Basic Mathematics and Logarithm questions
509 published questions with worked solutions.
- 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 ____.
- If _ 10 x+ _ 10 x=-1 and _ 10 ( x+ x)= ( _ 10 n)-1 2 , then the value of n/3 is ____.
- The value of e^ _ 10 1^ + _ 10 2^ + _ 10 3^ + + _ 10 89^ is
- |x|=| x| if
- The solution of the equation _ x x+ _ x x=2 is given by
- For x ∈ R, f(x) = |log 2 – sinx| and g(x) = f(f(x)), then :
- The number of real roots of the equation 5 + |2^x - 1| = 2^x(2^x - 2) is:
- The region represented by |x − y| ≤ 2 and |x + y| ≤ 2 is bounded by a:
- The number of distinct solutions of the equation, _ 1/2 | x| = 2 - _ 1/2 | x| in the interval [0, 2 ], is _____
- The number of distinct real roots of the equation |x||x + 2| − 5|x + 1| − 1 = 0 is __________.
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