List of top Mathematics Questions asked in MET

The number of ways of selecting 3 balls from a bag containing 5 red and 4 blue balls such that at least one is red is:

If $X$ is a binomial variate with the range 0, 1, 2, 3, 4, 5, 6 and $P(X=2)=4P(X=4),$ then the parameter $p$ of $X$ is

The number of ways in which 5 people can be seated around a circular table is:

P is a point on the segment joining the feet of two vertical poles of heights a and b. The angles of elevation of the tops of the poles from P are $45^{\circ$ each. Then, the square of the distance between the tops of the poles is

If $A$ and $B$ are two events such that $P(A) = 0.4, P(B) = 0.8$ and $P(B|A) = 0.6$, then $P(A \cup B)$ is:

If $3 \cos x \neq 2 \sin x$, then the general solution of $\sin^{2x-\cos 2x=2-\sin 2x$ is

In any $\Delta ABC$, $a(b \cos C-c \cos B)$ equals

The locus of z satisfying the inequality \( \left| \frac{z+2i}{2z+i} \right| < 1 \), where \( z = x + iy \), is

Let A and B be two symmetric matrices of same order. Then, the matrix AB - BA is

The roots of $(x-a)(x-a-1)+(x-a-1)(x-a-2)+(x-a)(x-a-2)=0, a \in R$ are always

The area of the region bounded by the curve \( x = 4 - y^{2} \) and the y-axis is:

The number of divisors of 360 (excluding 1 and 360) is:

The value of $\sin(45^{\circ} + \theta) - \cos(45^{\circ} - \theta)$ is:

The general solution of \( \frac{dy}{dx} = e^{x - y} \) is:

A man walks 5 km South and then turns Right. After walking 3 km he turns Left and walks 5 km. Now in which direction is he from the starting place?

If 5 men can build a wall in 12 days, how many days will 10 men take?

A train 100m long passes a bridge in 10 seconds at 72 km/hr. The length of the bridge is:

A shopkeeper sold an item for Rs. 440 at a 10% profit. What was the Cost Price?

A boat goes 12 km/hr in still water. If the speed of the stream is 4 km/hr, what is the boat's speed downstream?

The value of \( \cos^{2} 48^\circ - \sin^{2} 12^\circ \) is:

The value of \( \cot 70^\circ + 4\cos 70^\circ \) is:

If \( \sin \theta \) and \( \cos \theta \) are the roots of the equation \( ax^{2} - bx + c = 0 \), then:

The value of \( \sum_{k=1}^{n} \frac{1}{\sqrt{a_{k}} + \sqrt{a_{k+1}}} \), where \( a_{1}, a_{2}, \dots, a_{n} \) are in A.P. with common difference \( d \), is:

If the sum of \( n \) terms of two A.P.s are in the ratio \( (3n + 8) : (7n + 15) \), then the ratio of their \( 12^{\text{th}} \) terms is:

The value of \( \sqrt{6 + \sqrt{6 + \sqrt{6 + \cdots}}} \) is: