List of top Mathematics Questions

The height of a room is 40% of semi-perimeter of the floor. Akshay wanted to put wall paper on the walls of his room. It cost ₹5,200 to put 50 cm wide wall paper at the rate of ₹40/m leaving an area of 15 m² for doors and windows. Height of room (in m) is:

If a sum of ₹5,000 is deposited on compound interest at 10% per annum, then the amount received after 2 years is :

A hypothesis which shows no relationship or no significant difference between groups on a variable.

Find a single discount equivalent to successive discounts of 10%, 20% and 25%

The area of the circular round shown as 92 \(\pi\) m² then value of r is:

In a class of 25 students, 72% students are interested in sports. How many students do not like participating in sports?

10 men and 15 women can do a work in 6 days. One man can do the work in 100 days. In how many days can a woman do the work?

A statement or a tentative proposition of potential relationship between two or more variables is known as

Match List-I and List-II

LIST I		LIST II
A.	Addition Theorem on probability	I.	\(P(Ei/A)=\frac{p(Ei)P(A/Ei)}{\displaystyle\sum_{l=1}^nP(Ei)P(A/Ei)},i=1,2\)
B.	Binomial distribution	II.	\(P(A\cap B)=P(A)P(B/A),if P(A)\neq0\)
C.	Baye's rule	III.	\(P(A\cup B)=P(A)+P(A)+P(B)-P(A\cap B)\)
D.	Multiplication theorem on prob	IV.	\(P(x=r)=^nC_rp^rq^{n-r},r=0,1,.....,n\)

Choose the correct answer from the options given below:

Given below are two statements: One is lebelled as Assertion A and the other is labelled as Reason R.
Assertion A: If two circles interesect at two points, then the line joining their centres is prependicular to the common chord.
Reason R: The perpendicular bisectors of two chords of a circle intersect at its centre.
In the light of the above statements, choose the correct answer from the options given below:

Given below are two statements :
Statement I: If the roots of the quadratic equation \(x^2-4x-log_3a=0\) are real, then the least value of a is 1/81.
Statement II: The harmonic mean of the roots of the equation \((5+ \sqrt2)x^2 - (4+\sqrt5)x + (8+2\sqrt5) = 0\) is 2.
In the light of the above statements, choose the correct answer from the options given below:

Match List-I and List-II

LIST I		LIST II
A.	No. of triangles formed using 5 points in a line and 3 points on parallel line is	I.	20
B.	No. of diagonals drawn using the vertices of an octagon	II.	10
C.	The no. of diagonals in a regular polygon of 100 sides is	III.	45
D.	A polygon with 35 diagonals has sides	IV.	4850

Choose the correct answer from the options given below:

Which of the following is true:
A. If a cos A = b cos B, then the triangle is isosceles or right angled.
B. If in a triangle ABC, cos A cos B + sin A sin B sin C =1 then the triangle is isosceles right angled.
C. If the ex-radii r1, r2, r3 of ΔABC are in the HP, then it's sides are not in AP
Choose the correct answer from the options given below :

Let A(3, 0, - 1) , B(2, 10, 6) and C(1, 2, 1) be the vertices of a triangle and M be the mid-point of AC. If G divides BM in the ratio 2:1, then cos( ∠GOA ) (O being the origin) is equal to______.

The point(s) at which function f is given by \(f(x)={\begin{Bmatrix}\frac{x}{|x|};x\lt0  \\ -1; x\geq0\end{Bmatrix}}\) is continuous is/are

If every pair from among the equation x² + px + qr = 0, x² + qx + rp = 0 and x² + rx + pq = 0 has a common root, then the product of three common roots is_______.

If f: R→R defined as of f(x) = x² + 1 then minimum value of f(x) is

If f: R→R is defined by f(x)=3x²-5 and g: R→R by g(x)=\(\frac{x}{x+1}\) then gof(x) is

If f and g are differentiable functions in (0, 1) satisfying f(0) = 2 = g(1), g(0) = 0 and f(1) = 6, then for some c ∈]0, 1[

The mean deviation from the mean of the AP a, a+d, a+2d,..... a + 2nd is

If y = x²+x²+x+1, then y________

Given below are two statements:
If \(z_1\) and \(z_2\) are complex numbers
Statement-1 : \(arg(\frac{z_1} {z_2})=arg(z_1)-arg(z_2)\)
Statement-II : \(|z_1+z_2|^2=|z_1|^2+|z_2|^2-2Re(z_1\bar z_2)\)
In the light of the above statements, choose the correct answer from the options given below.

If A, B and C are any three sets, then
A. A-(B∩C) = (A ∩ B) - (A∩C)
B. A-(B∪C) = (A - B) ∩ (A-C)
C. n (A-B) = n(A) -n (A ∩ B)
D. A∩(B - C) = (A∩B) ∩ (A-C)
Choose the most appropriate answer from the options given below :

Choose the correct sequence of the four statements given below, so that the phrase makes a complete sense:
A. Then the sets of equations connecting both are known as transformation of co-ordinates.
B. We can associate a unique set of co-ordinates.
C. Given a point P in rectangular co-ordinates.
D. Called the curvilinear co-ordinates of P.
Choose the correct answer from the options given below.

A boat goes 12 km in one hour along the stream and 6 km in one hour against the stream. The speed of the stream in km/h is: