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List of top Mathematics Questions

If $ A $ is the set of even natural numbers less than 8 and $ B $ is the set of prime numbers less than 7, then the number of relations from $ A $ to $ B $ is:

In what ratio the segment joining $ (-1, -12) $ and $ (3, 4) $ divided by x-axis?

The integrating factor of the differential equation $ x^2 \left(\frac{dy}{dx}\right) - xy = 1 $ is:

If $ 4\cot^2 x - 16\cot x + 15 < 0 $ and x is real then cot x lies in the interval:

In how many ways we can select a group of 2 males and 2 females from the family of 5 males and 3 females?

If $ \vec{A}, \vec{B} $ are unit vectors. If $ \vec{C} = \vec{A} + 2\vec{B} $ and $ \vec{D} = 5\vec{A} - 4\vec{B} $ are perpendicular, then angle between $ \vec{A} $ and $ \vec{B} $ is:

The coefficient of variation of the two frequency distributions is 60% and 40% respectively. Both series have the same mean = 15. What is their standard deviation?

If $ A $, $ B $, and $ C $ are any three arbitrary events such that $P(A) = P(B) = P(C) = \frac{1}{4}$, $ P(A \cap B) = P(B \cap C) = 0 $, and $ P(C \cap A) = \frac{1}{8} $, find the probability that at least one of the events $ A $, $ B $, or $ C $ occur.}

The solution of the equation $ |z| = z + 1 + 2i $ is:

Which of the following statements is false?

If $ \int \sec^2(7 - 4x) \, dx = \tan(7 - 4x) + C $, then the value of $ a $ is:

If A is a $ 3 \times 3 $ matrix, $ |A| \neq 0 $ and $ |3A| = k |A| $, then the values of k is:

A point on the curve $ y = x^3 - 3x $, where the tangent is parallel to the chord joining $ (1, -2) $ and $ (2, 2) $, is:

The area of the figure bounded by the curve $ y = \log_e x $, the x-axis and the straight line $ x = e $ is

The number of four-digit numbers that can be formed from the digits 0, 1, 2, 3, 4, 5 with at least one digit repeated is:

The number of permutations of word DEPENDENT is:

If a= (1, 1, 1), b= (x, y, z), c= (0, 1, -1) are three vectors such that $ a \cdot b = 3, a \times b = c $, then b is

If $ a $, $ b $, $ c $ are nonzero vectors such that $ a = 8b $ and $ c = -7b $, then the angle between $ a $ and $ c $ is:

Let S be the set of all values of θ Ε [-π, π] for which the system of linear equations
x+y+√3z=0
-x+(tanθ)y+ √7z=0
x+y+(tanθ)z = 0 has non-trivial solution.
Then 120/π ∑θ_θ∈s is equal to

If \[ A = \begin{bmatrix} 1 & -2 & 3 \\ -4 & 2 & 5 \end{bmatrix}, B = \begin{bmatrix} 2 & 3 \\ 4 & 5 \\ 2 & 1 \end{bmatrix} \] find the matrix $AB$.