Mathematics questions
18011 published questions with worked solutions.
- The number of integers satisfying the inequality _ 1/2 |x-3|>-1 is ____.
- The value of ( _ 10 2)^3+ _ 10 8 _ 10 5+( _ 10 5)^3 is ____.
- If _4A= _6B= _9(A+B), then [4 B A ] (where [ ] represents the greatest integer function) equals ____.
- The reciprocal of 2 _4(2000)^6 + 3 _5(2000)^6 is ____.
- The sum of all integral values of x satisfying the inequality 3^ 52 _3(12-3x) -3^ _2x >32 is ____.
- If _ab=2, _bc=2 and _3c=3+ _3a, then the value of c/(ab) is ____.
- The sum of integers satisfying _2x-1 - 12 _2(x^3)+2>0 is ____.
- If a= _ 245 175 and b= _ 1715 875, then the value of 1-ab a-b is ____.
- The number of integers 10 satisfying the inequality 2 _ 1/2 (x-1) 13- 1 _ x^2-x 8 is ____.
- The integral value of x which satisfies the equation _654+ _x16= _ 2 x- _ 36 49 is ____.
- The least integer greater than _215 _ 1/6 2 _3 16 is ____.
- The value of _ ( 3+2 2 + 3-2 2 ) 2^9 is ____.
- The difference of the roots of the equation ( _ 27 x^3)^2= _ 27 x^6 is ____.
- In a triangle ABC, C= 2 . If ( A 2 ) and ( B 2 ) are the roots of the equation ax^2+bx+c=0 (a 0), then the value of a+b c is ____.
- The value of 1^ + 3^ + 5^ + 7^ 1^ 2^ 4^ is ____.
- The maximum value of y= 1 ^6x+ ^6x is ____.
- If f( )= 1- 2 + 2 2 2 , then the value of 8f(11^ ) f(34^ ) is ____.
- The maximum value of ^2(45^ +x)+( x- x)^2 is ____.
- and are positive acute angles satisfying the equations 5 2 =3 2 and =3 simultaneously. Then the value of + is ____.
- The minimum value of (3 x-4 x-10)(3 x+4 x-10) is ____.