Basic Mathematics and Logarithm questions
509 published questions with worked solutions.
- Let A = x : |x^2 - 10| 6 and B = x : |x - 2| > 1 . Then
- The number of distinct real solutions of the equation x|x + 4| + 3|x + 2| + 10 = 0 is
- The sum of all the real solutions of the equation _ (x+3) (6x^2+28x+30) = 5-2 _ (6x+10) (x^2+6x+9) is equal to :
- If the domain of the function f(x) = _ (10x^2-17x+7) (18x^2-11x+1) is (- ,a) (b,c) (d,e, ) - e , then 90(a+b+c+d+e) equals:
- The number of the real solutions of the equation : x|x+3|+|x-1|-2=0 is
- Let S = x^3+ax^2+bx+c : a,b,c N and a,b,c 20 be a set of polynomials. Then the number of polynomials in S, which are divisible by...
- Given below two statements : Statement I : 13^ 13 25^ 13 20^ 13 8^ 13 3 is divisible by 7. Statement II : The integral part of...
- The product of all solutions of the equation e^ 5( _e x)^2+3 = x^8 , x > 0, is :
- Let A = (x, y) R × R : |x + y| 3 and B = (x, y) R × R : |x| + |y| 3 . If C = (x, y) A B : x = 0 or y = 0 , then _ (x,y) C |x+y| is
- Let A = x (0, )- 2 : _ (2/ ) | x| + _ (2/ ) | x| = 2 and B = x 0 : x ( x -4)-3| x -2|+6=0 . Then n(A B) is equal to :
- The sum, of the squares of all the roots of the equation x^2 + |2x-3| - 4 = 0, is
- If the domain of the function _5(18x - x^2 - 77) is ( , ) and the domain of the function _ (x-1) ( 2x^2+3x-2 x^2-3x-4 ) is ( , ),...
- The remainder, when 7^ 103 is divided by 23, is equal to:
- If the domain of the function f(x) = _7(1 - _4(x^2 - 9x + 18))) is ( , ) ( , ), then + + + is equal to
- The number of real roots of the equation x |x – 2| + 3|x – 3| + 1 = 0 is
- n(n+1)(2n+1):n Z (EAMCET 2005)
- x R: 2x-1 x^3+4x^2+3x R equals (EAMCET 2009)
- Let Z denote the set of integers. Then x Z:|x-3|<4 x Z:|x-4|<5 =
- If A= p N:p is a prime and p= 7n^2+3n+3 n for some n N , then the number of elements in the set A is
- In an election between two contestants A and B, x % of the total voters voted for A and (x+20) % voted for B. If 20% of the...
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