Mathematics questions

18011 published questions with worked solutions.

• Let x (1, ) and n be a positive integer greater than 1. If f_n(x)= n 1 _2x + 1 _3x + + 1 _nx , then (n!)^ f_n(x) equals to
  JEE Main · Mathematics · Basic Mathematics and Logarithm
• If x^ _x (x^2-4x+5 ) =(x-1), then x=
  JEE Main · Mathematics · Basic Mathematics and Logarithm
• If _ 10 2=0.3010, then _564=
  JEE Main · Mathematics · Basic Mathematics and Logarithm
• If a^2+4b^2=12ab, then (a+2b)=
  JEE Main · Mathematics · Basic Mathematics and Logarithm
• If 2^x 9^ 2x+3 =7^ x+5 , then x=
  JEE Main · Mathematics · Basic Mathematics and Logarithm
• If _6 _4 ( x+4 + x ) =0, then x=
  JEE Main · Mathematics · Basic Mathematics and Logarithm
• If x= _35, y= _ 17 25 which one of the following is correct?
  JEE Main · Mathematics · Basic Mathematics and Logarithm
• If x a^2+ab+b^2 = y b^2+bc+c^2 = z c^2+ca+a^2 , then x^ a-b y^ b-c z^ c-a =
  JEE Main · Mathematics · Basic Mathematics and Logarithm
• If _3 _6 ( x^2+x x-1 ) =0 then x=
  JEE Main · Mathematics · Basic Mathematics and Logarithm
• If a b-c = b c-a = c a-b , then a^ab^bc^c=
  JEE Main · Mathematics · Basic Mathematics and Logarithm
• If 1 _3 + 1 _4 >x, then the greatest integral value of x is
  JEE Main · Mathematics · Basic Mathematics and Logarithm
• If _6(x+3)- _6x=2, then x=
  JEE Main · Mathematics · Basic Mathematics and Logarithm
• The value of 5^ _57 -7^ _75 is
  JEE Main · Mathematics · Basic Mathematics and Logarithm
• The value of 3^ 4 _49 +27^ 1 _ 36 9 +81^ 1 _53 , is
  JEE Main · Mathematics · Basic Mathematics and Logarithm
• The value of 49 7+ 25 5- 4 2 17.5 is
  JEE Main · Mathematics · Basic Mathematics and Logarithm
• If 3^ 2x+1 4^ x-1 =36, then x=
  JEE Main · Mathematics · Basic Mathematics and Logarithm
• If a=1+ _xyz, b=1+ _yzx, c=1+ _zxy, then ab+bc+ca=
  JEE Main · Mathematics · Basic Mathematics and Logarithm
• The value of _ba _cb _ac, is
  JEE Main · Mathematics · Basic Mathematics and Logarithm
• The value of 2^ _37 -7^ _32 is
  JEE Main · Mathematics · Basic Mathematics and Logarithm
• If _x (4x^ _5x +5 )=2 _5x, then x equals to
  JEE Main · Mathematics · Basic Mathematics and Logarithm

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