Popular Class Vii X Mathematics Questions

Without calculating, which is greater? \frac{361254001}{722508003} or \frac{361254002}{722508005} If I remember correctly, this is one of the first things i learnt from Hall & Knight Edit: Hint: if A/B< C/D, what can you s ...

This one is a very very simple one for nay one in class xi-xii but ffor the sub xi guys.. Write 105 as teh sum of consecutive integers in 8 ways... Dont just give the answer but also think why it works! ...

Kya aap tenth pass se tej hein? . Are u smarter than a tenth grade? check out.............!!!!!! Solve these easy tenth level questions. for everyone..... 1. If triangles ABC and ABM are similar then LA + LD = ? 2. The sum of ...

This is for class IX X only a(a+b+c) = 10 b(a+b+c) = 12 c(a+b+c) = 14 Find a, b, c ...

What is the equation of the reflected ray, when the incident ray is given by y = x - 1, and (i) mirror is along x - axis (ii) mirror is rotated by 45° anti-clockwise from x-axis (iii) mirror is along y - axis ...

the radii of two concentric circles are 13cm and 8cm . AB is diameter of bigger circle. BD is tangent to the smaller circle touching it at D . find the length of AD? ...

though i posted it in 9-10th section.....but everybody is allowed to ans(except experts) *Image* in teh adjoingin fig a circle meets the triangle ABC at 6 points..... *Image* ...

Here an Isosceles triangle is inscribed in a square. The angle A is given by 15 degree... prove that the triangle formed below is an equilateral triangle. *Image* ...

If the points (1, 3) and (5, 1) are two opposite vertices of a rectangle, and other two vertices lie on the line y = 2x + c, then find value of c. ...

How do you decide if or not a fraction is terminating? ...

Find a and b given that (x^6+1) = (x^2+1)(x^2+ax+1)(x^2+bx+1) is an identity ...

what will happen if you kept multiplying \\(1+1/2) \\(1+1/2)(1+1/4) \\(1+1/2)(1+1/4)(1+1/16) \\(1+1/2)(1+1/4)(1+1/16)(1+1/256) \\(1+1/2)(1+1/4)(1+1/16)(1+1/256)...... and so on? would you get a finite number or an infinite on ...

Find the roots of the equation x4+x3-4x2+x+1=0 Hint: Think of (x+1/x) ...

If 0 = 0 Is 00 = 1 and guys I have some doubt about n/0 where n ≠0 Why is it equal to ∞? Please guys, can you explain this to me in a simple way? [7] [7] [7] [7] [7] [7] ...

Help me prove that a} xo=1 b}If two triangles are equiangular ,then their corresponding sides are proportional. ...

prove that \sqrt{(x_1-x_2)^2+ (y_1-y_2)^2}\le \sqrt{x^2_1+y^2_1}+ \sqrt{x^2_2+y^2_2} for all real numbers x_1,y_1,x_2,y_2 HINT: proceed by forming a triangle with suitable coordinates ...

I want to toast Nishant Sir for opening a section for 9th-10th students. It is a superb move and should prove pretty useful I had proposed some such thing in goiit.com and it was totally ignored. The Olympiad section is anywa ...

The area of a square of side (2x − ay + 3) is A(x) + a2y2 + 2y (2x + 3), where A(x) is a polynomial in the variable x. What is the value of the constant a? ...

Q) Find the maximum radius of a semi-circle that can be placed inside a square of side 'a' ...

On a chessboard, the positive real numbers are entered into the squares in such a way that every number is the arithmetic mean of its neighboring squares . Is this possible? If possible then prove it. ...

If x + 1/y = y + 1/z = z + 1/x then prove that, xyz = x3 = y3 = z3 in simple way... please someone..! ...

1002004008016032 has a prime factor p>250000. Find it. Source(David A Santos) Hint: (a^3-b^3)(a^3+b^3) Even though I have put it in the class ix - x level.. it needs a bit of application which is not generally known at ix- ...

10001000 or 1001999 ...

Try to find the sum S=1+2+3..........+100 by this trick below S = 1 + 2 + 3 + 4 + ........... 100 S =100+ 99 + 98 + 97 + ........... 1 Add both and see what happens Note: This is only for class IX - X guys.. Not for every one ...

*Image* Thanx in advance... ...

find x such that 1+ 1/1+ 1/1+ =x . . 1+ 1/x ...

1.Prove that the number between a pair of twin prime numbers is always divisible by 2. Twin prime numbers are prime numbers whose difference is 2. ...

how can we prove gcd(n,n+1)=1 ...

Just like 2 is the smallest natural number which can be represented a sum of two cubes in one way. i.e. - 2 = 13 + 13 Find the smallest natural number representable in two different ways as a sum of two cubes. ...

Find the value of: tan81° - tan63° - tan27° + tan9° ...