Basic Mathematics and Logarithm questions
509 published questions with worked solutions.
- If _ 10 x+ _ 10 y 2 then the smallest possible value of x+y is
- If x^2-1 is a factor of x^4+ax^3+3x-b then
- If x+y and y+3x are two factors of the expression x^3- x^2y+xy^2+y^3 then the third factor is
- The equation ||x-1|+a |=4 can have real solutions for x if a belongs to the interval
- The equation |x+1| ,|x-1|=a^2-2a-3 can have real solutions for x if a belongs to
- The equation x^ 34( _2x)^2+ _2x- 54 = 2 has
- x^2-4 is a factor of f(x)=(a_1x^2+b_1x+c_1) (a_2x^2+b_2x+c_2) if
- If _ 1/2 |z|^2+2|z|+4 2|z|^2+1 <0 then the region traced by z is
- If P=n(n^2-1^2)(n^2-2^2)(n^2-3^2) (n^2-r^2), n>r, n N , then P is divisible by
- 2^ 60 when divided by 7 leaves the remainder
- Let x+y z+ 1z, x-y z- 1z and z=2, when y=1, x=3. Then
- If _4 5 = a and _5 6 = b then _3 2 is equal to
- If _5 a _a x = 2 then x is equal to
- Let f(x) = _ 10 x^ 2 . The set of all values of x for which f(x) is real, is
- The set of real values of x for which 2^ _ 2 (x-1) > x + 5 is
- If x = _a(bc), y = _b(ca) and z = _c(ab) then which of the following is equal to 1?
- If x_n > x_ n-1 > > x_2 > x_1 > 1 then the value of _ x_1 _ x_2 _ x_3 _ x_n x_n^ ,x_ n-1 ^ , ^ ^ ^ x_1 is equal to
- If x : y : z = (y-z) : (z-x) : (x-y) then
- x^ _x a _a y _y z is equal to
- The number of zeros coming immediately after the decimal point in the value of (0.2)^ 25 is (given _ 10 2 = 0.30103)
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