Basic Mathematics and Logarithm questions
509 published questions with worked solutions.
- The remainder when (2023)^ 2023 is divided by 35 is __________.
- If the solution of the equation _ x x+4 _ x x=1, x (0, 2 ), is ^ -1 ( + 2 ), where , are integers, then + is equal to
- The remainder on dividing 5^ 99 by 11 is________.
- The remainder left out when 8^ 2n - (62)^ 2n+1 is divided by 9 is
- If _2 x + _4 x + _8 x + _ 16 x = 25 36 and x = 2^k, then k is
- If 3f(x)-f ( 1 x )=8 _2x^3, x>0, then f(2), f(4), f(8) are in
- If x, y, z are the sides of a right angled triangle, where z is the largest side, then 1 _ x+z y + 1 _ z-x y =
- If x+ _ 15 (5+3^x)=x _ 15 5+ _ 15 24, then x= .....
- If _3x^ 16 +9 _ 27 [3] 3x =5, then x=
- The solution set of the constraints |x-y| 1, x,y 0 is
- If p^3 = q^4 = r^6 = t^7 = s^2, then _t(pqrs) = .
- The value of _ n=1 ^m a^ 2n-1 b^ m-1 (a 0,1; b 0,1) is
- The sum of the series 1 _2 4 + 1 _4 4 + 1 _8 4 + + 1 _ 2^n 4 is
- If a^ x =b^ y =c^ z and x,y,z are in GP then _c b is equal to
- Let f(x)=ax^3+5x^2-bx+1. If f(x) when divided by 2x+1 leaves 5 as remainder, and f'(x) is divisible by 3x-1 then
- x^ 3^n +y^ 3^n is divisible by x+y if
- If 3^ x+1 =6^ _2 3 then x is
- The solution set of | x+1 x |+|x+1|= (x+1)^2 |x| is
- The number of solutions of |[x]-2x|=4, where [x] is the greatest integer x, is
- The set of real values of x satisfying ||x-1|-1 | 1 is
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