NDA Mock Test: Mathematics - 8 - NDA MCQ
30 Questions MCQ Test - NDA Mock Test: Mathematics - 8
A box contains 6 distinct dolls. From this box, three dolls are randomly selected one by one with replacement. What is the probability of selecting 3 distinct dolls?
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There are 4 letters and 4 directed envelopes. These 4 letters are randomly inserted into the 4 envelopes. What is the probability that the letters are inserted into the corresponding envelopes?
If A and B are events such that P (A U B) = 0.5, P 
= 0.8 and P (A/B) = 0.4, then what is P (A ∩ B) equal to
The arithmetic mean of the squares of the first n natural numbers is
Which one of the following measures is determined only after the construction of commulative frequency distribution?
Which one of the following is the unit vector perpendicular to the vectors 4i + 2j and –3i + 2j?
If p, q, r and s be respectively the magnitudes of the vectors 3i – 2j, 2i + 2j + k, 4i – j + k, 2i + 2j + 3k. Then, which one of the following is correct?
If the position vector of a point P with respect to the origin O is i + 3j – 2k and that of a point Q is 3i + j – 2k, then what is the position vector of the bisector of the ∠POQ?
Let a, b and c be the distinct non-negative numbers. If the vectors ai + aj + ck, i + k, ci + cj + bk lie on a plane, then which one of the following is correct?
The solution of the differential equationc 
+ x3y + cosec (xy) = 0, is equal to
What is the order of the differential equation 
– sin2y = 0?
y = 2 cosx + 3sinx satisfies which of the following differential equations?
select the correct answer using the code given below
The differential equation of the curve y = sin x is
The area bounded by the curve 
the Y-axis and the two lines y = a and y = b is equal to
What is the area under the curve f (x) = xex above the Xaxis and between the lines x = 0 and x = 1?
What is the area bounded by the curve y = x2 and the line y = 16?
equal to?
(1 - x)n dx equal to
dx equal to
dx equal to?
equal to? 
dx equal to?The growth of a quantity N (t) at any instant t is given by 
= αN(t). If N(t) = cekt, c is a constant, then what is the value of α?
The velocity of telegraphic communication is given by v 
where x is the displacement. For maximum velocity, x equals to
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