List of top Mathematics Questions

Which of the following is a finite set ?

Find first three common multiples of :

1) 6 and 8

2) 12 and 18

Let $a, b, c$ be in $AP$. If $ 0 < a,b,c < 1 ,x=\sum\limits_{n=0}^{\infty }{{{a}^{n}}}, $ $ y=\sum\limits_{n=0}^{\infty }{{{b}^{n}}} $ and $ z=\sum\limits_{n=0}^{\infty }{{{c}^{n}}}, $ then
If f(x) and g(x) are two probability density functions,f(x)={xa+1:−a≤x<0−xa+10≤x≤a0 otherwise g(x)={−xa:−a≤x≤0xa:0≤x≤a0: otherewise Which one of the following statements is true?
Value of cos⁡(−1230∘)×cot⁡(−315∘) is:
Draw a rough sketch of a regular hexagon. Connecting any three of its vertices, draw a triangle. Identify the type of the triangle you have drawn.

Show that the relation R in the set A = {1, 2, 3, 4, 5} given by R={(a,b) : Ia-bI is even},  is an equivalence relation. Show that all the elements of {1, 3, 5} are related to each other and all the elements of {2, 4} are related to each other. But no element of {1, 3, 5} is related to any element of 2, 4}.

Find the value of m for which the line r→=(i^+2k^)+λ(2i^−mj^−3k^) is parallel to the plane r→⋅(mi^+3j^+k^)=4 ?
The value of ddxx2x=
There are 7 Men and 6 Women. In how many ways can we select 5 members in which at least 3 men should be there:
Direction: Below given a question and three statements numbered I, II and III. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and give answer:A metal block of density ‘D’ and mass ‘M’, in the form of a cuboid, is beaten into a thin square sheet of thickness ‘t’, and rolled to form a cylinder of the same thickness. Find the inner radius of the cylinder –Statement I: Cuboid has dimensions 10cm x 5 cm x 12 cmStatement II: Thickness ‘t’ = 1.5cm Statement III: Mass of block, M = 216kg
Which is greater:
(i) \(\frac{2}{7}\)of \(\frac{3}{4}\) or \(\frac{3}{5}\) of \(\frac{5}{8}\)
(ii) \(\frac{1}{2}\) of \(\frac{6}{7}\) or \(\frac{2}{3}\) of \(\frac{3}{7}\)

In ∆ ABC, AD is the perpendicular bisector of BC (see Fig. 7.30). Show that ∆ ABC is an isosceles triangle in which AB = AC.

perpendicular bisector of BC

Identify the error, if any.
Identify the error, if any

Expand each of the following, using suitable identities: 

(i) (x + 2y + 4z) 2 (ii) (2x – y + z) 2 (iii) (–2x + 3y + 2z) 2 

(iv) (3a – 7b – c) 2 (v) (–2x + 5y – 3z) 2 (vi) [ \(\frac{1 }{ 4}\) a - \(\frac{1 }{ 2}\) b + 1]2

Consider the following parallelograms. Find the values of the unknowns \(x, y, z\).
parallelograms
The rank of [400030005] is equal to
If 4log10⁡[x+1]−6log10⁡x−2⋅3log10⁡[x2+2]=0 then the value of 120x is
Write True (T) or False (F) against each of the following statements:
(a) 16: 24: 20: 30
(b) 21: 6: 35: 10
(c) 12: 18: 28: 12
(d) 8: 9: 24: 27
(e) 5.2: 3.9: 3: 4
(f) 0.9: 0.36: 10: 4

Write four solutions for each of the following equations: 

(i) 2x + y = 7 

(ii) πx + y = 9 

(iii) x = 4y

$ \int\limits_{0} ^{1}\frac{dx}{[ax+b(1-x)]^2}$ is equal to
Directions: The following question has four choices, out of which one or more are correct. An infinite current-carrying wire passes through point O and in perpendicular to the plane containing a current-carrying loop ABCD as shown in the figure. Choose the correct option(s).
If x=8+37 and xy=1, then the value of 1x2+1y2 is
Let Sn=∑k=01nn2+kn+k2 and Tn=∑k=01−1nn2+kn+k2, for n=1,2,3,… Then
The equation of a circle of radius 1, touching the circles x2 + y2 - 2|x| = 0 is