants and vowels occur...