List of top Mathematics Questions

Let f: [a, b]R be a continuous function on [a, b] and differentiable on (a, b), then there exists some e in (a, b) such that
\(f'(c) = \frac{f(b)-f(a)}{b-a}\)
This theorem in named
Five men working 8 hours per day take 6 days to do a work. How many days will 12 men take to do the same work if they work for 10 hours per day?
Ram has a sum of money, which is sufficient to pay either Usha's wages for 30 days or Manika's wages for 60 days. If he employes them together, the money is sufficient to pay their wages for how many days?
The area of a rhombus is 120 cm2 and length of its one diagonal is 24 cm. Find the perimeter of the rhombus (in cm).
A sum is to be distributed among 4 persons in the proportion of 3:3:2:5. If second person gets ₹ 500 more than the third person them what is the share of the fourth person
If a sum of ₹5,000 is deposited on compound interest at 10% per annum, then the amount received after 2 years is :
A circle S passes through the point (0, 1) and is orthogonal to the circles (x-1)2 + y2 = 16 and x2 + y2 = 1. Then
A. Radius of S is 8
B. Radius of S is 7
C. Centre of S is (-7, 1)
D. Centre of S is (-8, 1)
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 y = x2+x2+x+1, then y________
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:
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______.
If A=\(\begin{bmatrix} 1&0 \\[0.3em] 2&-1 \end{bmatrix}\) B= \(\begin{bmatrix} 3&7 \\[0.3em] 4&8 \end{bmatrix}\) and C = \(\begin{bmatrix} -1&1 \\[0.3em] 0&0 \end{bmatrix}\). The value of A+ (B+C) is
The percentage of loss when an article is sold at Rs. 50 is the same as that of the profit when it is sold at Rs. 70. Percentage of profit or loss on the article is ___.
Mohan invest a certain sum at the rate of Simple Interest 5% per annum. Find the number of years for which Mohan has to invest the the sum to double his sum
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.
The mean of 50 items is 100. At the time of calculations, two items 80 and 190 were wrongly taken as 90 and 20. What is the correct value of the mean?
Which of the following discount option in most beneficial for shop keeper?
(A) Successive discount of 20%, 30% and then pay 10% Service Tax. 
(B) Successive discount of 30%, 10% and then pay 10% Service Tax. 
(C) Pay Service Tax of 10% first, then successive discount of 20%, 30%. 
(D) Pay Service Tax of 10% first, then successive discount of 30%, 20%. 
Choose the most appropriate answer from the options given below
If A = \(\begin{bmatrix}        2 & 3 & 1           \\[0.3em]        0 & -1           & 5 \end{bmatrix}\) and B = \(\begin{bmatrix} 1 & 2 & -1  \\[0.3em]  0 & -1  & 3 \end{bmatrix}\), what is the value of (2A-3B)?
If a Chord which is normal to the parabola y2 = 4ax at one end subtends a right angle at the vertex, then its slope is -
Match List-I and List-II
LIST I LIST II 
A.The angle between the straight lines, 2x2+
3y2-7xy=0 is		I.\(\tan^{-1}\frac{3}{5}\)
B.The circles x2+y2+x+y=0 and x2+y2
+x-y=0 intersect at angle		II.25π
C.The area of circle centered at (1,2) and
passing through (4,6) is		III.π/4
D.The parabola y2=4x and x2
=32y intersect at point (16,8) at angle		IV.π/2

Choose the correct answer from the options given below:
Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: An elevator starts with m passengers and stops at n floors (m \(\leq\) n). The probability that no two passengers alight at the same floor is \(\frac{^np_m}{m_n}\)
Reason R: If (n + 1) p is an integer, say m, then\(p(x=r)= ^nC_rp^Ω(1-p)^{n-Ω} \)is maximum when r = m or r = m -1
In the light of the above statements, choose the most appropriate answer from the options given below :